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The weights (in kg.) of 15 students of a class are: 38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47 Find the mode and median of this data.

The weights (in kg.) of 15 students of a class are: 38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47
Find the mode and median of this data.

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

Arranging the given weights 15 students of a class in an ascending order, we get
32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50
Mode and Median
Mode,
Mode is the value of the variable which occurs most frequently.
Clearly, 38 and 43 both occurs 3 times.
Hence, mode of the given weights are 38 and 43.
Median,
The value of the middle-most observation is called the median of the data. Here n = 15, which is odd.
Where, n is the number of the students.
∴median = value of 1⁄2 (n + 1)th observation.
= 1⁄2 (15 + 1)
= 1⁄2 (16)
= 16/2
= 8
Then, value of 8thterm = 40
Hence, the median is 40.

​Thanks

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