#### Question

The number of books in different shelves of a library are as follows:

30, 32, 28, 24, 20, 25, 38, 37, 40, 45, 16, 20

19, 24, 27, 30, 32, 34, 35, 42, 27, 28, 19, 34,

38, 39, 42, 29, 24, 27, 22, 29, 31, 19, 27, 25

28, 23, 24, 32, 34, 18, 27, 25, 37, 31, 24, 23,

43, 32, 28, 31, 24, 23, 26, 36, 32, 29, 28, 21.

Prepare a cumulative frequency distribution table using 45-49 as the last class interval.

#### Solution

Minimum number of book shelves is 16 and maximum number of book shelves is 45

Range = maximum B. S – Minimum B. S

= 45 – 16

= 29

Given class interval = 45 – 49. So class size

= 49-45 = 4.

∴ Number of classes = `"Range"/"Class size"=29/4=7.25`

⇒ Number of classes = 8.

The cumulative frequencies distribution is as

No. of Books | No. of shelves (Frequency) | Cumulative frequency |

13-17 | 1 | 1 |

17-21 | 6 | 7 |

21-25 | 11 | 18 |

25-29 | 15 | 33 |

29-33 | 12 | 45 |

33-37 | 5 | 50 |

37-41 | 6 | 56 |

41-45 | 3 | 59 |

45-49 | 1 | 60 |

Is there an error in this question or solution?

Solution The Number of Books in Different Shelves of a Library Are as Follows: 30, 32, 28, 24, 20, 25, 38, 37, 40, 45, 16, 20 19, 24, 27, 30, 32, 34, 35, 42, 27, 28, 19, 34, 38, 39, 42, Concept: Presentation of Data.