Question

the table on the left shows the distribution of scores on a quiz taken in an algebra class. what is the mean rounded to the nearest tenth? score freq 6 11 8 26 10 27 12 32 14 31 16 12 18 15 20 7

Explanation:

Step1: Calculate the sum of the product of score and frequency

$6\times11 + 8\times26+10\times27 + 12\times32+14\times31+16\times12+18\times15+20\times7$
$=66+208 + 270+384+434+192+270+140$
$=1964$

Step2: Calculate the total frequency

$11 + 26+27+32+31+12+15+7$
$=161$

Step3: Calculate the mean

The mean $\bar{x}=\frac{1964}{161}\approx12.2$

Answer:

$12.2$