Find the mode of the following frequency distribution
Class interval 10-14 14-18 18-22 22-26 26-30 30-34 34-38 38-42
Frequency 8 6 11 20 25 22 19 4
Answers
Given : frequency distribution
Class interval 10-14 14-18 18-22 22-26 26-30 30-34 34-38 38-42
Frequency 8 6 11 20 25 22 19 4
To Find: Mode
Solution:
Class interval Frequency
10-14 8
14-18 6
18-22 11
22-26 20
26-30 25
30-34 22
34-38 19
38-42 4
Max frequency 25 against 26 - 30
Modal class = 26-30
Mode = 26 + 4 * (25 - 20)/ (25 - 20 + 25 - 22)
= 26 + 4 * 5 / 8
= 26 + 2.5
= 28.5
mode of the given frequency distribution = 28.5
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