#### Use the adjoining table to find:

#### (i) upper and lower limits of fifth class.

(ii) true class limits of the fifth class.

(iii) class boundaries of the third class.

(iv) class mark of the fourth class.

Class |
Frequency |

28-32 |
5 |

33-37 |
8 |

38-42 |
13 |

43-47 |
9 |

48-52 |
7 |

53-57 |
5 |

58-62 |
2 |

**Solution:**

**(i)** Upper and lower limits of fifth class are as follows.

Upper limit = 52 and lower limit = 48

**(ii)** True class limits of the fifth class

Upper limit = 52.5 and lower limit = 47.5

**(iii)** Class boundaries of the third class is 37.5 and 42.5.

**(iv)** Class mark of the fourth class = (43 + 47)/2 = 90/2 = 45

**(v)** Width of sixth class=57.5 – 52.5 = 5

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