CBSE Class 10-Mathematics: Chapter – 14 Statistics Part 11 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 2:

Find the median of the following data:

The Median of the Following Data
MarksFrequency
Less than
Less than
Less than
Less than
Less than
Less than
Less than
Less than

Answer:

First of all, we shall change cumulating series into simple series.

We have

First of All We Shall Change Cumulating Series
XFC. F
0 - 1000
10 - 301010
30 - 501525
50 - 701843
70 - 902265
90 - 1102287
110 - 130996
130 - 1504100

Now ,

which lies in 70 - 90 class

Median class

Here,

We know that Median,

Question 3:

Find the median of the following data.

Find the Median of the Following Data
Wages (in rupees)No. of workers
More than 150
More than 140
More than 130
More than 120
More than 110
More than 100
More than 90
More than 80

Answer:

First of all, we shall find simple frequencies.

First of All We Shall Find Simple Frequencies
Wages (in Rupees) (X)No. of workers (F)C. F
80 - 9099
90 - 1001726
100 - 1101945
110 - 1204590
120 - 13033123
130 - 14015138
140 - 1502150

Now which lies in class

Median class

Here,

We know that