11. Summary Statistics

11.01 Measures of central tendency

11.02 Measures of spread

11.025 Quantiles, deciles and percentiles

11.03 Box plots

11.04 Effects of outliers

11.05 Describing data distributions

11.06 Comparing data distributions

11.065 Parallel box plots

INVESTIGATION: Statistics in the media

Year 11

11.05 Describing data distributions

Interactive practice questions

State whether the scores in each histogram are positively skewed, negatively skewed or symmetrical (approximately).

a

A histogram that represents the distribution of scores. The x-axis enumerates discrete scores as individual points, while the y-axis corresponds to the frequency of each score interval. Each bar on the histogram corresponds to one of these distinct scores, with the bar's height reflecting the count or frequency of occurrences for that particular score. Most of the scores are relatively high.

Positively skewed

A

Symmetrical

B

Negatively skewed

C

b

A histogram that represents the distribution of scores. The x-axis enumerates discrete scores as individual points, while the y-axis corresponds to the frequency of each score interval. Each bar on the histogram corresponds to one of these distinct scores, with the bar's height reflecting the count or frequency of occurrences for that particular score. Approximately, as the score goes higher, the frequency goes lower.

Positively skewed

A

Negatively skewed

B

Symmetrical

C

c

A histogram that represents the distribution of scores. The x-axis enumerates discrete scores as individual points, while the y-axis corresponds to the frequency of each score interval. Each bar on the histogram corresponds to one of these distinct scores, with the bar's height reflecting the count or frequency of occurrences for that particular score. The scores have its peak approximately in the middle.

Negatively skewed

A

Symmetrical

B

Positively skewed

C

Easy

< 1min

Answer the following:

Easy

< 1min

For the Stem and Leaf plot attached:

Easy

1min

The number of hours worked per week by a group of people is represented in the following Stem and Leaf Plot:

Easy

< 1min

Outcomes

MS11-7

develops and carries out simple statistical processes to answer questions posed

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