Mean Median Mode

Given mean = 20 and mode = 14, find the median using the empirical formula.

If the mean of n observations is X, and each observation is multiplied by 3, the new mean is:

For a set of 11 observations arranged in descending order, which position is the median?

If the arithmetic mean of 5, 7, 9, x is 9, what is the value of x?

Calculate the mean of the squares of the first three natural numbers.

Which of the following is true for the data: 2, 2, 4, 4, 4, 5, 5?

The median of observations 11, 12, 14, 18, x+2, x+4, 30, 32, 35, 41 arranged in ascending order is 24. Find x.

If the mode of a data is 18 and mean is 24, find the median.

Find the weighted mean of 10, 20, 30 with weights 1, 2, 3 respectively.

If the mean of a, b, c is M, and (a+b+c+d)/4 = M, then d must be:

For a distribution, if $\sum f = 20$ and $\sum fx = 100$, what is the mean?

If the median of 5 numbers is 10, and each number is increased by 2, the new median is:

Which class is the modal class for the frequencies: 0-10 (5), 10-20 (12), 20-30 (8)?

If the sum of 10 observations is 150 and the mean of 5 of them is 10, what is the mean of the remaining 5?

In the formula for median of grouped data $L + \frac{\frac{N}{2} - cf}{f} \times h$, what does 'cf' represent?

The mean of five numbers is 27. If one number is excluded, the mean becomes 25. The excluded number is:

Find the mode from the following: Class 0-5 (freq 2), 5-10 (freq 5), 10-15 (freq 2).

If the mean of 1, 2, 3... n is 6, what is n?

What is the median of 1/2, 1/3, 1/4, 1/5?

The mean of a set of data is 5. If every value is doubled and then 3 is added, the new mean is: