stats ch2

What is the minimum in the data set? 105, 88, 93, 102, 97, 93, 96, 86, 88, 82, 79, 85, 77, 94, 91, 87

77

What is a single number that summarizes an entire data set?

Center of data

The mean of an original data set is 5. After linear transformation, the mean of the data set is now 20. Which of the following equations is a possible representation of the linear transformation?

10 + 2x

Find the sample variance of the following data set: 2, 3, 4, 7, 10, 1, 2

10.48

Find the range for one standard deviation in the following data set: 16, 20, 14, 24, 16, 19, 30, and 8

12.175 to 24.575

The following data set represents the average annual temperatures for 10 European countries in 2016 (Celsius). Calculate the range. 1.75, 9.8, 7.55, 10.55, 5.8, 9.45, 19.2, 18.45, 16.2, 5.8

17.45

Find the standard deviation for the following data set: 101, 106, 125, 142, 78, and 109

19.9

What is the range of the data set below? 3, 7, 9, 11, 11, 11, 15, 17, 18, 24

21

During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the range number of medals won during these Olympic Games.

219

During the first four Summer Olympic games attended by the United States, these medal counts were awarded. If there is an outlier, identify it from the number of medals won during these Olympic Games.

239

The following data set represents the average number of children per family for 10 countries in 2014. Calculate the mean number of children per family. 5.8, 6.1, 1.9, 1.4, 2.6, 2.8, 1.3, 4.4, 4.4, 1.7

3.24

What is the variance of the data set below? 3, 7, 9, 11, 11, 11, 15, 17, 18, 24

32.84

You just took a survey asking people about their favorite class in school. After getting all the answers, you found that 10 people love English, 2 people love math, 3 people love history, and 12 love science. What is the percentage of people that love English?

37%

Find the variance for the following data set: (rounding the answer to the nearest tenth). 16, 20, 14, 24, 16, 19, 30, and 8

38.5

Find the variance for the following data set: 101, 106, 125, 142, 78, and 109

395

During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the median number of medals won during these Olympic Games.

47

During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the mode number of medals won during these Olympic Games.

47

Find the first quartile for the following data set: 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9

5

Find the maximum in the data set: 27, 26, 33, 45, 38, 38, 58, 54, 19, 22, 31

58

Find the standard deviation for the following data set: 16, 20, 14, 24, 16, 19, 30, and 8

6.2

Find the interquartile range for the following data set: 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9

6.5

how many people surveyed drive silver cars?

60

Jonathan knows he scored in the 25th percentile on his psychology test. The professor gives the students the following list of grades (without names): 51, 37, 87, 95, 99, 78, 63, 96, 68, 84, 92 Assuming that there are 11 students in the class, what was Jonathan's test score?

63

The following data set represents the minimum wage for 1990-2000. Calculate the median. (As this is money, round to two decimal places.) 8.25, 9.80, 7.25, 7.25, 8.44, 8.75, 8.44, 9.50, 9.60, 9.50

8.60

During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the mean number of medals won during these Olympic Games. (Round it to the nearest whole number.)

88

Find the second quartile, or the median, for the following data set: 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9

9

Phyllis is also in Jonathan's psychology class. She knows she scored in the 90th percentile on his psychology test. The professor gives the students the following list of grades (without names): 51, 37, 87, 95, 99, 78, 63, 96, 68, 84, 92 Assuming that there are 11 students in the class, what was Phyllis's test score?

96

All of the students in Jasmine's class have had their height measured. Jasmine is the 12th tallest person out of 560 students. What percentile is Jasmine's height in?

98th

All of the following statements are correct, EXCEPT:

An outlier is likely to skew the median more than the mean of a sample.

Find the population variance of the following data set: 11, 12, 55, 4, 17, 13, 19

Approximately 239

If a data set has two different modes, then what is it?

Bimodal

When a data set has two different modes, it is known as what type of distribution?

Bimodal

Which of the following terms best describes the distribution in the chart below?

Bimodal

From a recent survey of 60 people, we found that 10 liked to eat chocolate ice cream, 20 liked strawberry ice cream, 14 liked vanilla ice cream, and 16 liked Neopolitan ice cream. What is the percentage for each group?

Chocolate: 17% Strawberry: 33% Vanilla: 23% Neopolitan: 27%

A group of students decide to hold a staring contest. The student that can stare without blinking for the longest amount of time is the winner. Using the standard competition ranking, who scored 5th place?

Isabel

What is a measure that indicates what percent of the given population scored at or below the measure?

Percentile

Which of the following describes the best approach to finding the median of an even set of numbers?

Place numbers in ascending or descending order, calculate the average of the middle terms

All the members of a specified group are known as:

Population

James performed a survey where he asked his classmates what type of movies they liked the most. The possible answers for the survey were Comedy, Action, Drama, Horror, and Documentaries. Which of the following is a good way to analyze and represent James' data?

Drawing a bar graph

Which of the following is an example of a piece of categorical data?

Ethnicity

What is a system of ordering in which the mathematical values that are equal are given the mean of the ranking positions?

Fractional ranking

What do we call areas in a data set where no observations have been made?

Gaps

What is a graphical representation of the distribution of data?

Histogram

What is the difference between the upper quartile value and the lower quartile value?

Interquartile range

When a variable is multiplied by a constant and then added to a constant, this is known as what?

Linear transformation

What is the largest mathematical value in a data set?

Maximum

What is the sum of the numbers in a data set divided by the total number of values in the data set?

Mean

For the following data set, select the best method for summarizing the data. 3, 3, 4, 5, 2, 9, 5, 2, 3, 4

Median

What is the midpoint value of a data set, where the values are arranged in ascending or descending order?

Median

What is the smallest mathematical value in a data set?

Minimum

The value that occurs the most frequently in a data set is known as the _____.

Mode

Which of the following is least likely to be reported?

Mode

What is a system of ordering where each mathematical value is given a certain position in a sequence of numbers, where no positions are equal?

Ordinal ranking

What do we call a value that is much smaller or larger than the other values in a data set?

Outlier

What is a value that is much larger or smaller than the other values in a data set, or a value that lies outside the given data set?

Outlier

What is a group of values and/or means that divide a data set into quarters, or groups of four?

Quartile

What is the relationship between two mathematical values, where each value can be less than, greater than, or equal to the second value?

Ranking

A part of a population used to describe the whole group is known as:

Sample

You just took a survey asking people about their favorite class in school. After getting all the answers, you found that 10 people love English, 2 people love math, 3 people love history, and 12 love science. Order these subjects from most liked to least.

Science, English, History, Math

A graph that peaks to the left or the right of the center is known as _____.

Skewed

What is the measure of how far the numbers in a data set are away from the mean or the median?

Spread in data

If a data set undergoes a linear transformation with positive values of a and b, why might both the mean and the standard deviation of the data set increase?

The value of each data point is increasing, and the data is spreading out.

What is a ranking system in which the mathematical values that are equal are given equal rank and the next, lesser value is given the next highest rank?

Standard competition ranking

A statistician makes a graph, which includes a shape that's almost mirrored perfectly across a line, but not quite. How should we describe the shape?

Symmetrical

When a data set is visually symmetrical, what occurs all at the same point?

The mean, median, and mode

In the linear transformation formula, what does x represent?

The number in the data set

When a data set has a single mode, it is known to have what type of distribution?

Unimodal

How far a set of numbers are spread out is known as:

Variance

What are three methods you can use to find the spread in data?

Variance, range, and interquartile range

The equation for linear transformation is:

a + bx

Which of the following is an example of categorical data?

all of these answers are correct

The following data represents the test scores of eight students in Mr. Miller's science class. 92%, 91%, 89%, 95%, 45%, 88%, 90%, 91% The student who got a 45% is _____.

an outlier

To find the median of a set of values, what is the first thing one must do?

arrange the values in ascending or descending order

With what kind of value set does the mean provide the best representation?

data sets with numbers that are close together

You just took a survey asking people about their favorite class in school. After getting all the answers, you found that 10 people love English, 2 people love math, 3 people love history, and 12 love science. Please put this information in table form.

english 10 math 2 history 3 science 12

You just took a survey asking people about their favorite class in school. After getting all the answers, you found that 10 people love English, 2 people love math, 3 people love history, and 12 love science. What are the percentages for each class?

english 37% math 7% history 11% science45%

The best predictor of a score is the _____.

mean

According to the table, which group is the smallest? red 10 yellow 12 white 18 silver 60

red

If there are two modes, you should _____.

report both

Select the word or phrase that best fills in the blank: If the index is not a _____, round the number up, then count the values in the data set from least to greatest until you reach the index.

whole number

You have a set of numbers you are working with to provide some data. You add them all up and divide that sum by the total number of values in your set. What statistic did you just produce?

the mean

A data set contains the following numbers: 9, 1, 10, 12, 13, 15, 12, 8 Which of the following options would describe the data set best?

the median

Beth is an apartment complex manager, she wants to plan some activities for the residents that will increase a sense of community among them. She knows that age appropriate events will attract more residents. According to the rental applications, the ages of her residents are as follows: 60, 48, 26, 20, 66, 49, 22, 25, 63, 59 From this, Beth knows the mean age of her residents is 43.8. She will schedule activities that individuals in their mid-forties (43-46) will enjoy. Would finding the median of this data set be more helpful for Beth? Why?

yes; the ages of her residents are skewed from the mean, around half of the residents are much younger and around half are older than 43.8