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The scores in mathematics test (out of 25) of 15 students is as follows: 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20 Find the mode and median of this data. Are they same?

The scores in mathematics test (out of 25) of 15 students is as follows: 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20 Find the mode and median of this data. Are they same?

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
10 months ago
Dear Student

Arranging the given scores in an ascending order, we get 5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25
Mode,
Mode is the value of the variable which occurs most frequently.
Clearly, 20 occurs maximum number of times. Hence, mode of the given sores is 20
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)thobservation.
= 1⁄2 (15 + 1)
= 1⁄2 (16)
= 16/2
=8
Then, value of 8thterm = 20 Hence, the median is 20.
Yes, both the values are same

Thanks

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