Chapter 5 • Measures of Central Tendency | 171 Calculate the median annual income of a group of employees from
the data given below:
5.
Annual income in Rs.
Under 2000
No. of Employees
15
2000 - 2999
32
3000 - 3999
65
4000 - 4999
79
5000 - 5999
90
6000 - 6999
57
7000 - 7999
36
8000 - 8999
14
nd the median wage of a labour from the following table

Rs. 5,033.30

Step-by-step explanation:

Total employees = 15 + 32 + 65 + 79 + 90 + 57 + 36 + 14 = 388

Median position = 388/2 = 194

Median therefore lies in range where cumulative employees is 194:

= 15 + 32 + 65 + 79 = 191

Median therefore lies in range after 4,000 - 4,999 which is 5,000 - 5,999.

Median = Lower limit of median range + range of median range * (median position - cumulative frequency up to median range) / frequency of median range

= 5,000 + 999 * (388/2 - 191)/90

= 5,000 + 33.3

= Rs. 5,033.30

Option A.

Step-by-step explanation:

If graph of a polynomial intersects the x-axis at x=c, where c is a constant, then (x-c) is a factor of that polynomial.

We need to find the factor of the polynomial function f(x) graphed on the coordinate plane.

From the given graph it is clear that graph of f(x) intersects the x-axis at x=3. It means (x-3) is a factor of f(x).

Therefore, the correct option is A.