(a) Can we find out the Median from thefollowing data? If yes, write the reason
ID: 2954513 • Letter: #
Question
(a) Can we find out the Median from thefollowing data? If yes, write the reason (No need to calculate themedian).
Wages of workers in a factory
Monthly Income (Rs.)
NO. of Workers
Less than 2000/-
100
2000-2999/-
300
3000-3999/-
250
4000-4999/-
50
5000 & above
1200
(b) Compute Mean, Median and Mode fromthe following data.
No. of students
1
2
3
5
6
f
15
10
5
15
5
Wages of workers in a factory
Monthly Income (Rs.)
NO. of Workers
Less than 2000/-
100
2000-2999/-
300
3000-3999/-
250
4000-4999/-
50
5000 & above
1200
Explanation / Answer
(a) Can we find out theMedian from the followingdata? If yes, write the reason (No need to calculate the median).
Wages of workers in a factory
Monthly Income (Rs.)
NO. of Workers
Less than 2000/-
100
2000-2999/-
300
3000-3999/-
250
4000-4999/-
50
5000 & above
1200
Answer:
Yes, tocalculate median, we need class interval and cumulative frequencies,whichcomes from class boundaries and frequencies respectively. Then we willfind thefactor h/2 in cumulative frequency column, that will be our medianclass, thenwe apply the final formula to compute the median.
(b) Compute Mean,Median and Mode from thefollowing data.
No. of students
1
2
3
5
6
f
15
10
5
15
5
Answer:
Mean:
No. of students
Wages of workers in a factory
Monthly Income (Rs.)
NO. of Workers
Less than 2000/-
100
2000-2999/-
300
3000-3999/-
250
4000-4999/-
50
5000 & above
1200
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