In the formula x̄ = a + h f_i u_i/ f_i, for finding the mean of grouped frequency distribution, u_i =
a. x_i + a /h
b. h(x_i - a)
c. x_i - a /h
d. a - x_i /h

Solution:

From the question

x = a + h (f_iu_i/f_i)

It is the step deviation formula

Where

x_i = data values

a = assumed mean

h = class size

When the class size is similar, the calculation of mean can be simplified by using the coded mean of u₁, u₂, u₃ …..

Where u_i = (x_i - a)/h

Therefore, for finding the mean of grouped frequency distribution, u_i = (x_i - a)/h.

✦ Try This: If u_i = (x_i - 25)/10, Σf_iu_i = 50 and Σf_i = 100 then \(\overline{x}\) is equal to

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.1 Problem 4

In the formula x̄ = a + h f_i u_i/ f_i, for finding the mean of grouped frequency distribution, u_i = a. x_i + a /h, b. h(x_i - a), c. x_i - a /h, d. a - x_i /h

Summary:

In the formula x̄ = a + h f_iu_i/f_i, for finding the mean of grouped frequency distribution, u_i = (x_i - a)/h

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