Question

question. the table displays the scores of students on a recent exam. find the mean of the scores to the nearest 10th.
score: 95, 90, 85, 80, 75
number of students: 3, 3, 3, 7, 2

Explanation:

Step1: Calculate the sum of the products of scores and frequencies

Multiply each score by its frequency and sum them up.
$(95\times3)+(90\times3)+(85\times3)+(80\times7)+(75\times2)=285 + 270+255 + 560+150 = 1520$

Step2: Calculate the total number of students

Sum up the frequencies.
$3 + 3+3 + 7+2=18$

Step3: Calculate the mean

Divide the sum of products by the total number of students.
$\frac{1520}{18}\approx84.4$

Answer:

$84.4$