2. Sophia - Introduction to Statistics (3) - Unit 2

Katherine, Jonathan, and Ryan are very competitive friends who went bowling. Afterward, two of them decided to make bar graphs to plot their scores. Who do you think made Graph 1 and why? Jonathan, because he wanted to make the scores appear reasonably close. Ryan, because he wanted to accurately show each person's score. Katherine, because she wanted to make the scores appear very different. Jonathan, because he wanted to make the scores appear very different.

Katherine, because she wanted to make the scores appear very different.

Consider the times (in seconds) that it took children and adults to solve a Rubik's cube at a competition. What does the circled section represent? Two children took over 70 seconds to solve the Rubik's cube. It took 7 children 12 seconds to solve the Rubik's cube. It took 7 children 21 seconds to complete the Rubik's cube. It took 21 children 7 seconds to solve the Rubik's cube.

One child took 72 seconds to solve the Rubik's cube, while another took 71 seconds to solve it.

Which of the following statements is true? The range is found by adding the minimum value to the maximum value. The interquartile range covers the middle 75% of the data set. The interquartile range is better than the standard deviation to describe skewed data sets. The range is found by subtracting the median value from the maximum value.

The interquartile range is better than the standard deviation to describe skewed data sets.

Which of the following statements correctly describes a measure of center? The median is calculated by adding all of the values in a data set and then dividing by the total number of values. The mean and median can be used to summarize any quantitative data. There can only be one mode in any given set of data. The mean is unaffected by extreme values in a small data set.

The mean and median can be used to summarize any quantitative data.

Erica is performing an experiment that requires her to weigh multiple samples. The masses of her samples are found to be normally distributed with a mean of 157g and a standard deviation of 5.2g. If Erica wants to convert her data to a standard normal distribution, which of the following statements is true? The new mean would be 1, and the standard deviation would be 0. The new mean would be 1, and the standard deviation would be 5. The new mean would be 0, and the standard deviation would be 1. The new mean would be 0, and the standard deviation would be 5.

The new mean would be 0, and the standard deviation would be 1.

Which of the following statements is NOT true about the normal distribution? A large portion of the data is located near the center in a normal distribution. The normal distribution can be described as "bell-shaped." The normal distribution is an example of a bimodal distribution. We only need to know the mean and standard deviation in order to completely describe a normal distribution.

The normal distribution is an example of a bimodal distribution.

A baseball scout recorded the type of pitch a pitcher threw during a game and whether it was thrown for a strike or a ball. Which of the following is a true statement about the stacked bar chart? The pitcher threw under 100 total pitches. The pitcher's most accurate pitch (highest percent strikes) is the curveball. The pitcher threw about the same number of strikes when throwing changeups as he did throwing fastballs. Over half of the sliders the pitcher threw were balls.

The pitcher threw about the same number of strikes when throwing changeups as he did throwing fastballs.

The stem-and-leaf plot below shows the quiz scores of 50 students. How many students scored higher than 25 on the test? A.) 6 students B.) 7 students C.)14 students c

The stem-and-leaf plot below shows the quiz scores of 50 students. How many students scored higher than 25 on the test? A.) 6 students B.) 7 students C.)14 students D.) 11 students

The formula for standard deviation of a sample is: Select the true statement for the following data set that has a mean of 5:2, 4, 4, 4, 5, 5, 5, 7, 9 The variance is 4 and the standard deviation is 2. The variance is 3 and the standard deviation is 1. The variance is 8 and the standard deviation is 0. The variance is 2 and the standard deviation is 4.

The variance is 4 and the standard deviation is 2.

Which of the following statements is NOT true? To apply the Central Limit Theorem to a sampling distribution, the underlying population (the population sampled) must also be normally distributed. The Central Limit Theorem is applicable generally only applicable for data sets comprising 30 or more samples. According to the Central Limit Theorem, the mean of the sampling distribution is equal to the population mean. For a large enough sample size, the Central Limit Theorem states that the sample means of repeated samples of a population are normally distributed.

To apply the Central Limit Theorem to a sampling distribution, the underlying population (the population sampled) must also be normally distributed.

Matt just received his test back. He scored a 78 out of a possible 90 points. His teacher told him the mean score on the test was a 70, with a standard deviation of 5. Matt's z-score for the test was __________. 2.4 1.6 -1.6 -2.4

1.6

Consider the histogram showing the heights of individuals on a basketball team. Which of the following is the difference in height between the shortest player on the team and the tallest player on the team? 10 inches 4 inches 75 inches 82 inches

10 inches

Sara wonders what percentage of her students answered over 75% of the quiz questions correctly. The relative cumulative frequency of students who earned a score of 31 or higher on the quiz is __________%. 6% 44% 88% 12%

12%

Consider the following data set with a mean of 33: 24, 56, 33, 19 Using the equation below or the standard deviation formula in Excel, calculate the sample standard deviation for this data set. Answer choices are rounded to the hundredths place. 33.00 14.20 37.00 16.39

16.39

A workplace gave an "Employee Culture Survey" in which 500 employees rated their agreement with the statement, "I feel respected by those I work for." RatingFrequencyStrongly Agree156Agree114Neutral99Disagree88Strongly Disagree43 The relative frequency of people who strongly agree with the statement is __________. 16% 31.2% 54% 8.6%

31.2%

Stan is looking at the statistics for his favorite baseball player, who has hit 25, 26, 32, 38, 43, 40, 28, 32, 34, and 42 home runs in ten seasons. What is the median in this data set? 36 34 32 33

33

In a poll of 216 voters, 134 said they would vote for the candidate from Party X, 52 said they would vote for the candidate from Party Y, and 30 said they would vote for the candidate from Party Z. If a pie chart were to be made showing the support for each candidate, the smallest central angle would be ________ degrees. 52 30 50 87

50

The third quartile (Q3) value from the above box plot is __________. 40 33 70 52

52

Joe is playing a game in which he has to roll two six-sided dice. In his past ten rolls, he has rolled a sum of one 2, two 5s, three 7s, two 8s, one 10, and one 12. The weighted mean of all of Joe's dice rolls is __________. 7.5 7.3 6.8 7.1

7.1

Jenova has scored ten standardized tests with scores of 65, 88, 46, 72, 77, 90, 95, 59, 66, and 83. The standardized test score that represents the sixtieth percentile is __________. 65 59 77 66

77

The data below shows the number of text messages received by a group of students in a day How many students received 10 to 13 messages? 9 4 6 5

9

Rick is an engineer testing the stress required to break samples of steel. He measured the failure stress of 50 samples and found the mean failure stress to be 350 MPa, with a standard deviation of 25 MPa. If the distribution is normal, the percentage of the data that lies within two standard deviations of the mean is approximately __________. 68% 5% 95% 99.7%

95%

An outlier is which of the following? A value in a data set that is the highest or lowest of the values in the data set Any value in a data set that is larger than twice the mean value A value in a data set that is significantly higher or lower than most of the values in the data set A value in a data set that is only significantly lower than most of the values in the data set

A value in a data set that is significantly higher or lower than most of the values in the data set

The following box-and-whisker plot shows the test scores for students in a math course. According to this box-and-whisker plot, the third quartile (Q3) value is __________. A.) 23 B.) 15 C.) 35 D.) 11

A.) 23

A student has an average of 85% on the unit tests, 83% on the final test, 89% on the class project, and 91% on homework submissions.If the unit tests count for 30% of the final grade, the final test counts for 40%, the class project counts for 20%, and homework submissions count for 10%, what is the weighted average grade of the student? A.) 85.6% B.) 87.65% C.) 85.75% D.) 84.3%

A.) 85.6%

The given data shows monthly cell phone bills for the last year.$71, $66, $81, $53, $64, $71, $68, $45, $50, $61, $63, $75Select the option that shows the correct mean, median, and mode. A.) Mean: $64Median: $65Mode: $71 B.) Mean: $63Median: $64Mode: $81 C.) Mean: $64Median: $66Mode: $71 D.) Mean: $63Median: $69.5Mode: $81

A.) Mean: $64Median: $65Mode: $71

The given data lists the number of minutes it took an individual to swim the length of the pool in 10 separate attempts:2.8, 2.5, 2.6, 2.8, 2.5, 2.6, 2.6, 2.4, 2.5, 2.7Select the option that shows the correct mean, median, and mode. A.) Mean: 2.6Median: 2.6Mode: 2.5 and 2.6 B.) Mean: 2.6Median: 2.55Mode: 2.5 C.) Mean: 2.5Median: 2.6Mode: 2.8 D.) Mean: 2.6Median: 2.6Mode: 2.6

A.) Mean: 2.6Median: 2.6Mode: 2.5 and 2.6

The sales data from the past two months of a frozen yogurt shop are approximately normal. The mean daily sales for the first month were $200, with a standard deviation of $30. On the 15th of the first month, the shop sold $245 of yogurt. The mean daily sales for the second month were $220, with a standard deviation of $50. On the 15th of the second month, the shop sold $270 of yogurt.Which month had a higher z-score for sales on the 15th, and what is the value of that z-score? A.) The first month, with a z-score of 1.5 B.) The second month, with a score of 1.67 C.) The second month, with a z-score of 1 D.) The first month, with a score of 0.9

A.) The first month, with a z-score of 1.5

If repeated independent samples of yogurt sales were taken, according to the central limit theorem, the mean of those repeated samples would tend to be normally distributed if the sample size is large enough. The histogram for the yogurt sales is shown here. Select the reason why the central limit theorem can be applied. A.) The samples are large enough, independently drawn, and done repeatedly. B.)The data distribution is skewed positively. C.)The sample size features 50 or more observations. D.)The data distribution is skewed negatively.

A.) The samples are large enough, independently drawn, and done repeatedly.

The bar graph below shows the profits made by the industry over the years. Based on the graph, Richard claims that the profits made in 2008 are four times the profits made in 2006.Which statement explains why the graph is misleading? A.) The vertical scale made the bar of 2006 appear to be a fourth of the size of 2008. B.) The scale of intervals on the horizontal axis is inconsistent. C.) The vertical axis should be in terms of net sales instead of profits. D.) The horizontal axis should be in terms of months instead of years.

A.) The vertical scale made the bar of 2006 appear to be a fourth of the size of 2008.

Consider the following data set that has a mean of 4: 2, 3, 4, 4, 7 Using the equation below or the standard deviation for a sample formula in Excel, calculate the standard deviation for this data set. Answer choices are rounded to the hundredths place. s equals square root of fraction numerator 1 over denominator n minus 1 end fraction sum from i equals 1 to n of open parentheses X subscript i minus X with bar on top close parentheses squared end root A.) 1.87 B.) 2.12 C.) 1.67 D.) 3.51

A.) 1.87

f repeated samples of yogurt sales were taken, according to the central limit theorem, the mean of those repeated samples would tend to be normally distributed if the sample size is large enough.For most distributions, a sample size of __________ or more satisfies the requirements of the central limit theorem. A.)30 B.)35 C.)25 D.)40

A.)30

Using the number of minutes per call in last month's cell phone bill, Alex calculated the upper quartile to be 24 minutes and the lower quartile to be 10 minutes.Any value greater than __________ minutes is an outlier. A.)45 B.)34 C.)24 D.)38

A.)45

At a nearby frozen yogurt shop, the mean cost of a pint of frozen yogurt is $1.50, with a standard deviation of $0.10.Assuming the data is normally distributed, approximately what percent of customers are willing to pay between $1.30 and $1.70 for a pint of frozen yogurt? A.)95% B.)68% C.)99.7% D.)34%

A.)95%

Choose the term that is a number that describes the middle of a data set. A.)Center B.)Shape C.)Spread D.)Outlier

A.)Center

The following histogram represents quiz scores and uses the following interval bins: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, and 36-40. Select the true statement for this histogram. A.)The quiz score bin interval 11-15 contains the most students, while bin interval 36-40 contains the fewest. B.)The quiz score bin interval 6-10 contains the most students, while bin interval 26-30 contains the fewest. C.)The quiz score bin interval 16-20 contains the most students, while bin interval 1-5 contains the fewest. D.)The quiz score bin interval 36-40 contains the most students, while bin interval 1-5 contains the fewest.

A.)The quiz score bin interval 11-15 contains the most students, while bin interval 36-40 contains the fewest.

Which term describes the characteristic of each member of a population? A.)Variable B.)Distribution C.)Frequency D.)Data set

A.)Variable

The following table shows the types of homes in which residents were living in 2018. 2018 Housing DataType of HomeFrequencySingle-Family Detached2912Single-Family Attached738Small Apartment Building2077Large Apartment Building1760Mobile Home289Other224 To accurately display the single-family detached home category on a pie chart, an angle that is approximately __________ would need to be created. A.) 94 degrees B.) 131 degrees C.) 13 degrees D.) 79 degrees

B.) 131 degrees

The following box-and-whisker plots show the ages of the players on two different basketball teams (A and B) during a particular season. What is the first quartile (Q1) value for Team A? A.) 25 B.) 21 C.) 20 D.) 30

B.) 21

The following box-and-whisker plots show the ages of the players of two baseball teams (A and B) during a particular season. What is the third quartile (Q3) value for Team A? A.) 21 B.) 28.5 C.) 36 D.) 25

B.) 28.5

The following histogram represents quiz scores and uses the following interval bins: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, and 36-40. For students who earned a score of 20 or lower on the quiz, the cumulative frequency is __________, and the relative cumulative frequency is __________. A.) 29; 58% B.) 38; 76% C.) 9; 18% D.) 16; 32%

B.) 38; 76%

The following table shows the types of homes in which residents were living in 2015. 2015 Housing DataType of HomeFrequencySingle-Family Detached2330Single-Family Attached590Small Apartment Building1662Large Apartment Building1408Mobile Home231Other179 To accurately display the large apartment building category on a pie chart, an angle that is approximately __________ would need to be created. A.) 94 degrees B.) 79 degrees C.) 131 degrees D.) 13 degrees

B.) 79 degrees

A student has an average of 84% on the unit tests, 85% on the final test, 90% on the class project, and 92% on homework submissions.If the unit tests count for 25% of the final grade, the final test counts for 40%, the class project counts for 15%, and homework submissions count for 20%, what is the weighted average grade of the student? A.) 84.5% B.) 86.9% C.) 87.3% D.) 88%

B.) 86.9%

The sales data for July and August of a frozen yogurt shop are approximately normal. The mean daily sales for July were $270, with a standard deviation of $30. On the 15th of July, the shop sold $315 of yogurt. The mean daily sales for August were $250, with a standard deviation of $25. On the 15th of August, the shop sold $300 of yogurt.Which month had a higher z-score for sales on the 15th, and what is the value of that z-score? A.) July, with a z-score of 1.5 B.) August, with a z-score of 2 C.) July, with a z-score of 1.8 D.) August, with a z-score of 1.67

B.) August, with a z-score of 2

There are 10 bags containing tickets numbered 1 to 20. Ten students draw a ticket from each bag. One student drew tickets with the following numbers:5, 8, 18, 1, 14, 6, 8, 13, 8, 19Select the option that shows the correct mean, median, and mode. A.) Mean: 12Median: 8Mode: 19 B.) Mean: 10Median: 8Mode: 8 C.) Mean: 8Median: 8.5Mode: 8 D.) Mean: 10Median: 8Mode: 19

B.) Mean: 10Median: 8Mode: 8

Allison collected a sample of security deposits and recorded the following numbers:$400, $425, $450, $500, $500, $650, $675, $700, $1000If Allison drops (removes) the unusually high security deposit of $1000 from the data set, which of the following would NOT be affected? New set:$400, $425, $450, $500, $500, $650, $675, $700 A.) The average security deposit B.) The median security deposit C.) The spread of the security deposits D.) The highest security deposit

B.) The median security deposit

The graph below shows two different types of plans published by a cell phone company. Ryan claims that the cost of Plan A and plan B differ a lot.Which statement best explains why Ryan was misled by the graph? A.) The graph of Plan B shows a rapid increase in price. B.) The scale of intervals on the vertical axis is inconsistent. C.) The graph of Plan A shows a gradual increase in price. D.) The scale of intervals on the horizontal axis is inconsistent.

B.) The scale of intervals on the vertical axis is inconsistent.

Olivia decided to look at utility costs for each of her potential new homes. As she graphed the data, she noticed there was a tail on the right side of the graph.Which of the following statements is a characteristic of Olivia's graph? A.) The data in Olivia's graph is distributed uniformly. B.) The tail in Olivia's graph is situated to the right of the median. C.) The data in Olivia's graph is distributed symmetrically. D.) Olivia's graph is negatively skewed.

B.) The tail in Olivia's graph is situated to the right of the median.

Which of the following data sets would have the lowest measure of variation? A.) {-10, -5, 0, 5, 10} B.) {100, 100, 100, 100, 100} C.) {200, 400, 600, 800, 1000} D.) {-100, -90, -80, -70, -60}

B.) {100, 100, 100, 100, 100}

Using the number of minutes per call in last month's cell phone bill, David calculated the upper quartile to be 19 minutes and the lower quartile to be 12 minutes.Any value greater than __________ minutes is an outlier. A.)10.5 B.)29.5 C.)26 D.)19

B.)29.5

Using the number of minutes per call in last month's cell phone bill, Eddie calculated the upper quartile to be 23 minutes and the lower quartile to be 15 minutes.Any value less than __________ minutes is an outlier. A.)8 B.)3 C.)5 D.)12

B.)3

Which of these statements is FALSE? A.)The distribution describes what values the variables take and how often they take those values. B.)A data set is a characteristic of an individual member of the population that can be measured. C.)The distribution can be summarized by a frequency table. D.) A data set is a list of numbers that is associated with a given context.

B.)A data set is a characteristic of an individual member of the population that can be measured.

Select the term for a list of observations or responses associated with a particular context. A.)Frequency B.)Data set C.)Variable D.)Distribution

B.)Data set

Which of these statements about a normally distributed data set is FALSE? A.) Fifty percent of the values are smaller than the mean value. B.)It is not symmetric around the center. C.) Fifty percent of the values are greater than the mean value. D.) Mean, median, and mode are the same value.

B.)It is not symmetric around the center.

Theresa and her nine classmates took a standardized test. Their scores were: 88, 49, 92, 47, 61, 94, 94, 76, 79, 92Theresa received an 88 on the test.Which percentile is she in? A.)The 80th B.)The 60th C.)The 70th D.)The 90th

B.)The 60th

What does a small value for the measure of variation for a data set imply? A.) The data set contains many outliers. B.)The data is bunched up near the center. C.) The data is spread out far from the center. D.)The data set is normally distributed.

B.)The data is bunched up near the center.

The following histogram represents quiz scores and uses the following interval bins: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, and 36-40. Select the true statement for this histogram. A.)The quiz score bin interval 1-5 contains the most students, while bin interval 36-40 contains the fewest. B.)The quiz score bin interval 11-15 contains the most students, while bin interval 36-40 contains the fewest. C.) The quiz score bin interval 6-10 contains the most students, while bin interval 21-25 contains the fewest. D.)The quiz score bin interval 11-15 contains the most students, while bin interval 21-25 contains the fewest.

B.)The quiz score bin interval 11-15 contains the most students, while bin interval 36-40 contains the fewest.

The middle 50% of a data set is known as the __________. A.)middle quartile B.)interquartile range C.)third quartile D.)first quartile

B.)interquartile range

The graph in the figure shows the Gross Domestic Product (GDP) from 2008-2012. The segment of the graph that corresponds to almost no change in GDP is __________. A C D B

C

A student has an average of 86% on the unit tests, 85% on the final test, 90% on the class project, and 92% on homework submissions.If the unit tests count for 25% of the final grade, the final test counts for 40%, the class project counts for 15%, and homework submissions count for 20%, what is the weighted average grade of the student? A.) 88% B.) 86.4% C.) 87.4% D.) 86%

C.) 87.4%

The sales data for January and February of a frozen yogurt shop are approximately normal.The mean daily sales for January were $300, with a standard deviation of $20. On the 15th of January, the shop sold $310 of yogurt. The mean daily sales for February were $320, with a standard deviation of $50. On the 15th of February, the shop sold $340 of yogurt.Which month had a higher z-score for sales on the 15th, and what is the value of that z-score? A.) January, with a z-score of 0.2 B.) February, with a z-score of 0.4 C.) January, with a z-score of 0.5 D.) February, with a z-score of 1

C.) January, with a z-score of 0.5

Let x stand for the number of minutes spent at the mall; 100 people are sampled at a time. For the sampling distribution, the mean is 46 minutes, and the standard deviation is 0.4 minutes.What is the mean and standard deviation of the population? A.) Mean = 4.6, Standard deviation = 0.4 B.) Mean = 4.6, Standard deviation = 4 C.) Mean = 46, Standard deviation = 4 D.) Mean = 46, Standard deviation = 0.4

C.) Mean = 46, Standard deviation = 4

Let x stand for the number of calories in each individual snack; 25 snacks are sampled at a time. The population mean is 95 calories, and the population standard deviation is 2.5 calories.What is the mean and standard deviation of the sampling distribution of sample means? A.) Mean = 19, Standard deviation = 2.5 B.) Mean = 19, Standard deviation = 0.5 C.) Mean = 95, Standard deviation = 0.5 D.) Mean = 95, Standard deviation = 2.5

C.) Mean = 95, Standard deviation = 0.5

Olivia noticed that a histogram of the monthly payments for apartments in a particular neighborhood was flat and had no peaks.Which of the following statements would be a characteristic of Olivia's graph? A.) The histogram features multimodal distribution. B.) Olivia's graph is positively skewed. C.) The data in the histogram is distributed uniformly. D.) Olivia's graph is negatively skewed.

C.) The data in the histogram is distributed uniformly.

Kate collected a sample of monthly rents and recorded the following numbers:$500, $525, $550, $600, $600, $750, $775, $800, $1350If Kate drops (removes) the unusually high rent of $1350 from the data set, which of the following would NOT be affected? A.)The highest monthly rent B.)The spread of the monthly rents C.) The most frequent monthly rent D.) The average monthly rent

C.) The most frequent monthly rent

The following histogram represents quiz scores and uses the following interval bins: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, and 36-40. Select the true statement for this histogram. A.) The quiz score bin interval 11-15 contains the most students, while bin interval 36-40 contains the fewest. B.) The quiz score bin interval 36-40 contains the most students, while bin interval 26-30 contains the fewest. C.) The quiz score bin interval 11-15 contains the most students, while bin interval 26-30 contains the fewest. D.) The quiz score bin interval 1-5 contains the most students, while bin interval 36-40 contains the fewest.

C.) The quiz score bin interval 11-15 contains the most students, while bin interval 26-30 contains the fewest.

Olivia graphed the data she had collected about monthly utility costs. Her graph is below. Which of the following statements would be a characteristic of Olivia's graph? A.) The values in the graph are distributed uniformly. B.) The values in the graph are negatively skewed. C.) The values in the graph have a bimodal distribution. D.) The values in the graph are positively skewed.

C.) The values in the graph have a bimodal distribution.

The bar graph below shows the net sales of a magazine company over the years. Based on the graph, Dan claims that the net sales of magazines in 2008 are twice the net sales in 2006.Which statement explains why the graph is misleading? A.) The scale of intervals on the horizontal axis is inconsistent. B.) The horizontal axis should be in terms of months instead of years. C.) The vertical scale made the bar of 2008 look twice the bar of 2006. D.) The vertical axis should be in terms of the number of magazines instead of net sales.

C.) The vertical scale made the bar of 2008 look twice the bar of 2006.

The variance of any standard normal distribution is __________. A.)-0.5 B.)0 C.)1 D.)0.5

C.)1

The stem-and-leaf plot below shows the quiz scores of 50 students How many students scored 22 on the test? A.)7 students B.)4 students C.)1 student D.)6 students

C.)1 student

The frequency table shows the types of homes in which residents were living in 2015. 2015 Housing DataType of HomeFrequencySingle-Family Detached2330Single-Family Attached590Small Apartment Building1662Large Apartment Building1408Mobile Home231Other179 The relative frequency of residents living in mobile homes in 2015 is __________. Answer choices are rounded to the nearest percentage. A.)36% B.)23% C.)4% D.)8%

C.)4%

What percentage of data does the interquartile range represent? A.)100% B.)75% C.)50% D.)25%

C.)50%

At a nearby frozen yogurt shop, the mean cost of a pint of frozen yogurt is $1.50, with a standard deviation of $0.10.Assuming the data is normally distributed, approximately what percent of customers are willing to pay between $1.40 and $1.60 for a pint of frozen yogurt? A.)34% B.)95% C.)68% D.)99.7%

C.)68%

Alex scored ten standardized tests with scores of:84, 56, 71, 68, 94, 56, 92, 79, 85, 90Which standardized test score represents the 70th percentile? A.)90 B.)79 C.)85 D.)92

C.)85

At a nearby frozen yogurt shop, the mean cost of a pint of frozen yogurt is $1.50, with a standard deviation of $0.10.Assuming the data is normally distributed, approximately what percent of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt? A.)68% B.)34% C.)99.7% D.)95%

C.)99.7%

Which of these statements about the shape (narrowness or broadness) of a normally distributed data set is TRUE? A.)The shape of the normal curve is controlled by the mode of the data. B.)The shape of the normal curve is controlled by the median of the data. C.)The shape of the normal curve is controlled by the standard deviation of the data. D.)The shape of the normal curve is controlled by the mean of the data.

C.)The shape of the normal curve is controlled by the standard deviation of the data.

Which of these statements about a normally distributed data set is TRUE? A.)The smaller the standard deviation, the less concentrated the data will be. B.)The concentration of the data set is not related to the standard deviation. C.)The smaller the standard deviation, the more concentrated the data will be. D.)The greater the standard deviation, the more concentrated the data will be.

C.)The smaller the standard deviation, the more concentrated the data will be.

If repeated samples of yogurt sales were taken, according to the central limit theorem, the mean of those repeated samples would tend to be normally distributed if the sample size is large enough.Because the sample population is __________, it is safe to apply the central limit theorem, even if the sample size for each sample is 15. A.)positively distributed B.)uniformly distributed C.)normally distributed D.)negatively distributed

C.)normally distributed

Consider the following data set that has a mean of 8:6, 7, 9, 10Using the equation below or the standard deviation of a sample formula in Excel, calculate the standard deviation for this data set. Answer choices are rounded to the hundredths place. A.) 0.95 B.) 3.16 C.) 1.58 D.) 1.83

D.) 1.83

The time-series diagram shows the change of temperature recorded over a successive interval of time. Which segment of the graph indicates the smallest difference in the temperature? A.) 1 p.m. to 2 p.m. B.) 11 a.m. to 12 p.m. C.) 2 p.m. to 3 p.m. D.) 10 a.m. to 11 a.m.

D.) 10 a.m. to 11 a.m.

The time-series diagram shows the total distance traveled by Kelvin on his car trip. Which segment of the graph indicates no change in distance traveled? A.) 1 p.m. to 2 p.m. B.) 2 p.m. to 3 p.m. C.) 10 a.m. to 11 a.m. D.) 12 p.m. to 1 p.m.

D.) 12 p.m. to 1 p.m.

The following table shows the types of homes in which residents were living in 2010. 2010 Housing DataType of HomeFrequencySingle-Family Detached1748Single-Family Attached442Small Apartment Building1247Large Apartment Building1056Mobile Home173Other134 To accurately display the mobile home category on a pie chart, an angle that is approximately __________ would need to be created. A.) 79 degrees B.) 135 degrees C.) 94 degrees D.) 13 degrees

D.) 13 degrees

The following histogram represents quiz scores and uses the following interval bins: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, and 36-40 For students who earned a score of 21 or higher on the quiz, the cumulative frequency is __________, and the relative cumulative frequency is __________. A.) 7; 14% B.) 21; 42% C.) 10; 20% D.) 17; 34%

D.) 17; 34%

Consider the following data set with a mean of 12:9, 11, 12, 16Using the equation below or the standard deviation formula in Excel, calculate the standard deviation for this data set. Answer choices are rounded to the hundredths place. A.) 1.54 B.) 2.55 C.) 5.09 D.) 2.94

D.) 2.94

The following histogram represents quiz scores and uses the following interval bins: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, and 36-40. For students who earned a score of 15 or lower on the quiz, the cumulative frequency is __________, and the relative cumulative frequency is __________. A.) 11; 22% B.) 23; 46% C.) 16; 32% D.) 27; 54%

D.) 27; 54%

The time-series diagram shows the snowfall recorded at successive intervals of time. Which segment of the graph indicates the largest difference in the snowfall depth? A.) 4 hours to 6 hours B.) 2 hours to 4 hours C.) 6 hours to 8 hours D.) 8 hours to 10 hours

D.) 8 hours to 10 hours

Which of the following statements is true? A.) In a standard normal distribution, the mean is equal to 1, and the standard deviation is equal to 2. B.) In a standard normal distribution, the mean is equal to 0, and the standard deviation is equal to 2. C.) In a standard normal distribution, the mean is equal to 1, and the standard deviation is equal to 1. D.) In a standard normal distribution, the mean is equal to 0, and the standard deviation is equal to 1.

D.) In a standard normal distribution, the mean is equal to 0, and the standard deviation is equal to 1.

Let x stand for the sale of candy bars by an individual student; 60 students are sampled at a time. The population mean is 40 candy bars, and the population standard deviation is three candy bars.What is the mean and standard deviation of the sampling distribution of sample means (answers are rounded to the nearest tenth). A.) Mean = 40, Standard deviation = 3 B.) Mean = 5.2, Standard deviation = 0.39 C.) Mean = 5.2, Standard deviation = 3 D.) Mean = 40, Standard deviation = 0.39

D.) Mean = 40, Standard deviation = 0.39

When Mark was looking at his monthly utility payments, he noticed that one payment was significantly lower than all the others.Which of the following would be most affected by Mark's observation? A.) The highest monthly payment B.) The median monthly payment C.) The most frequent monthly payment D.) The average monthly payment

D.) The average monthly payment

The standard deviation of any standard normal distribution is __________. A.)0.5 B.)2 C.)0 D.)1

D.)1

The stem-and-leaf plot below shows the quiz scores of 50 students. How many students scored lower than 10 on the test? A.)13 students B.)15 students C.)16 students D.)12 students

D.)12 students

The frequency table shows the types of homes in which residents were living in 2018. 2018 Housing DataType of HomeFrequencySingle-Family Detached2912Single-Family Attached738Small Apartment Building2077Large Apartment Building1760Mobile Home289Other224 The relative frequency of residents living in large apartment buildings in 2018 is __________. Answer choices are rounded to the nearest percentage. A.)14% B.)70% C.)60% D.)22%

D.)22%

The frequency table shows the types of homes in which residents were living in 2010. 2010 Housing DataType of HomeFrequencySingle-Family Detached1748Single-Family Attached442Small Apartment Building1247Large Apartment Building1056Mobile Home173Other134 The relative frequency of residents living in single-family detached homes in 2010 is __________. Answer choices are rounded to the nearest percentage. A.)87% B.)23% C.)8% D.)36%

D.)36%

The lowest (Q1) and upper (Q3) quartiles in a data set are calculated.What percentage of the data lies between these two quartiles? A.)75% B.)25% C.)100% D.)50%

D.)50%

Jessica graded seven standardized tests with scores of: 50, 47, 84, 78, 49, 97, 75Which standardized test score represents the 50th percentile? A.)47 B.)50 C.)78 D.)75

D.)75

Which term below is a qualitative statement about how the data looks after it has been plotted? A.)Spread B.)Center C.)Outlier D.)Shape

D.)Shape

Which term below is a number that describes how the data is dispersed across the entire range of data? A.)Outlier B.)Center C.)Shape D.)Spread

D.)Spread

Let x stand for the percentage of an individual student's math test score. 100 students were sampled at a time. The population mean is 75 percent and the population standard deviation is 12 percent. What are the mean and standard deviation of the sampling distribution of sample means? mean = 75, standard deviation = 12 mean = 7.5, standard deviation = 12 mean = 75, standard deviation = 1.2 mean = 7.5, standard deviation = 1.2

mean = 75, standard deviation = 1.2

A number that describes how far the data is from the middle is the __________. center shape spread outlier

spread