Chapter SH, Problem 13.1.1EP

To determine

To find: the mean, median, and mode for the given data.

Answer to Problem 13.1.1EP

The mean is $88$ .

The median is $91$ .

It has no mode.

Explanation of Solution

Given:

Quiz scores $:82,79,93,91,95$

Measure of central tendency:

Consider the below data,

  $82,79,93,91,95$

Find the mean, median, mode.

Mean:

Mean is sum of data points divided by the number of data points.

Here number of data points is $5$ .

  $\begin{array}{l}Mean=\frac{82+79+93+91+95}{5}\\ =\frac{440}{5}\\ =88\end{array}$

Hence, the mean is $88$ .

Median:

Median is the middle number of the data ordered from lowest to greatest.

Data in increasing order is

  $79,82,91,93,95$

Here middle number is $91$ .

Hence, the median is $91$ .

Mode:

Mode is the number or numbers that occur more often.

Here all data points are occurring only one time.

Hence, it has no mode.

Conclusion:

Hence, the mean is $88$ . the median is $91$ and it has no mode.