Question

To calculate mean of grouped data, Rahul used assumed mean method. He used \(d = (x - A)\), where \(A\) is the assumed mean. Then \(\bar{x}\) is equal to

• A. \(A + \bar{d}\)
• B. \(A + h\bar{d}\)
• C. \(h(A + \bar{d})\)
• D. \(A - h\bar{d}\)

Hint:

Mean using assumed mean method: \(\bar{x} = A + h\bar{d}\), where \(h\) is class width.

Answer 1

The Correct Option is B

In the assumed mean method of finding mean of grouped data: \[ \bar{x} = A + h \cdot \bar{d}, \quad \text{where } \bar{d} = \dfrac{\sum fd}{\sum f} \]