NZ Level 5
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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
Approx 8 minutes
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Consider the data below.

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

Consider the cumulative frequency polygon below.

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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