Ex 14.4, 6
Give one example of a situation in which
(i) the mean is an appropriate measure of central
When the data does not change much, mean is an appropriate measure of central tendency.
For example -
Marks of a student in 5 tests
7, 6, 6, 7 , 5
∴ Mean = (7 + 6 + 6 + 7 + 5)/5 = 31/5 = 6.2
Here 6.2 is an appropriate measure of central tendency
Ex 14.4, 6
Give one example of a situation in which
(ii) the mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.
When the data has a very high or a very low value, then mean is not an appropriate measure of central tendency.
Then, median can be an appropriate measure
Example –
Runs scored by Shikhar Diwan in 5 matches,
20, 21, 23, 100, 25
Here, Mean = (20 + 21 + 23 + 25 + 100)/5 = 189/5 = 37.8
But Median ,
Arrange data in ascending Order
20, 21, 23, 25, 100
Middle term = ((5+1)/2) ^{ rd } Term = 3 ^{ rd } Term
Here 3 ^{ rd } term is 23
Thus, Median = 23 is an appropriate measure of central tendency