Unit 8 · Test

Unit 8 test: Statistics

15 questions. Answer them all, then submit to see your score. Solutions unlock after you submit.

This test covers statistical questions, dot plots and histograms, mean, median and mode, range and interquartile range, box plots, and mean absolute deviation.

Question 1

Which question is a statistical question?

The dot plot shows how many hours 16 students practiced piano last week. It is used in the next two problems.

Hours of piano practice

Question 2

Look at the piano dot plot above. How many students practiced at least 4 hours?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 3

Look at the piano dot plot above. What is the median number of hours?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 4

The table shows the ages of the people at a swimming pool one afternoon.

Age (years)	0–9	10–19	20–29	30–39	40–49
Frequency	7	12	5	8	3

In a histogram of this data, how many people are represented by the bars for ages 30 and older?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 5

Find the mean of $18, \ 24, \ 21, \ 15, \ 27$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 6

The mean of six numbers is 10. Five of the numbers are 8, 12, 7, 10 and 11. What is the sixth number?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 7

Find the median of $31, \ 27, \ 40, \ 35, \ 22, \ 38$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 8

The number of minutes six students took to finish a puzzle were $12, \ 14, \ 15, \ 15, \ 16, \ 60$ . Which statement is true?

Question 9

Find the interquartile range of $5, \ 7, \ 8, \ 10, \ 12, \ 13, \ 15, \ 17, \ 20, \ 24$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 10

Find the range of $36, \ 29, \ 41, \ 22, \ 38, \ 30$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

The box plot shows the scores of a group of students on a science test. It is used in the next two problems.

Science test scores

Question 11

Look at the science test box plot above. What is the interquartile range?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 12

Look at the science test box plot above. About what percent of the students scored between 55 and 95?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 13

Find the mean absolute deviation of $6, \ 8, \ 11, \ 13, \ 17$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 14

Two classes recorded how many minutes they read each night. Class M has a mean of 30 minutes and a MAD of 4 minutes. Class N has a mean of 30 minutes and a MAD of 11 minutes. Which statement is best supported?

Question 15

The dot plot shows the number of goals a hockey team scored in 8 games. Find the mean absolute deviation.

Goals per game

Enter a number. Fractions like 3/4 and sqrt(2) are OK.