Statistics

UK Secondary (7-11)

Create and interpret cumulative frequency polygons

Answer the following questions from the frequency histogram below.

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.

c

Construct an ogive from this data.

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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