Chapter 10, Problem 1MCQ

To determine

To calculate mean, median and mode.

Answer to Problem 1MCQ

Mean is 18.6, median is 18, mode is 30.

Explanation of Solution

Given information:

The data set is,

{10, 11, 18, 24, 30}

Formula used:

Mean is,

  $\overline{x}=\frac{{{\displaystyle \sum x}}_i}{n}$

Median is,

  $M=\frac{{(n+1)}^{th}}{2}observation$

Mode is the maximum value,

  $z=max$ value

Calculation:

For mean, substituting the values in the formula,

  $\overline{x}=\frac{10+11+18+24+30}{5}$

So,

  $\overline{x}=\frac{93}{5}$

On solving,

  $\overline{x}=18.6$

Hence, mean is 18.6

For median, n is odd,

Substituting the values in the formula,

  $M=\frac{{(5+1)}^{th}}{2}observation$

On solving,

  $M=3^{rd}observation$

Substituting the values,

  $M=18$

Hence, median is 18.

For mode, substituting the value,

  $z=30$

Hence, mode is 30