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7.06 Describe distributions

Interactive practice questions

The table shows the number of crime novels in a bookshop for different price ranges.

Price of crime novel to nearest $\$5$$5 Frequency
$5$5 $5$5
$10$10 $10$10
$15$15 $17$17
$20$20 $8$8
$25$25 $17$17
$30$30 $10$10
$35$35 $5$5
a

Plot this data as a histogram.

Novel GenresPrice Frequency51015205101520253035
b

Which of the following best describes the data in the graph and table?

Symmetrical

A

Right skewed

B

Left skewed

C

Uniform distribution

D
Easy
1min

Which words from the options below accurately describe the shape of the graph shown?

Easy
< 1min

Which words accurately describe the shape of the graph?

Easy
< 1min

What type of skew is shown in the graph below?

Easy
< 1min
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Outcomes

2.3.1.6

describe the graphical displays in terms of the number of modes, shape (symmetric versus positively or negatively skewed), measures of centre and spread, and outliers and interpret this information in the context of the data

2.3.2.1

construct and use parallel box plots (including the use of the Q1 − 1.5 × IQR ≤ 𝑥 ≤ Q3 + 1.5 × IQR criteria for identifying possible outliers) to compare datasets in terms of median, spread (IQR and range) and outliers to interpret and communicate the differences observed in the context of the data

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