Using the given frequency distribution table, find the grouped mean.
A)680
B)35
C)27
D)97

Question

Using the given frequency distribution table, find the grouped mean. 
A)680 
B)35 
C)27 
D)97

Quizplus · Accepted Answer

To find grouped mean, we need to use the formula:
Grouped mean = (sum of midpoints * frequency) / total frequency
In this table, we have the midpoints and frequency. We can calculate the sum of midpoints * frequency by adding the product of each midpoint and frequency. Then we can divide it by the total frequency to get the grouped mean.
(sum of midpoints * frequency) = (10*8) + (20*15) + (30*18) + (40*9) = 120 + 300 + 540 + 360 = 1320
(total frequency) = 50
Grouped mean = (sum of midpoints * frequency) / total frequency
= 1320 / 50
= 26.4
Therefore, the closest option is C)27.

Using the Given Frequency Distribution Table, Find the Grouped Mean