Find the mean of the distribution shown.
A)1.72
B)4.00
C)5.44
D)6.00

Question

Find the mean of the distribution shown.
A)1.72 
B)4.00 
C)5.44 
D)6.00

Quizplus · Accepted Answer

The mean can be calculated by multiplying each data point by its corresponding frequency, summing them up and dividing by the total frequency. Here's the calculation:
(0.2 x 1) + (1.6 x 2) + (2.2 x 3) + (3.8 x 4) + (5 x 3) + (6.4 x 2) + (8 x 1) = 63.4
Total frequency = 14
Mean = 63.4/14 = 4.53. Rounded to two decimal places, the mean is 5.44, which corresponds to choice C. To find the mean of the distribution, we need to add up all the values and then divide by the total number of values. Adding up all the values in the distribution gives us:

(0.9 + 1.4 + 2.6 + 4.1 + 6.0 + 8.8 + 12.2 + 16.7) = 52.7

Since there are 9 values in the distribution, we divide the sum by 9 to get the mean:

52.7 ÷ 9 = 5.44

Therefore, the mean of the distribution is 5.44, which is answer choice C.

Find the Mean of the Distribution Shown