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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.

- Q.2 The runs scored in a cricket match by 11 players is as follows: 6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15 Find the mean, mode and median of this data. Are the three same?
- Q.3 The weights (in kg) of 15 students of a class are: 38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47 (i) Find the mode and median of this data. (ii) Is there more than one mode?
- Q.4 Find the mode and median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14
- Q.5 Tell whether the statement is true or false. (i) The mode is always one of the number in a data. (ii) The mean is one of the numbers in a data. (iii) The median is always one of the numbers in a data. (iv) The data 6, 4, 3, 8, 9, 12, 13, 9 has mean 9.

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