Measures of Center
Measures of Spread
Box Plots
Bar Graphs & Histograms
Frequency Tables & Collecting Data
100

In a survey, a soft drink company asks people to name as many brands of soft drinks as they can. Which measure gives the most frequently mentioned brand?

mode

100

Jose is recording the percentages he earned on each quiz in his math class. Here are his results for the last 7 quizzes. 

78, 80, 86, 82, 78, 67, 81

Find the range of the data set.

19

(86 - 67)

100

Each day, for several weeks, a food bank recorded the number of people it served. The boxplot summarizes the data. What is the upper quartile (Q3)?

116

100

How many types of devices had fewer than 5 repairs?

1 (telephone)

100

A scientist wants to find the average mass of fish living in a large pond. So she will use the masses of a sample of fish from the pond to find the average mass. 

Randomly pick 25 fish from the entire pond and weigh each of them.

200

The following list gives the number of pets for each of 12 students. 

3, 3, 3, 4, 0, 0, 4, 2, 3, 4, 4, 2, 3

Find the mode(s) of this data set.

3

200

We can tell by the IQR that the middle half of the data set is 3 units wide.

200

What is the interquartile range (IQR) of the boxplot shown below?

18

(116 - 98)

200

Which type of device was repaired the most often, and how many repairs were made on that device?

computer - 7 repairs

200

Austin wants to find the average time it takes Lincoln High School students to run a lap around the track. So he will consider 55 students to find the average time.

 

Randomly pick 55 students to run a lap around the track and measure their times.

300

The numbers of trading cards owned by middle-school students are given below. 

397, 422, 434, 438, 446, 479, 521, 535, 588, 600

Suppose that the number 600 from this list changes to 440. Describe how this would affect the mean and median.

mean would decrease

median would decrease

300

Scott records the number of students in a variety of classes at his school. 

20, 23, 23, 24, 26, 28, 30, 31

Suppose that the class with 30 students changes to 26 students. What happens to the range? 

It stays the same (31 - 20)

300

Two history classes with the same number of students took a final exam. The boxplots summarize the test scores for each class. True or False: 75% of the scores from Class B are below the lower quarter (Q1) of Class A.

True

300

How many more repairs were made on computers than telephones?

(7-3)

300

Given the data in the table, what is the relative frequency of people in the sample whose place of residence is rural and whose highest degree is a four-year degree? (Round your answer to 2 decimal places.)

11.88%

400

Heather is participating in a 6-day cross-country biking challenge. She biked for 65, 70, 58, 49, and 50 miles on the first five days. How many miles does she need to bike on the last day so that her average is 59 miles per day?

62

400

Susan records her most recent bowling scores. 

110, 125, 135, 150, 152, 154, 180, 190, 230

Suppose that the score of points changes to points. What happens to the IQR?

The IQR increases by 25 points

400

Two history classes with the same number of students took a final exam. The boxplots summarize the test scores for each class. Which class had test scores with a larger interquartile range (IQR)? 

They're the same

400

A fishing tournament was held last year at The Fishing Academy. The organizer recorded the weight of each of the 28 fish caught. Select the graph that best fits the summary values.

Graph 2 (mean & median are equal)

400

Given the data in the table, what percentage of the students who have a curfew have chores?

24%

500

The "average" fish (in lb) was about 18, based on the mean and median.

500

The following are all quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale. 

8, 10, 7, 9, 6

Find the standard deviation. Round your answer to two decimal places.

1.41

500

Here are yesterday's high temperatures (in Fahrenheit) in 17 U.S. cities. 

48, 52, 53, 54, 54, 56, 57, 59, 65, 66, 67, 69, 71, 72, 74, 76, 77. 

Make a box-and-whisker plot for the data.

500

Construct a histogram for the data.

500

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