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New Zealand
Level 6 - NCEA Level 1

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

S6-1

Plan and conduct investigations using the statistical enquiry cycle: A justifying the variables and measures used B managing sources of variation, including through the use of random sampling C identifying and communicating features in context (trends, relationships between variables, and differences within and between distributions), using multiple displays D making informal inferences about populations from sample data E justifying findings, using displays and measures.

91035

Investigate a given multivariate data set using the statistical enquiry cycle

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