Statistics

NCERT Exercise 14.4

Question 1. The following distribution gives the daily income of 50 workers of a factory.

Daily income (in Rs)	100-120	120-140	140-160	160-180	180-200
Number of workers	12	14	8	6	10

Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.

Answer:

Question 2. During the medical checkup of 35 students of a class, their weights were recorded as follows:

Draw a less than type ogive for the given data. Hence obtain the median weight from the graph and verify the result by using the formula.

Answer:

Since `N = 35` and `n/2 = 17.5` hence median class = Less than 46-48

Here; `l = 46`, `cf = 14`, `f = 14` and `h = 2`

Median can be calculated as follows:

`text(Median)=l+(n/2-cf)/(f)xxh`

`=46+(17.5-14)/(14)xx2`

`=46+1/2=46.5`

This value of median verifies the median shown in ogive.

Question 3. The following table gives production yield per hectare of wheat of 100 farms of a village.

Production yield (in kg)	50-55	55-60	60-65	65-70	70-75	75-80
Number of farms	2	8	12	24	38	16

Change this distribution to a more than type distribution, and draw its ogive.

Answer: