Mathematics
On average, 80 patients get admitted into a nursing home in a day. The ages of the patients admitted and their number are as given below :
| Age (in years) | No. of patients |
|---|---|
| 10 - 20 | 13 |
| 20 - 30 | 23 |
| 30 - 40 | 25 |
| 40 - 50 | 14 |
| 50 - 60 | 5 |
Find :
(i) The average age for which maximum cases occur.
(ii) The upper limit of modal class.
(iii) The mean of the given data.
Related Questions
The marks of 10 students of a class in an examination arranged in ascending order is as follows :
13, 35, 43, 46, x, x + 4, 55, 61, 71, 80.
If the median marks is 48, find the value of x. Hence, find the mode of the given data.
The histogram below represents the scores obtained by 25 students in a Mathematics mental test. Use the data to :
(i) Frame a frequency distribution table.
(ii) To calculate mean.
(iii) To determine the modal class.

For the data given in the following tables, find :
(i) mean
(ii) mode (using graph)
(iii) median (using graph)
(a)
Class-mark Frequency 15 10 25 12 35 14 45 16 55 8 (b)
Class-mark Frequency 35 8 40 10 45 12 50 15 55 20 60 15 Along with an increase in population, electricity consumption per person is also increasing nationwide.
A survey is conducted for 560 families of Mangal Pande Nagar, Meerut. The following table gives the monthly consumption of electricity of these families.
Monthly consumption (in units) No. of families 0 - 100 160 100 - 200 120 200 - 300 180 300 - 400 60 400 - 500 40 Assuming that no family consumes more than 500 units of electricity, find :
(i) The mean monthly consumption.
(ii) The modal monthly class.