Maths-

General

Easy

Question

# The median from the following data is

- 83.17
- 84.08
- 82.17
- 85.67

Hint:

### We are given a table. We have to find the median of the data. Median is the middle number of the data.

## The correct answer is: 84.08

### We will use the formula of median to find the answer.

From the data, we find the median class. It is range whose cumulative frequency is greater than the total cumulative frequency divided by 2 i.e N/2.

N is total cumulative frequency.

c.f is the cumulative frequency of a class previous to median class.

f is the frequency of the median class.

w is the width of the class.

l is the lower limit of the median class.

Before finding median we will find the cumulative frequency. The frequency of first term is added to the second, then that value is added to next frequency and so on.

Wages
No of workers
Cummulative

Frequency

50 - 59
15
15
60 - 69
40
40 + 15 = 55
70 - 79
50
55 + 50 = 105
80 - 89
60
105 + 60 = 165
90 - 99
45
165 + 45 = 210
100 - 109
40
210 + 40 = 250
110 - 119
15
250 + 15 = 265

So, the value of N here is 265

The frequency greater and closest to 132.5 is 165.

The median class is 80 - 89

l = 80

c.f = 105

f = 60

w = 10

Substituting all the values in the formula we get,

The value is closest to 84.08

So, the right option is 84.08

Frequency

For such questions, we should know the formula to find a median

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