Question

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?

Answer 1

i. The weights (in Kgs) are:
38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47.

Arrange the data in ascending order.
32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50.

Here, 38 and 43 occur the maximum number of tiimes (3 times).

Thus, Mode = 38 and 43

Now, The number of observations are odd.

Thus, Median = <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{n+1}{2}$th term

=> Median = <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{15+1}{2}$th term.

=> Median = 8th term.

=> Median = 40.

ii. Yes, there is more than one mode: 38 and 43.