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\n65 3\n70 2\n75 9\n80 4\n85 5\n90 5
Answer
Explanation:
Step1: Calculate the sum of products
Multiply each score by the number of students and sum them up. $(65\times3)+(70\times2)+(75\times9)+(80\times4)+(85\times5)+(90\times5)=195 + 140+675+320+425+450 = 2205$
Step2: Calculate the total number of students
Sum up the number of students in each score - group. $3 + 2+9+4+5+5=28$
Step3: Calculate the mean
Divide the sum of products by the total number of students. $\frac{2205}{28}\approx78.8$
Answer:
$78.8$