Question

The table displays the scores of students on a recent exam. Find the mean of the scores to the nearest 10th.ScoreNumber of Students70 175 480 785 290 8

Answer 1

`82.7`

Step-by-step explanation

From the given data;

The total number of students is;

`\begin{gathered} \sum_^f=1+4+7+2+8 \\ =22 \end{gathered}`

Summation of the number of students and frequency;

`\begin{gathered} \sum_^fx=(70*1)+(75*4)+(80*7)+(85*2)+(90*8) \\ =70+300+560+170+720 \\ =1820 \end{gathered}`

Recall that mean is calculated using;

`\begin{gathered} x=(\sum_fx)/(\sum_^f) \\ =(1820)/(22) \\ =82.7272 \\ \cong82.7 \end{gathered}`

Therefore the mean is 82.7