The scores in mathematics test (out of 25) of 15 students are as follo

1.	The scores in mathematics test (out of 25) of 15 students are as follows:19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20Find the mode and median of this data. Are they same?
Answer» Arranging the data in ascending order such that same values are put together, we get: 5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25 Here, n = 15 Therefore median = ((n+1)/2)^th term Median = value of 8^th term Median = 20 Here, clearly, 20 occurs most number of times, i.e., 4 times. Therefore, the mode of the given data is 20. Yes, the median and mode of the given data are the same.

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

Answer»

Arranging the data in ascending order such that same values are put together, we get:

5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25

Here, n = 15

Therefore median = ((n+1)/2)^th term

Median = value of 8^th term

Median = 20

Here, clearly, 20 occurs most number of times, i.e., 4 times. Therefore, the mode of the given data is 20.

Yes, the median and mode of the given data are the same.

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

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