6th grade statistics and probability

Question 1

The histogram shows the heights (cm) of a group of teenagers. How many are at least 150 cm tall?

Answer 

Question 2

The histogram shows how many hours per week students spend on sport. What fraction of the students are in the 15–19 hours group? Give a fraction in simplest form.

Answer (as a fraction)

Question 3

Chloe has taken 5 tests. The scores of the first 4 are 77, 81, 78, 64. The mean of all 5 is 73. What did Chloe score on the last test?

Answer 

Question 4

Data (minutes of screen time): 172, 34, 108, 40, 123. Find the mean.

Answer 

Question 5

Find the interquartile range (IQR) of: 10, 30, 31, 50, 22, 52, 58, 33, 42, 49

Answer 

Question 6

Four runners' 100 m times in seconds: 11, 15, 12.9, 15.6. Find the mean time.

Answer 

Question 7

Find the median: 12, 16, 31, 16, 10, 20

Answer 

Question 8

Is this a statistical question? “What time does the library open on Monday?”

• A. Yes
• B. No

Question 9

Find the median of: 13, 10, 19, 26, 5

Answer 

Question 10

The plot shows how many books each student read last month. How many students read 2 or more books?

Answer 

Question 11

Find the upper quartile (Q3) of: 41, 33, 44, 32, 27, 40, 47

Answer 

Question 12

Find the mode of: 12, 2, 2, 1, 13, 17

Answer 

Question 13

Which question is a statistical question?

• A. What time does the library open on Monday?
• B. How many pages are in my maths textbook?
• C. What were the daily high temperatures in our town last month?
• D. How many legs does a spider have?

Question 14

Kofi's scores: 9, 11, 13, 11. Luis's scores: 5, 17, 11, 11. Both have mean 11. Whose scores are more consistent (smaller MAD)?

• A. Kofi
• B. Luis

Question 15

Find the mean of: 9, 5, 6, 6, 5, 7, 4

Answer 

Question 16

The mean of 9, 3, 5, 3 is 5. Find the mean absolute deviation.

Answer