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Q.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?
Answer :

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
Since 20 occurs 4 times (highest)
Therefore Mode = 20
n = 15 (odd)
Therefore Median \(= \frac{n+1}{2} \)th term\( = \frac{15+1}{2} = 8th \) term =20
Thus, median = 20 and mode = 20
Therefore Mode and median are same.