Mode for Grouped Data

Q.

The mode of the following data is ___

$\begin{array}{cccccc}\text{Class interval}& 0-100& 100-200& 200-300& 300-400& 400-500\\ \text{Frequency}& 7& 11& 15& 9& 8\end{array}$

Q. A cement company earns a profit of Rs. $9$ per bag of white cement sold and a loss of Rs. $5$ per bag of grey cement sold.. The company sells $7000$ bags of white cement and $6000$ bags of grey cement in a month. What is its profit or loss?

1. Loss $33,000$
2. Profit $32,000$
3. Profit $33,000$
4. Loss $32,000$

Q. The following table shows the age distribution of cases of a certain diseases admitted during a year in a particular hospital.

Age (in years):	5-14	15-24	25-34	25-44	45-54	55-64
No. of cases:	6	11	21	23	14	5

Find the average age for which maximum cases occured.

Q. The number of burgers sold on seven days in a cafetaria is given.


Which of the following gives the mode and the range of the data set?

1. 50, 60
2. 60, 80
3. 70, 90
4. 50, 70

Q. The following table shows the age distribution of cases of a certain disease admitted during a year in a particular hospital

Age (in Years)	5 - 14	15 - 24	25 - 34	35 - 44	45 - 54	55 - 64
No. of Cases	6	11	21	23	14	5

Find the nearest integer to the modal age.

Q.

The following data gives the information on the observed lifetime (in hours) of 225 electrical components:
$\begin{array}{ccccccc}\text{Life time (in hours)}& 0-20& 20-40& 40-60& 60-80& 80-100& 100-120\\ \text{Number of components}& 10& 35& 52& 61& 38& 29\end{array}$

Determine the modal lifetimes of the components.

1. 60.02

2. 65.62

3. 65.69

4. 66.21