The document RD Sharma Solutions Ex-24.4, Measures Of Central Tendency, Class 9, Maths Class 9 Notes | EduRev is a part of the Class 9 Course RD Sharma Solutions for Class 9 Mathematics.

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**Q 1 . Find out the mode of the following marks obtained by 15 students in a class :**

**Marks : 4 , 6 , 5 , 7 , 9 , 8 , 10 , 4 , 7 , 6 , 5 , 9 , 8 , 7 , 7.**

**SOLUTION :**

Marks | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

No.of Students | 2 | 2 | 2 | 4 | 2 | 2 | 1 |

Since maximum frequency corresponds to the value 7 then mode = 7 marks.

**Q 2 . Find out the mode from the following data :**

**125 , 175 , 225 , 125 , 225 , 175 , 325 , 125 , 375 , 225 , 125**

**SOLUTION :**

Values | 125 | 175 | 225 | 325 | 375 |

Frequency | 4 | 2 | 3 | 1 | 1 |

Since maximum frequency 4 corresponds to the value 125 then mode = 125

**Q 3 . Find the mode for the following series :**

**7.5 , 7.3 , 7.2 , 7.2 , 7.4 , 7.7 , 7.7 , 7.5 , 7.3 , 7.2 , 7.6 , 7.2**

**SOLUTION :**

Values | 7.2 | 7.3 | 7.4 | 7.5 | 7.6 | 7.7 |

Frequency | 4 | 2 | 1 | 2 | 1 | 2 |

Since maximum frequency 4 corresponds to the value 7.2 then mode = 7.2

**Q 4 . Find the mode of the following data in each case :**

**(i) . 14 , 25 , 14 , 28 , 18 , 17 , 18 , 14 , 23 , 22 , 14 , 18**

**SOLUTION :**

Arranging the numbers in ascending order:

14 , 14 , 14 , 14 , 17 , 18 , 18 , 18 , 22 , 23 , 25 , 28

Here the observation 14 is having the highest frequency i . e , 4 in given data, so mode = 14.

**(ii) . 7 , 9 , 12 , 13 , 7 , 12 , 15 , 7 , 12 , 7 , 25 , 18 , 7**

**SOLUTION :**

Values | 7 | 9 | 12 | 13 | 15 | 18 | 25 |

Frequency | 5 | 1 | 3 | 1 | 1 | 1 | 1 |

Since maximum frequency 5 corresponds to the value 7 then mode = 7

**Q 5 . The demand of different shirt sizes, as obtained by a survey, is given below :**

Size: | 38 | 39 | 40 | 41 | 42 | 43 | 44 | Total |

No. of persons(wearing it) | 26 | 39 | 20 | 15 | 13 | 7 | 5 | 125 |

**Find the modal shirt sizes, as observed from the survey.**

**SOLUTION :**

Size: | 38 | 39 | 40 | 41 | 42 | 43 | 44 | Total |

No. of persons(wearing it) | 26 | 39 | 20 | 15 | 13 | 7 | 5 | 125 |

Since, maximum frequency 39 corresponds to the value 39 then mode = 39