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?

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?

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.