What is the easiest step by step for the problem: The dot plot shows the heights of the chess club members.

a dot plot titled height of Chess Club Members in inches ranging from 65 to 84 is shown. There are dots at 65, 67, 69, 70, 71, 72, 73, 74, 76, and 78. The frequencies are 1, 1, 3, 3, 3, 4, 6, 4, 3, and 1.
What is the mean height of the chess club members?

1 answer

1. List out the heights and their corresponding frequencies:
65 (1)
67 (1)
69 (3)
70 (3)
71 (3)
72 (4)
73 (6)
74 (4)
76 (3)
78 (1)

2. Multiply each height by its frequency to find the total sum:
65(1) + 67(1) + 69(3) + 70(3) + 71(3) + 72(4) + 73(6) + 74(4) + 76(3) + 78(1) = 1980

3. Add up all the frequencies:
1 + 1 + 3 + 3 + 3 + 4 + 6 + 4 + 3 + 1 = 29

4. Divide the total sum by the total frequencies to find the mean:
1980 / 29 = 68.27

Therefore, the mean height of the chess club members is 68.27 inches.
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