**Question 1.The following table shows the information regarding the milk collected from farmers on a milk collection centre and the content of fat in the milk, measured by a lactometer. Find the mode of fat content.**

Solution:

Solution:

Here, the maximum frequency is 80.

∴ The modal class is 4 – 5.

L = lower class limit of the modal class = 4

h = class interval of the modal class = 1

f_{1} = frequency of the modal class = 80

f_{0} = frequency of the class preceding the modal class = 70

f_{2} = frequency of the class succeeding the modal class = 60

∴ The mode of the fat content is 4.33%.

**Question 2.Electricity used by some families is shown in the following table. Find the mode of use of electricity.Solution:**

Here, the maximum frequency is 100.

∴ The modal class is 60 – 80.

L = lower class limit of the modal class = 60

h = class interval of the modal class = 20

f

_{1}= frequency of the modal class = 100

f

_{0}= frequency of the class preceding the modal class = 70

f

_{2}= frequency of the class succeeding the modal class = 80

∴ The mode of use of electricity is 72 units.

**Question 3.Grouped frequency distribution of supply of milk to hotels and the number of hotels is given in the following table. Find the mode of the supply of milk.Solution:**

Here, the maximum frequency is 35.

∴ The modal class is 9 – 11.

L = lower class limit of the modal class = 9

h = class interval of the modal class = 2

f

_{1}= frequency of the modal class = 35

f

_{0}= frequency of the class preceding the modal class = 20

f

_{2}= frequency of the class succeeding the modal class = 18

∴ The mode of the supply of milk is 9.94 litres (approx.).

**Question 4.The following frequency distribution table gives the ages of 200 patients treated in a hospital in a week. Find the mode of ages of the patients.Solution:**

Here, the maximum frequency is 50.

The modal class is 9.5 – 14.5.

L = lower class limit of the modal class = 9.5

h = class interval of the modal class = 5

f

_{1}= frequency of the modal class = 50

f

_{0}= frequency of the class preceding the modal class = 32

f

_{2}= frequency of the class succeeding the modal class = 36

∴ The mode of the ages of the patients is 12.31 years (approx.).