Chapter 10.1, Problem 23PFA

To determine

To find mean, median and mode.

Answer to Problem 23PFA

B is correct option

Explanation of Solution

Given information:

Test score of Amit 98, 80, 92, 79, 84, 88, 80.

Formula used:

Mean= $\frac{{\displaystyle \sum _{i=1}^n{X}_i}}{n}$

Where, n=total number of terms,

  ${\displaystyle \sum _{i=1}^n{X}_i}$ = sum of all terms

Mode= most repeating numbers.

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

Calculation:

Mean:

Substituting the values,

Mean $\begin{array}{l}=\frac{98+80+92+79+84+88+80}{7}\\ =\frac{601}{7}\\ =85.85\end{array}$

Mode:

The most repeating value is 80, hence, mode is 80.

Median:

Place values in ascending order:

79, 80, 80, 84, 88, 92, 98

Number of terms, n is odd,

  $\frac{{(n+1)}^{th}}{2}observation=\frac{7+1}{2}=4^{th}ob=84$

Observing the values of mean, median, mode, B is the correct option.