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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

ACMGM029

with the aid of an appropriate graphical display (chosen from dot plot, stem plot, bar chart or histogram), describe the distribution of a numerical dataset in terms of modality (uni or multimodal), shape (symmetric versus positively or negatively skewed), location and spread and outliers, and interpret this information in the context of the data

ACMGM030

determine the mean and standard deviation of a dataset and use these statistics as measures of location and spread of a data distribution, being aware of their limitations

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