CBSE Class 10-Mathematics: Chapter –14 Statistics Part 11
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Question 2:
Find the median of the following data:
Marks | Frequency |
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
X | F | C.F |
0-10 | 0 | 0 |
10-30 | 10 | 10 |
30-50 | 15 | 25 |
50-70 | 18 | 43 |
70-90 | 22 | 65 |
90-110 | 22 | 87 |
110-130 | 9 | 96 |
130-150 | 4 | 100 |
Now ,
which lies in 70-90 class
Median class
Here,
We know that Median,
Question 3:
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.
Wages (in Rupees) (X) | No. of workers (F) | C.F |
80-90 | 9 | 9 |
90-100 | 17 | 26 |
100-110 | 19 | 45 |
110-120 | 45 | 90 |
120-130 | 33 | 123 |
130-140 | 15 | 138 |
140-150 | 2 | 150 |
Now which lies in class
Median class
Here,
We know that