Questions and Data
Mean, Median, Mode, Range
MAD and IQR
Box Plots
Dot Plots and Histograms
100

Would the following question have a data set that is numerical data or categorical data?

"What colors are your binders?"

Categorical Data

100

Find the mean, median, mode, and range of the data set:

10, 13, 14, 19, 20, 27, 30

Mean: 19      Median: 19

Mode: none      Range: 20

100

Find the mean absolute deviation of the data set. Round to the nearest tenth, if necessary.

19, 20, 14, 12, 15, 22

MAD = 3.3

100

Each section of a box plot represents what percent of the data?

25%

100

The dot plot shows how many books the students read over the summer.

How many students were surveyed?

30 students

200

Would the following question have a data set that is numerical data or categorical data?

"How many papers do you have in your binder?"

Numerical Data

200

Find the mean, median, mode, and range of the data set:

26, 34, 46, 47, 47, 49, 59, 61, 72

Mean: 49      Median: 47

Mode: 47      Range: 46

200

Find the interquartile range of the data set:

7, 9, 10, 10, 12, 15, 17, 24, 25, 27, 32

IQR = 15

200

What is the five number summary on this box plot?

Minimum = 1      Lower Quartile = 5

Median = 6      Upper Quartile = 8

Maximum = 9

200

The dot plot shows how many books the students read over the summer.

How many total books did the students read?

159 books

300

Is the following question a statistical question?

"How notebooks do each of your classmates have?"

Yes, statistical

300

Find the mean, median, mode, and range of the data set:

38, 22, 58, 19, 20, 29, 38, 58, 52, 44, 18

Mean: 36      Median: 38

Mode: 38, 58      Range: 40

300

Find the mean absolute deviation of the data set. Round to the nearest tenth, if necessary.

8, 12, 15, 4, 7, 0, 20, 30, 28, 36

MAD = 10

300

What is the five number summary on this box plot?

Minimum = 3.5      Lower Quartile = 5.5

Median = 7.5      Upper Quartile = 9.5

Maximum = 11.5

300

The dot plot shows how many books the students read over the summer.

What is the median number of books?

5 books

400

Is the following question a statistical question?

"Which grade has the most spirit points?"

No, not statistical

400

Find the mean, median, mode, and range of the data set:

103, 105, 99, 134, 99, 98, 101, 112

Mean: 106.375      Median: 102

Mode: 99      Range: 36

400

Find the interquartile range of the data set:

57, 17, 18, 35, 20, 27, 43, 45, 10

IQR = 26.5

400

The box plot represents the number of times that students have purchased lunch so far this year.

a) What is the least amount of times that a student has purchased lunch?

b) What is the most amount of times that a student has purchased lunch?

a) 24 times

b) 34 times

400

The histogram shows the ratings that a group of movie critics gave for a new movie.

How many critics gave a rating?

30 critics

500

Is the following question a statistical question?

"Who was the first president of the United States?"

No, not statistical

500

Find the mean, median, mode, and range of the data set:

77, 64, 98, 34, 12, 5, 77, 65, 90, 12, 14, 67

Mean: 51.25      Median: 64.5

Mode: 12, 77      Range: 93

500

Find the mean absolute deviation of the data set. Round to the nearest tenth, if necessary.

18, 93, 68, 13, 4, 15, 54, 55

MAD = 27.5

500

The box plot represents the number of times that students have purchased lunch so far this year.

a) What percent of the students have purchased lunch at least 31 times?

b) What percent of the students have purchased lunch no more than 27 times?

a) 50%

b) 25%

500

The histogram shows the ratings that a group of movie critics gave for a new movie.

How many critics gave the movie a rating of 6 or higher?

12 critics