the table displays the scores of students on a recent exam. find the mean of the scores to the nearest 10th…

the table displays the scores of students on a recent exam. find the mean of the scores to the nearest 10th. score number of students 70 3 75 5 80 3 85 2 90 3 95 3

the table displays the scores of students on a recent exam. find the mean of the scores to the nearest 10th. score number of students 70 3 75 5 80 3 85 2 90 3 95 3

Answer

Explanation:

Step1: Calculate the sum of the products

Multiply each score by the number of students and sum them up. $(70\times3)+(75\times5)+(80\times3)+(85\times2)+(90\times3)+(95\times3)$ $=210 + 375+240 + 170+270+285$ $=1550$

Step2: Calculate the total number of students

Sum up the number of students in each category. $3 + 5+3+2+3+3$ $=19$

Step3: Calculate the mean

Divide the sum of the products by the total number of students. $\frac{1550}{19}\approx81.6$

Answer:

$81.6$