Question

Arrange the following in increasing order on the basis of dispersion of data with given mean, number of data points and sum of squares:
A. \(n=5,\ \sum x^2=100,\ \bar{x}=3\);
B. \(n=5,\ \sum x^2=100,\ \bar{x}=4\);
C. \(n=10,\ \sum x^2=100,\ \bar{x}=2\);
D. \(n=10,\ \sum x^2=100,\ \bar{x}=3\).

• A. \(A,B,C,D\)
• B. \(A,B,D,C\)
• C. \(B,A,D,C\)
• D. \(D,B,C,A\)

Hint:

When \(\sum x^2\), \(n\), and \(\bar{x}\) are given, use \(\sigma^2=\frac{\sum x^2}{n}-\bar{x}^2\).

Answer 1

The Correct Option is D