List of top Mathematics Questions on Measures of Dispersion asked in AP EAPCET

If the mean of the set of values \( (3,6,9,10,n) \) is \( 9 \), then the variance of the given set of values is:

The mean of 5 observations is 5. If three of the observations are 1, 2, 6 and the other two observations are such that each is greater than 5, then the mean deviation from the mean of the observations is

Consider the following statements:
Statement - I: The variance of the first n even natural numbers is \( \frac{n^{2}-1}{4} \)
Statement - II: The difference between the variance of the first 20 even natural numbers and their mean is 112
Which of the following is correct?

The mean deviation about the mean for the following data is \[ \begin{array}{c|cccc} x_i & 1 & 2 & 4 & 7\\ \hline f_i & 3 & 2 & 4 & 1 \end{array} \]

If the mean deviation of the numbers $1, 1+d, 1+2d, \dots, 1+100d$ from their mean is 255, then $d =$

The variance of the first $n$ even natural numbers is:

The mean deviation about the median for the following data: \(6,3,4,9,2,7,11\) is:

The range of the data \(35, 12, 21, 24, 15, 7, 16, 12, 30, 32, 13, 17\) is: