Question

Your first eight homework scores are 98, 96, 91, 88, 94, 92, 99, and 100. Your ninth score is 17. (It was a bad week.) Find the mean and median of these nine scores. (Round the mean to one decimal place.)

Answer 1

`\begin{gathered} a)86.1 \\ b)94 \end{gathered}`

Step-by-step explanation

a) The mean of all the scores is the sum of all the scores divided by the total number of scores.

That is:

`\begin{gathered} M=\frac{98+96+91+88+94+92+99+100+17_{}}{9} \\ M=86.1 \end{gathered}`

b) The median score is the score that falls in the middle of the data set after they have been arranged in order of least to greatest.

Arranging them, we have:

`17,88,91,92,94,96,98,99,100`

The median is the fifth data point, i.e. 94.