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Create and interpret cumulative frequency polygons

Interactive practice questions

Answer the following questions from the frequency histogram below.

ValueFrequency51023262932353841

a

Complete the table of the frequency distribution.

Class limits Midpoint Frequency Cumulative Frequency
$\left(21.5,24.5\right)$(21.5,24.5) $23$23 $\editable{}$ $\editable{}$
$\left(24.5,27.5\right)$(24.5,27.5) $26$26 $\editable{}$ $\editable{}$
$\left(27.5,30.5\right)$(27.5,30.5) $29$29 $\editable{}$ $\editable{}$
$\left(30.5,33.5\right)$(30.5,33.5) $32$32 $\editable{}$ $\editable{}$
$\left(33.5,36.5\right)$(33.5,36.5) $35$35 $\editable{}$ $\editable{}$
$\left(36.5,39.5\right)$(36.5,39.5) $38$38 $\editable{}$ $\editable{}$
$\left(39.5,42.5\right)$(39.5,42.5) $41$41 $\editable{}$ $\editable{}$
b

Construct a frequency polygon from this data.

ValueFrequency51023262932353841
c

Construct an ogive from this data.

ValueFrequency5101520253023262932353841
d

How many values are in the class $27.5$27.5 to $30.5$30.5?

e

How many values fall between $24.5$24.5 and $36.5$36.5?

f

How many values are below $33.5$33.5?

g

How many values are above $30.5$30.5?

Easy
7min

Consider the data below.

Easy
4min

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

Easy
3min

Consider the cumulative frequency polygon below.

Easy
1min
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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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