What is the mode of the following
distribution?
Class Int
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50-55
frequency
25
34
50
42
38
14
O 35.52
O 36.45
O 38.33
0 37.51
Answers
Answered by
0
Answer:
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Step-by-step explanation:
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Answered by
1
Answer:
The mode is "38.33".
Step-by-step explanation:
The given table:
Class Interval: 25-30 30 - 35 35 - 40 40 - 45 45-50 50-55
Frequency: 25 34 50 42 38 14
As the class 35-40 has maximum frequency. it is caled modal class.
∴x_{k}x
k
= 35, f_{k}f
k
= 50, f_{k- 1}f
k−1
= 34, f_{k + 1}f
k+1
= 42 and h =5
Mode = 35 + \dfrac{50 - 34}{2(50) - 34 - 42}
2(50)−34−42
50−34
× 5
= 35 + \dfrac{16}{24}
24
16
× 5
= 35 + 3.33
= 38.33
Hence, the mode is 38.33.
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