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CanadaON
Grade 12

Shape of data

Interactive practice questions

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

a
ScoreFrequency510891011121314151617
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
ScoreFrequency510891011121314151617
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
ScoreFrequency510891011121314151617
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
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Outcomes

12D.D.1.5

Interpret statistical summaries to describe the characteristics of a one-variable data set and to compare two related one-variable data sets; describe how statistical summaries can be used to misrepresent one-variable data; and make inferences, and make and justify conclusions, from statistical summaries of one-variable data orally and in writing, using convincing arguments

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