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6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15

Find the mean, mode and median of this data. Are the three same?

Answer :

Given data:

6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15

Mean = sum of total observations / number of observations =

6+15+120+50+100+80+10+15+8+10+15/11 =429/11=39

Arranging the given data in increasing order, we get

6,8,10,10,15,15,15,50,80,100,120

Here, 15 occurs 3 times (highest)

Therefore Mode = 15

n = 11 (odd)

Therefore Median \(=\frac{11+1}{2} \)^{th} term = 6^{th} term = 15

Thus mean = 39, mode = 15 and median = 15

$$ No, they are not same. $$

- 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?
- 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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