NZ Level 5
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Create and interpret histograms and polygons

Interactive practice questions

Data is represented in a histogram as shown:

HistogramScoreFrequency1020212325272931

Complete the following frequency table:

Score Frequency
$21$21 $\editable{}$
$23$23 $\editable{}$
$25$25 $\editable{}$
$27$27 $\editable{}$
$29$29 $\editable{}$
$31$31 $\editable{}$
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Examine the histogram given and answer the following questions.

Construct a histogram to represent the following data:

$46,47,48,48,48,47,50,47,48,50,47,46,49,49,50,49,48,47,46,50,48,51,51,50,50,47,49,48,51,49,50,51$46,47,48,48,48,47,50,47,48,50,47,46,49,49,50,49,48,47,46,50,48,51,51,50,50,47,49,48,51,49,50,51

Some people were asked approximately how many of their high school friends they remained in contact with after high school. Each approximated to the nearest 10 friends. The results are presented in the frequency distribution table:

Outcomes

S5-1

Plan and conduct surveys and experiments using the statistical enquiry cycle:– determining appropriate variables and measures;– considering sources of variation;– gathering and cleaning data;– using multiple displays, and re-categorising data to find patterns, variations, relationships, and trends in multivariate data sets;– comparing sample distributions visually, using measures of centre, spread, and proportion;– presenting a report of findings

S5-2

Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findings

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