Find the mode of the following data. Class interval 50 - 52 53 - 55 56 - 58 59 - 61 62 - 64 Frequency 15 110 135 115 25

Converting the given data into continuos manner as follows: Class interval Frequency 49 . 5 - 52 . 5 15 52 . 5 - 55 . 5 110 55 . 5 - 58 . 5 135 58 . 5 - 61 . 5 115 61 . 5 - 64 . 5 25 From the above table, the modal class of the data is 55 . 5 - 58 . 5 . f 1 - Frequncey of the modal class = 135 f 0 - Frequency of the preceding modal class = 110 f 2 - Frequency of succeding modal class = 115 l - Lower limit of modal class = 55 . 5 h - size of the modal class = 3 Mode of the data can be calculated by using the formula: l + f 1 - f 0 2 f 1 - f 0 - f 2 h ⇒ 55 . 5 + 135 - 110 2 135 - 110 - 115 × 3 ⇒ 55 . 5 + 25 45 × 3 = 55 . 5 + 25 15 = 55 . 5 + 5 3 = 55 . 5 + 1 . 666666 = 57 . 16666666 = 57 . 17 ( approximately ) Hence, mode of the data is 57 . 17 ( approximately ) .

The mean for a grouped data is calculated by x ¯ = a + ∑ f i d i ∑ f i . What do the terms ' f i ' and ' d i ' represent in the above formula?

In the assumed mean method of finding the mean, mean calculated by the formula x ¯ = a + d ¯ Where d ¯ is the mean of the deviations d ¯ = ∑ f i d i ∑ f i x ¯ = a + ∑ f i d i ∑ f i Here a represents the assumed mean d i is the difference between each x i and the assumed mean a f i is the corresponding frequency for the number of observations x i i value varies from 1 to the required value of n .

Write mid-value of the following frequency distribution. Class interval 8 - 11 12 - 15 16 - 19 20 - 23 24 - 27 28 - 31 32 - 35 Frequency 4 4 5 13 20 14 8

Mid-value is the average value of the class interval. Mid-value is also called as class mark. Hence, the required mid-value is in the table below. Class interval Frequency Mid-value 8 - 11 4 9 . 5 12 - 15 4 13 . 5 16 - 19 5 17 . 5 20 - 23 13 21 . 5 24 - 27 20 25 . 5 28 - 31 14 29 . 5 32 - 35 8 33 . 5

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Statistics>Andhra Pradesh Board-2019

Embibe Experts Solutions for Chapter: Statistics, Exercise 1: Andhra Pradesh Board-2018

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Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Statistics, Exercise 1: Andhra Pradesh Board-2018

Attempt the free practice questions on Chapter 14: Statistics, Exercise 1: Andhra Pradesh Board-2018 with hints and solutions to strengthen your understanding. EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS solutions are prepared by Experienced Embibe Experts.