topic badge

6.04 Interpreting data distributions

Adaptive
Worksheet

Interactive practice questions

What is the approximate mean of this data set?

ScoreFrequency510891011121314151617

A histogram represents the distribution of scores and their frequencies. The horizontal axis labeled "Score" ranges from $8$8 to $17$17. The vertical axis labeled "Frequency" ranges from $0$0 to $10$10. Both axes are marked at $1$1 unit intervals. The gray-shaded bars represents the frequencies of each scores.
The bar at $8$8 has a height $1$1.
The bar at $9$9 has a height $2$2.
The bar at $10$10 has a height $4$4.
The bar at $11$11 has a height $6$6.
The bar at $12$12 has a height $9$9.
The bar at $13$13 has a height $9$9.
The bar at $14$14 has a height $7$7.
The bar at $15$15 has a height $4$4.
The bar at $16$16 has a height $2$2.
The bar at $17$17 has a height $1$1.

$14.1$14.1

A

$12.5$12.5

B

$10.5$10.5

C
Medium
< 1 min

Consider the attached histogram, representing students' heights in centimeters.

Medium
< 1 min

If a die is rolled for a large number of trials, and the number appearing is noted, which histogram would you expect to match the data?

Medium
< 1 min

For a particular street in Sydney, house prices for houses sold in the last $36$36 months were (in $1000$1000's):

$920,920,709,694,667,657,630,610,584,567,555$920,920,709,694,667,657,630,610,584,567,555

Medium
< 1 min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

HSS.ID.A.1

Represent data with plots on the real number line (dot plots, histograms, and box plots).

HSS.ID.A.2

Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.

HSS.ID.A.3

Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).

What is Mathspace

About Mathspace