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 1\n60 5\n65 6\n70 1\n75 7\n80 7\n85 2\n90 9
Answer
Explanation:
Step1: Calculate the sum of the products
Multiply each score by the number of students and sum them up. [ (55\times1)+(60\times5)+(65\times6)+(70\times1)+(75\times7)+(80\times7)+(85\times2)+(90\times9) ] [ = 55 + 300+390 + 70+525+560+170+810 ] [ = 2880]
Step2: Calculate the total number of students
Sum up the number of students in each score - group. [1 + 5+6 + 1+7+7+2+9] [= 38]
Step3: Calculate the mean
Divide the sum of the products by the total number of students. [ \text{Mean}=\frac{2880}{38}\approx75.8]
Answer:
75.8