The median of the following data is 16. Find the missing frequencies a and b, if the total of the frequencies is 70.

The median of the data is 16. Find the missing frequencies a and b

Question 31 - CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard - Part 2
Question 31 - CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard - Part 3 Question 31 - CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard - Part 4

 

Note : This is similar to Example 8, Chapter 14 Class 10 Statistics (NCERT Book)

Check the answer here https:// www.teachoo.com /1963/561/Example-8---Median-is-525.-Find-values-of-x-and-y/category/Examples/

  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

Transcript

Question 31 The median of the following data is 16. Find the missing frequencies a and b, if the total of the frequencies is 70.Given โˆ‘โ–’๐’‡๐’Š = 70 Finding Cummulative Freq. Since Median = 16 15 โ€“ 20 is median class Median = l + (๐‘›/2 โˆ’๐‘๐‘“)/๐‘“ ร— h Where l = lower limit of median class h = class-interval n = โˆ‘โ–’๐‘“๐‘– cf = cumulative freq.of class before median class f = frequency of the median class Now, Median = l + (๐’/๐Ÿ โˆ’๐’„๐’‡)/๐’‡ ร— h 16 = 15 + (70/2 โˆ’ (24 + ๐‘Ž))/15 ร— 5 16 โˆ’ 15 = (35 โˆ’ 24 โˆ’ ๐‘Ž)/3 1 = (11 โˆ’ ๐‘Ž)/3 3 = 11 โˆ’ a a = 11 โˆ’ 3 a = 8 Also, โˆ‘โ–’๐’‡๐’Š = 55 + a + b 70 = 55 + a + b Putting a = 8 70 = 55 + 8 + b 70 = 63 + b 70 โˆ’ 63 = b b = 7

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.