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\n60 4\n65 1\n70 7\n75 2\n80 3\n85 4\n90 7\n95 1
Answer
Explanation:
Step1: Calculate the sum of the products
Multiply each score by the number of students and sum them up. $(60\times4)+(65\times1)+(70\times7)+(75\times2)+(80\times3)+(85\times4)+(90\times7)+(95\times1)$ $=240 + 65+490+150+240+340+630+95$ $=2250$
Step2: Calculate the total number of students
Sum up the number of students in each score - group. $4 + 1+7+2+3+4+7+1=29$
Step3: Calculate the mean
Divide the sum of the products by the total number of students. $\frac{2250}{29}\approx77.6$
Answer:
$77.6$