Question

Your first eight homework scores are 93, 87, 79, 86, 96, 82, 89 and 91. Find the mean and median of these scores. Round the mean to one decimal place.

Answer 1

To find the mean, use the following formula.

$\bar{x}=\frac{\Sigma(x_i)}{N}$

The numerator refers to the addition of all numbers, and N refers to the total number.

$\begin{gathered} \bar{x}=\frac{93+87+79+86+96+82+89+91}{8}=\frac{703}{8} \\ \bar{x}\approx87.9 \end{gathered}$

Therefore, the mean is 87.9.

To find the median, first, we organize the scores from least to greatest.

$79,82,86,87,89,91,93,96$

Given that the number of scores is even, the median would be the mean between 87 and 89.

$\frac{87+89}{2}=\frac{176}{2}=88$

Therefore, the median is 88.