the table on the left shows the distribution of scores on a quiz taken in an algebra class. what is the mean…
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
Answer
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:
$12.2$