#### Question

The heights of 50 students, measured to the nearest centimeters, have been found to be as follows:-

161 | 150 | 154 | 165 | 168 | 161 | 154 | 162 | 150 | 151 |

162 | 164 | 171 | 165 | 158 | 154 | 156 | 172 | 160 | 170 |

153 | 159 | 161 | 170 | 162 | 165 | 166 | 168 | 165 | 164 |

154 | 152 | 153 | 156 | 158 | 162 | 160 | 161 | 173 | 166 |

161 | 159 | 162 | 167 | 168 | 159 | 158 | 153 | 154 | 159 |

(i) Represent the data given above by a grouped frequency distribution table, taking the class intervals as 160 - 165, 165 - 170, etc.

(ii) What can you conclude bout their heights from the table?

#### Solution

(i) A grouped frequency distribution table has to be constructed taking class intervals 160 − 165, 165 − 170, etc. By observing the data given above, the required table can be constructed as follows.

Height (in cm) |
Number of students (frequency) |

150 − 155 | 12 |

155 − 160 | 9 |

160− 165 | 14 |

165 − 170 | 10 |

170 − 175 | 5 |

Total | 50 |

(ii) It can be concluded that more than 50% of the students are shorter than 165 cm.

Is there an error in this question or solution?

Solution The Heights of 50 Students, Measured to the Nearest Centimeters, Have Been Found to Be as Follows Concept: Presentation of Data.