Calculate mode of the following series, using grouping method:

Size 40 44 48 52 56 60 64 68 72 76

Frequency 10 12 14 20 15 20 18 10 8 4

Open in App

Solution

For the given distribution, the grouping table is as follows.

On the basis of this grouping table, an analysis table is prepared. For each column of the grouping table, we analyse which item/group of items correspond to the highest frequency.

Analysis Table

From the analysis table, it is clear that 60 repeats the maximum number of times. Thus, mode is 60.

Suggest Corrections

Similar questions

Calculate mode from following data:

$\begin{matrix} Class Interval & 5 - 14 & 15 - 24 & 25 - 34 & 35 - 44 & 44 - 54 & 55 - 64 Frequency & 8 & 10 & 15 & 25 & 40 & 20 \end{matrix}$ .

Class	10-20	20-30	30-40	40-50	50-60	60-70
Frequency	11	15	20	30	14	10

Class Interval	10−20	20−30	30−40	40−50	50−60	60−70	70−80
Frequency	5	10	15	20	25	18	7

Find the mode of the following data:

Class	0−20	20−40	40−60	60−80
Frequency	15	6	18	10

Class	0-10	10-20	20-30	30-40	40-50
Frequency	7	12	13	10	8

Join BYJU'S Learning Program