Find the mode for the following data. Marks 1 - 5 6 - 10 11 - 15 16 - 20 21 - 25 Number of students 7 10 16 32 24

Marks f 0 . 5 - 5 . 5 7 5 . 5 - 10 . 5 10 10 . 5 - 15 . 5 16 15 . 5 - 20 . 5 32 20 . 5 - 25 . 5 24 Modal class is 16 - 20 since it has the maximum frequency. l = 15 . 5 , f = 32 , f 1 = 16 , f 2 = 24 , c = 20 . 5 - 15 . 5 = 5 Mode = l + f - f 1 2 f - f 1 - f 2 × c = 15 . 5 + 32 - 16 64 - 16 - 24 × 5 = 15 . 5 + 16 24 × 5 = 15 . 5 + 3 . 33 = 18 . 83 Hence, the required mode is 18 . 83 .

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Mathematics Standard 9>Chapter 8 - Statistics>Solved Example

Tamil Nadu Board Solutions for Chapter: Statistics, Exercise 17: Solved Example

Author:Tamil Nadu Board

Tamil Nadu Board Mathematics Solutions for Exercise - Tamil Nadu Board Solutions for Chapter: Statistics, Exercise 17: Solved Example

Attempt the free practice questions on Chapter 8: Statistics, Exercise 17: Solved Example with hints and solutions to strengthen your understanding. Mathematics Standard 9 solutions are prepared by Experienced Embibe Experts.