Question

The following data represent the record high temperatures for 50 cities.

Temperature | 42-44 | 44-46 | 46-48 | 48-50 | 50-52 |

Number of cities | 10 | 18 | 13 | 7 | 2 |

(a) Prepare a cumulative relative frequency distribution table for
this frequency distribution.

(b) Estimate the mean record high temperature from the grouped data
(to one decimal digit).

(c) Construct two graphs: a histogram and an ogive.

(d) The actual mean (calculated using the individual, original set
of data) of the record high

temperature of these 50 cities is 44.6 oC. Explain why the
estimated mean from the grouped data (part b) is

different from the actual mean.

Answer #1

a)

temp | number of cities | cumlative | relative cummlative |

42-44 | 10 | 10 | 0.2 |

44-46 | 18 | 28 | 0.56 |

46-48 | 13 | 41 | 0.82 |

48-50 | 7 | 48 | 0.96 |

50-52 | 2 | 50 | 1 |

b)

c)

Grouped data is organised into several group.To create grouped data the raw data has been sorted into several groups and tables showing how many data points occur in each group. Hence the means differ from un-grouped data to grouped data.

................

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