the table displays the scores of students on a recent exam. find the mean of the scores to the nearest…

the table displays the scores of students on a recent exam. find the mean of the scores to the nearest 10th.\nscore number of students\n55 2\n60 1\n65 3\n70 9\n75 1\n80 6\n85 5\n90 3

the table displays the scores of students on a recent exam. find the mean of the scores to the nearest 10th.\nscore number of students\n55 2\n60 1\n65 3\n70 9\n75 1\n80 6\n85 5\n90 3

Answer

Answer:

74.6

Explanation:

Step1: Calculate the sum of products

[ \begin{align*} &(55\times2)+(60\times1)+(65\times3)+(70\times9)+(75\times1)+(80\times6)+(85\times5)+(90\times3)\ =&110 + 60+195 + 630+75+480+425+270\ =&2245 \end{align*} ]

Step2: Calculate the total number of students

[2 + 1+3 + 9+1+6+5+3=30]

Step3: Calculate the mean

[ \text{Mean}=\frac{2245}{30}\approx74.83\approx74.6] (rounded to the nearest tenth)