algebra 2b - unit 6: bells and whistles

what is the mean of the data set {11, 3, 2, 7, 6, 5, 8, 6}?

6

what is the media of the data set {11, 3, 2, 7, 9, 4, 8, 2, 4, 6, 7}?

6

all of the students in mr. clarke's class took a benchmark test. when mr. clarke analyzed the students' grades, he found that they were normally distributed and that __[blank]__ of the students received grades with z-scores between −0.75 and 1.15

64.83%

what is the approximate percentage of the population that has a z-score between: a: -0.45 and 0.35? b: -0.15 and 1.35? c: -1.23 and 1.23?

a: 31.04% b: 47.11% c: 78.14%

a: what is the percentile that corresponds to a z-score of 0.0? b: what is the percentile that corresponds to a z-score of 0.35? c: what is the approximate percentage of the population that has a z-score between 0.0 and 0.35?

a: 50.00% b: 63.68% c: 13.68%

a: what is the percentile that corresponds to a z-score of 1.0? b: what is the percentile that corresponds to a z-score of 3.25? c: what is the approximate percentage of the population that has a z-score between 1.0 and 3.25?

a: 84.13% b: 99.94% c: 15.81%

two companies surveyed their employees and recorded the following averages for the amount of hours worked per week. a: which sample is most likely the smallest? b: how do you know?

a: haha pizza is most likely the smallest. b: because it has the largest standard deviation, it is most likely the smallest sample.

jackson calculated the standard deviation of all of his test scores, which follow. a: in which step did the jackson make a mistake? b: what is the standard deviation of jackson's test scores? c: if this was a sample of jackson's test scores, what would his standard deviation be?

a: he made a mistake in step 3, because he should have found the mean of the squared differences. b: 11.47 c: 12.57

two different kindergarten classes recorded their average age. data for each class appears in the following table. a: which class is most likely the smallest? b: how do you know?

a: mr. parke's class is most likely the smallest. b: this class has the largest standard deviation, so it is most likely the smallest sample.

use the box-and-whisker plot to answer the questions. a: which data set is most likely represented by the box-and-whisker plot? b: which term(s) accurately describe(s) the plot?

a: {10, 15, 20, 25, 30} b: symmetric b: uniform

mr. papadakis analyzed his students' final exam scores and found that they achieved a mean score of 76, and a standard deviation of 8. which of the following statements is/are true?

approximately 68% of the students have a score between 68 and 84 approximately 95% of the students have a score between 60 and 92 approximately 99.7% of the students have a score between 52 and 100

mr. moreno analyzed his students' final exam scores and found that they achieved a mean score of 83, and that a score of 87 is one standard deviation from the mean. which of the following statements is/are true?

approximately 68% of the students have a score between 79 and 87 approximately 95% of the students have a score between 75 and 91 approximately 99.7% of the students have a score between 71 and 95

mr. chorost analyzed his students' final exam scores and found that they achieved a mean score of 88, and that a score of 91 is one standard deviation from the mean. which of the following statements is/are true?

approximately 68% of the students have a score between 85 and 91 approximately 95% of the students have a score between 82 and 94 approximately 99.7% of the students have a score between 79 and 97

lesson 28

normal distributions

lesson 27

the shape of data

use the dot plot to answer the question. 0: • 1: • • 2: • • • 3: • • • 4: • • 5: • which term(s) accurately describe(s) the dot plot?

unimodal distribution symmetric distribution

lesson 29

what are z-scores?

caroline's grade on a recent test was between 1 and 2 standard deviations below the mean. which of the following z-scores could correspond to her grade?

-1.34

mr. malinski analyzed his students' final exam scores and found that they achieved a mean score of 65 with a standard deviation of 8. the scores were normally distributed, so 95% of the scores fell in a particular range of values around the mean. select the score(s) that fell into this range of values.

0.17 of 1 48 80

on a particular high school football team, the mean height of the players is 70 inches with a standard deviation of 2 inches. the heights are normally distributed, so 95% of the heights fall into a certain range of values around the mean. select the height(s) that fall(s) into this range of values.

0.17 of 1 77 inches 67 inches

a particular group of miniature poodles has a mean weight of 13 kg with a standard deviation of 2 kg. the weights are normally distributed, so 95% of the weights fall into a certain range of values around the mean. select the weight(s) that fall(s) into this range of values.

0.17 of 1 9.5 kg 18 kg

use the dot plot to answer the question. -4: • -2: • -1: • 0: •• 1: • • • ................... which statement(s) accurately describe(s) the data shown in the plot?

0.17 of 1 the mean is approximately 1.68 the data has a left-skewed distribution

a normally distributed data set has a mean of 34 and a standard deviation of 6. what is the approximate z-score for the data value of 35.7?

0.28

mrs. bhatti analyzed her students' final exam scores and found that they achieved a mean score of 78 with a standard deviation of 4. the scores were normally distributed, so 95% of the scores fell in a particular range of values around the mean. select the score(s) that fell into this range of values.

0.67 of 1 84 72

which stem-and-left plot represents the data set {22, 21, 15, 18, 11, 32, 30, 14, 14, 33}?

1 | 1 4 4 5 8 2 | 1 2 3 | 0 2 3

aviya's grade on a recent test was between 1 and 2 standard deviations above the mean. which of the following zz-scores could correspond to her grade?

1.54

a normally distributed data set has a mean of 78.4 and a standard deviation of 2.3. what is the approximate z-score for the data value of 82?

1.57

the following values were taken from a larger set of data. 25, 40, 42, 25, 15, 24 what is the sample standard deviation, s?

10.41

use the stem-and-leaf plot to answer the question. 0 | 1 1 3 3 5 6 7 1 | 0 3 3 6............. what is the mean of the data set?

15.6

consider the shaded region under the normal distribution curve. https://cdstools.flipswitch.com/asset/media/719147 what is the probability that a randomly chosen observation falls within the shaded region?

16%

the following values were taken from a larger set of data. 35, 45, 63, 28, 19, 24 what is the sample standard deviation, s?

16.17

a sample of heights for 10 students (in centimeters) follows. what is the mean of the sample of heights?

166.2

use the stem-and-leaf plot to answer the question. 0 | 2 2 3 4 6 1 | 0 2 3 4 6 8 8 8 9 2 | 1 2 3 6 6 8 what is the median of the data set in the plot?

17

use the stem-and-leaf plot to answer the question. 0 | 1 2 3 3 4 1 | 1 1 1 7 9 2 | 0 1 5 7 7 8 9 9 3 | 0 0 what is the mean of the data set?

17.4

use the stem-and-leaf plot to answer the question. 0 | 1 1 6 7 1 | 4 4 6 6 8 8 8 9 2 | 0 3 3 6 7 8 9 3 | 0 what is the mean of the data in the plot?

17.7

use the box-and-whisker plot to answer the question. what is the median of the data set represented by the box-and-whisker plot?

21

use the stem-and-leaf plot to answer the question. 0 | 3 4 8 9 1 | 0 3 3 7 7 ........... what is the median of the data set?

21

the sample mean of the weight of 13 terriers at a local kennel club is 26.2 pounds. which of the following weights would you expect for the population mean?

25.8 pounds

there are 30 classrooms at juniper elementary school. eight of these classrooms are chosen at random, and for these 8 classrooms, the sample mean is 32.4 students per class. which of the following class sizes would you expect for the population mean?

31.2 students

use the box-and-whisker plot to answer the question. what is the median of the data set represented by the box-and-whisker plot?

5

what is the media of the data set {2, 8, 5, 5, 7, 2, 3, 11}?

5

ten employees of the santana textile company were surveyed about their coffee consumption. the sample mean for these 10 employees was 5.6 coffee beverages per week. which of the following numbers of coffee beverages would you expect for the population mean?

5.3 drinks

consider the shaded region under the normal distribution curve. https://cdstools.flipswitch.com/asset/media/710710 what is the probability that a randomly chosen observation falls within the shaded region?

50%

sandy's score on a recent exam was 0.23 standard deviations above the mean. this means that her score was at approximately the __[blank]__ percentile.

59th

in a particular soccer league, the mean height of the players is 67 inches with a standard deviation of 3 inches. the heights are normally distributed, so 95% of the heights fall into a certain range of values around the mean. select the height(s) that fall into this range of values.

62 inches, 70 inches, 72 inches

which number, or numbers, could be considered outliers in the data set{3, 2, 4, 1, 5, 65, 4, 8, 6, 7, −12, 6}?

65, -12

mrs. zylstra analyzed her students' final exam scores and found that they achieved a mean score of 72 with a standard deviation of 9. the scores were normally distributed, so 68% of the scores fell in a particular range of values around the mean. select the score(s) that fell into this range of values.

65, 74, 80

use the box-and-whisker plot to answer the question. what is the median of the data set represented by the box-and-whisker plot?

8

consider the shaded region under the normal distribution curve. https://cdstools.flipswitch.com/asset/media/710709 what is the probability that a randomly chosen observation falls within the shaded region?

81.5%

consider the shaded region under the normal distribution curve. https://cdstools.flipswitch.com/asset/media/719145 what is the probability that a randomly chosen observation falls within the shaded region?

84.00%

yuki's score on a recent exam was 1.05 standard deviations above the mean. this means that her score was at approximately the __[blank]__ percentile.

85th

consider the shaded region under the normal distribution curve. https://cdstools.flipswitch.com/asset/media/710712 what is the probability that a randomly chosen observation falls within the shaded region?

95%

consider the shaded region under the normal distribution curve. https://cdstools.flipswitch.com/asset/media/710711 what is the probability that a randomly chosen observation falls within the shaded region?

97.35%

mr. conley analyzed his students' final exam scores and found that they achieved a mean score of 85 with a standard deviation of 7. the scores were normally distributed, so 95% of the scores fell in a particular range of values around the mean. select the score(s) that fell into this range of values.

98, 72, 84

use the box-and-whisker plot to answer the question. a: which data set is most likely represented by the box-and-whisker plot? b: which term(s) accurately describe(s) the box-and-whisker plot?

a: {2, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 14, 18} b: right skewed distribution

the age of babies in a swim class is normally distributed with a mean of 13 months old and a standard deviation of 2 months. which of the following statements is/are true?

approximately 68% of the babies are aged 11 to 15 months. approximately 95% of the babies are aged 9 to 17 months approximately 99.7% of the babies are aged 7 to 19 monts

a chocolate candy maker sells chocolates in bags. the company performs tests to find out how consistent the number of candies per bag is. after analysis, they find that the data is normally distributed with an average of 36 candies per bag and a standard deviation of 3 candies. which of the following statements is/are justified based on the data?

approximately 68% of the bags have between 33 and 39 candies. approximately 95% of the bags have between 30 and 42 candies. approximately 99.7% of the bags have between 27 and 45 candies.

the heights of players on a college basketball team are normally distributed with a mean of 71 inches and a standard deviation of 3 inches. which of the following statements is/are true?

approximately 68% of the heights are between 68 and 74 inches approximately 95% of the heights are between 65 and 77 inches approximately 99.7% of the heights are between 62 and 80 inches

a university gives a math placement exam to all incoming freshman students. the university changes the exam each year, but it performs annual analyses on the exams to help ensure that the scores are consistent for each freshman class. the test scores are normally distributed with an average score of 72% and a standard deviation of 4%. which of the following statements is/are justified based on the data?

approximately 68% of the students score between 68% and 76%. approximately 95% of the students score between 64% and 80% approximately 99.7% of the students score between 60% and 84%

mrs. goldman analyzed her students' final exam scores and found that they achieved a mean score of 78, and that a score of 84 is one standard deviation from the mean. which of the following statements is/are true?

approximately 95% of the students have a score between 66 and 90 approximately 68% of the students have a score between 72 and 84 approximately 99.7% of the students have a score between 60 and 96

treena has three 4 ft by 8 ft raised garden beds in her backyard.... which statements about the data in the plots are completely true?

bed a had the largest median weight. the data for bed a is right-skewed. bed c had neither the smallest nor the largest median weight but, it had the largest spread of weights bed b had the smallest median weight. the data for bed b is right-skewed.

use the stem-and-leaf plot to answer the question. https://cdstools.flipswitch.com/asset/media/706784 which term(s) accurately describe(s) the plot?

bimodal distribution symmetric distribution

lainey caught 12 fish, which had the following lengths in inches. 16, 17, 19, 23, 23, 24, 27, 31, 33, 40, 45, 56 _[blank 1]_ is the value of the median for the given data, and _[blank 2]_ is the value of the mean.

blank 1: 25.5 blank 2: 29.5

consider the following sample values taken from a larger set of data. 4, 9, 7, 9, 6, 11, 5, 11, 4, 5, 11, 5, 8, 3, 6, 5, 8, 11, 9, 4 the value of the median is ___blank 1___, and the value of the mean is ___blank 2__.

blank 1: 6.5 blank 2: 7.05

the average weights of two different brands of bagged candy were calculated. bags of flaming mango pieces had a standard deviation of 1.7, and bags of choco chorizo sticks had a standard deviation of 6.3 which brand most likely has a smaller sample?

choco chorizo sticks, because the standard deviation is higher

mrs. silverstein wants to compare students scores on a recent test that she gave to her three music classes. the test was out of 60 points. she records the scores in the following box-and-whisker plots. which statement(s) accurately describe(s) the data represented in the plots?

class a had the highest median score at 37. the data is right-skewed with a range of 31 even though class c does not have the highest median, it does have the largest spread of scores

mrs. brockman wants to compare student scores on a recent test that she gave her students in her three english classes. the test was out of 60 points. she records the scores in the following box-and-whisker plots. which statement(s) accurately describe(s) the data represented in the plot? select all that apply.

class a's data is symmetric class a and class b had the same median score class c had the lowest median score at 34. the range is 29

consider the following normal distribution curve, which represents the distribution of exam scores in a particular math class. https://cds.flipswitch.com/tools/asset/media/711942 the exam scores have a normal distribution with a mean of 87, and one standard deviation is 4 points from the mean.

g: 99 f: 95 e: 91 d: 87 c: 83 b: 79 a: 75

a particular set of data is normally distributed, with a mean of 84 and a standard deviation of 3. which distribution curve accurately models this situation?

https://cdstools.flipswitch.com/asset/media/719151

the average test scores for two different classes are calculated. mr. alvarez's class has a standard deviation of 2.3, and mr. diaz's class has a standard deviation of 7.8 which class is most likely smaller?

mr. diaz's class is most likely smaller, because the standard deviation is higher.

based on the data in the two tables, what is the difference in the mean scores of mrs. patel's class and mrs. anand's class?

mrs. patel's class average is 0.55 points above mrs. anand's class average.

use dot plots a and b to answer the question. plot a: -1, 0, 1, 2, 3, 3, 4, 4, 4, 5, 5 plot b: -2, -2, -1, 0, 1, 2, 3, 3, 3, 4, 5, 7 which comparison of plot a and plot b is accurate?

plot a has a higher median value than plot b

use dot plots a and b to answer the question. plot a: -2, -1, 1, 1, 2, 2, 2, 3, 3, 4 plot b: -7, -3, -2, -1, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4 which comparison of plot a and plot b is accurate?

plot b has a lower minimum, but the plots have the same maximum

use dot plots a and b to answer the question. which comparisons of plot a and plot b are accurate?

plot b is left-skewed, and plot a is symmetric plot b has a lower minimum and a lower median than plot a plot a and plot b both have one peak

the following tables show the shoe sizes of a sample of middle-school students from roosevelt middle school. based on the data in the two tables, what is the difference in the mean shoe sizes between the boys and the girls?

the boys have an average shoe size that is approximately 1.1 sizes larger than the girls'.

mrs. hitchcock gave a test to each of her two classes and calculated the averages. her theater class has a standard deviation of 18.7, and her british literature class has a standard deviation of 1.2 which class most likely larger? why?

the british literature class, because the standard deviation is lower

lesson 26

the center and spread of data

for a particular data set, the mean is 156.3, the median is 161, and the standard deviation is 6. which statement most accurately describes the data set? how do you know?

the data appears to be normally distributed because the median is relatively close to the mean; the median is less than one standard deviation from the mean.

for a particular data set, the mean is 23.4, the median is 23, and the standard deviation is 2.1 which statement most accurately describes the data set? How do you know?

the data appears to be normally distributed because the median is relatively close to the mean; the median is less than one standard deviation from the mean.

for a particular data set, the mean is 78.2, the median is 77, and the standard deviation is 2. which statement most accurately describes the data set? how do you know?

the data appears to be normally distributed because the median is relatively close to the mean; the median is less than one standard deviation from the mean.

a test has a mean score of 78, a median of 60, and a standard deviation of 5. the instructor who gave the test concludes that 95% of the data in the set must have a value between 68 and 88. what flaw, if any, is there in the instructor's reasoning?

the data does not appear normally distributed, so the instructor can't use the 68−95−99.7 rule. with a standard deviation so large, and a median so different from the mean, it's likely that the data is not normally distributed.

for a particular data set, the mean is 48, the median is 23, and the standard deviation is 2.1 which statement most accurately describes the data set? How do you know?

the data does not appear to be normally distributed because the median is more than one standard deviation from the mean, despite a relatively large standard deviation.

for a particular data set, the mean is 65.2, the median is 43, and the standard deviation is 13. which statement most accurately describes the data set? How do you know?

the data does not appear to be normally distributed because the median is so different from the mean, and the standard deviation is so large.

for a particular data set, the mean is 76, the median is 45, and the standard deviation is 16. which statement most accurately describes the data set? How do you know?

the data does not appear to be normally distributed because the median is so different from the mean, and the standard deviation is so large.

for a particular data set, the mean is 84, the median is 34, and the standard deviation is 14. which statement most accurately describes the data set? How do you know?

the data does not appear to be normally distributed because the median is so different from the mean, and the standard deviation is so large.

a quality inspector calculates the average weights of bags of candy at a factory. bags filled by the day shift have a standard deviation of 0.12 ounces, and bags filled by the night shift have a standard deviation of 0.96 ounces. for which group did the quality inspector most likely collect a larger sample? why?

the day shift, because the standard deviation is lower

use the stem-and-leaf plot to answer the question. which statement(s) accurately describe(s) the data shown in the plot? select all that apply.

the mean is 15.85 the standard deviation is approximately 8.91

use the box-and-whisker plot to answer the question. which statement(s) accurately describe(s) the data shown in the plot?

the median is 11 the interquartile range is 7 the distribution is right-skewed

use the box-and-whisker plot to answer the question. which statements about the data in the plot are true?

the median is 14 the data is left-skewed the interquartile range is 6

use the box-and-whisker plot to answer the question. which statement(s) accurately describe(s) the data shown in the plot?

the median is 18 the interquartile range is 7 the distribution is left-skewed

use the box-and-whisker plot to answer the question. which statement(s) accurately describe(s) the box-and-whisker plot? select all that apply.

the median of the data is 36 the maximum value in the data set is 67

use the box-and-whisker plot to answer the question. which statement(s) accurately describe(s) the data shown in the plot? select all that apply.

the range is 14 the median is 15 the interquartile range is 10

a sample of more than 10,000 terrier dogs is pulled from the records of hundreds of veterinarian clinics and shelters throughout the country. the sample mean lifespan of the terrier dogs is 14.3 years. which statement is most likely to be true?

the sample mean of 14.3 should be close to the population mean.

the mean score for a standardized math test is 78.4% for a certain population. one analyst in the company randomly pulled 40 scores from their database to analyze. another pulled 24 scores. which sample size would you expect to have an average closest to the population mean?

the sample size of 40 will be closer, because it is the larger sample.

a sample of the heights of 16-year-old female students is taken from two high schools. a sample of 9 heights are collected at east high school, and a sample of 52 heights are collected at west high school. which sample size would most likely give an average closest to the population mean?

the sample size of 52 would most likely give an average closest to the population mean because it is the larger sample size.

below is the data for ages of students in two different high school assemblies. based on the data in the two tables, what is the difference, if any, in the mean ages in the morning and afternoon assemblies?

the students in the afternoon assembly have an average 0.6 years older than the students in the morning assembly.

a data set has a mean of 135, a median of 137, and a standard deviation of 13. marrion concludes that 99.7% of the data in the set must have values between 96 and 174. what flaw, if any, is there in marrion's reasoning?

there is no flaw in marrion's reasoning. he calculated three standard deviations from the mean correctly to find the values 96 and 174. then he used the 68−95−99.7 rule to determine that approximately 99.7% of the data is in that range.

use the back-to-back stem-and-leaf plots of treatments a and b to answer the question. which comparisons of treatment a and treatment b are accurate?

treatment a and treatment b both have one peak treatment a and treatment b have the same minimum and the same maximum

a researcher wants to know whether a new treatment is more effective than a previous one. a study, which also contains a placebo, is conducted, and the researcher plots the participant data in the following box-and-whisker plots. which statement(s) accurately describe(s) the data shown in the plots?

treatment a and treatment b have the same median score of 40 treatment c has the smallest median value, 27, but the largest range of values, 49 treatment b has the smallest range of values

examine the back-to-back stem-and-leaf plot of treatment a and treatment b, and then answer the question. which statement(s) accurately describe(s) the data shown in the plot?

treatment a has a lower maximum, but a higher minimum than treatment b

use the box-and-whisker plot to answer the question. https://cdstools.flipswitch.com/asset/media/706773 which term(s) accurately describe(s) the box-and-whisker plot?

uniform distribution symmetric distribution

use the stem-and-leaf plot to answer the question. 1 | 0 1 2 3 4 5 6 7 8 9 2 | 0 1 2 3 4 5 6 7 8 9 which term(s) accurately describe(s) the plot?

uniform distribution symmetric distribution

use the dot plot to answer the question. 1 - • 2 - •• 3 - ••• 4 - ••• 5 - •• 6 - • which term(s) accurately describe(s) the plot?

unimodal right-skewed

use the stem-and-leaf plot to answer the question. 1 | 1 2 2 3 4 5 8 2 | 3 4 6 7 3 | 3 5 4 | 4 key : 3|1 means 31| which term(s) accurately describe(s) this plot?

unimodal right-skewed

use the dot plot to answer the question. https://cdstools.flipswitch.com/asset/media/706774 which term(s) accurately describe(s) the plot?

unimodal distribution left-skewed distribution

consider the following normal distribution curve, which represents the distribution of quiz scores in a particular math class. https://cdstools.flipswitch.com/asset/media/711944 the quiz scores have a normal distribution with a mean of 8, and one standard deviation is 1.81 points from the mean.

w: 13.43 v: 11.62 u: 9.81 t: 8 s: 6.19 r: 4.38 q: 2.57