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CanadaON
Grade 12

Create and interpret cumulative frequency polygons

Interactive practice questions

Consider the data below.

Height (cm) Frequency
$155\le h<160$155h<160 $10$10
$160\le h<165$160h<165 $20$20
$165\le h<170$165h<170 $35$35
$170\le h<175$170h<175 $20$20
$175\le h<180$175h<180 $15$15
a

Create a cumulative frequency polygon from this data.

Height (cm)Cumulative Frequency5101520253035404550556065707580859095100155160165170175
b

Estimate the median from the graph to the nearest $5$5 cm.

c

Estimate the upper and lower quartiles based off the graph.

Write both on the same line separated by a comma and to the nearest $5$5 cm.

d

Estimate the interquartile range from the answers to part (c).

Give your answer to the nearest $5$5 cm.

Easy
4 min

Consider the data below of times taken to walk to the nearest park.

Easy
3 min

Consider the cumulative frequency polygon below.

Easy
1 min

Consider the cumulative frequency polygon below.

Medium
1 min
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Outcomes

12D.D.1.3

Generate, using technology, the relevant graphical summaries of one-variable data based on the type of data provided

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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