Chapter 12.3, Problem 33SR

To determine

To calculate:

The measure of central tendency that best represent the data with justification and also calculate the measure

Answer to Problem 33SR

The median class best represent the data and its calculated value is 86.

Explanation of Solution

Given information:

The results of the math test score are 78, 81, 85, 86, 88, 85, 90, 91, 85, 95 and 98.

Formula used:

Median = $\frac{{\left(n+1\right)}^{th}}{2}$ term

Calculation:

Since, here is no big gap in the middle of the data and the data set has outliers so median will be best to represent the data.

At first all the number are arranged in ascending order,

78, 81, 85, 85, 85, 86, 88, 90, 91, 95, 98

Here the total class is 11 so $n=11$ which is odd so median will be calculated as,

Median = $\frac{{\left(n+1\right)}^{th}}{2}$ term

  $\begin{array}{l}=\frac{11+1}{2}\\ =\frac{12}{2}\\ =6^{th}\text{term}\end{array}$

Therefore, the median is $6^{th}\text{term}$ that is 86.