Chapter 10, Problem 2MCQ

To determine

To calculate mean, median and mode.

Answer to Problem 2MCQ

Mean is 10, median is 9, mode is 9.

Explanation of Solution

Given information:

The data set is,

{4, 8, 9, 9, 10, 14, 16}

Formula used:

Mean is,

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

Median is,

  $M={\frac{n+1}{2}}^{th}$

Mode is the maximum value or the most repeated value,

  $z=Most\mathrm{Re}peatedValue$

Calculation:

For mean, substituting the values in the formula,

  $\overline{x}=\frac{4+8+9+9+10+14+16}{7}$

So,

  $\overline{x}=\frac{70}{7}$

On solving,

  $\overline{x}=10$

Hence, mean is 10.

For median, substituting the values in the formula,

  $M=\frac{7+1^{th}}{2}$

On solving,

  $M=4^{th}$

Substituting the values,

  $M=9$

Hence, median is 9

For mode, substituting the value,

  $z=9$

Hence, mode is 9.