Question

Calculate the mean , median , mode of
the data = 5, 10, 10, 12, 13
Are these these three
equal ?​

Answer 1

The data is ⇒ 5, 10, 10, 12, 13

(i) Mean ⇒ It is also known as average. To find an average or mean of a data we add the data and divide it with the number of values in the data. The mean of the following data is ⇒

(5 + 10 + 10 + 12 + 13) ÷ 5

(50) ÷ 5

10

∴ Mean = 10

(ii) Median ⇒ To find the median of the data we need to arrange to values in the data in ascending or descending form and then the middle number is the median. The median of the following data is ⇒

5<10<10<12<13

The middle number is 10.

∴ The median = 10

(iii) Mode ⇒ It is the value that is seen the most in the data.

∴ 10 is the mode because it occurs twice in the data.

∴ In this data the mode=median=mean, but this is not the same in all data.