CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard

Class 10
Solutions of Sample Papers for Class 10 Boards

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

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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/

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### 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 ββππ = 70 Finding Cummulative Freq. Since Median = 16 15 β 20 is median class Median = l + (π/2 βππ)/π Γ h Where l = lower limit of median class h = class-interval n = ββππ cf = cumulative freq.of class before median class f = frequency of the median class Now, Median = l + (π/π βππ)/π Γ h 16 = 15 + (70/2 β (24 + π))/15 Γ 5 16 β 15 = (35 β 24 β π)/3 1 = (11 β π)/3 3 = 11 β a a = 11 β 3 a = 8 Also, ββππ = 55 + a + b 70 = 55 + a + b Putting a = 8 70 = 55 + 8 + b 70 = 63 + b 70 β 63 = b b = 7