# 1.  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?

Scores of 15 students are : $19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20$

Arranging the data in ascending order = $5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25$

We know,

Mode: The number which occurs most frequently.

Median: Median is the mid-value of the set of numbers.

Here, 20 occurs 4 times, therefore 20 is the mode of the data.

Also, the middle value is 20.

Therefore, the median of the data is 20.

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

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