CBSE Class 10-Mathematics: Chapter –14 Statistics Part 13
Doorsteptutor material for CBSE is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.
Question 6:
Find the median of the following frequency distribution:
Wages (in Rs.) | |||||
No. of Labourer |
Answer:
We have
Wages (in Rs.) | No. of labourer (f) | C.F |
200-300 | 3 | 3 |
300-400 | 5 | 8 |
400-500 | 20 | 28 |
500-600 | 10 | 38 |
600-700 | 6 | 44 |
Now and this lies in class.
Median class
Here,
We know that
Question 7:
The following tables gives production yield per hectare of wheat of farms of village:
Production yield | ||||||
No. of farms | 2 | 8 | 12 | 24 | 38 | 16 |
Change the distribution to a more than type distribution and draw its O give.
Answer:
More than type O give
Production yield (Kg/ha) | C.F |
More than or equal to 50 | |
More than or equal to 55 | |
More than or equal to 60 | |
More than or equal to 65 | |
More than or equal to 70 | |
More than or equal to 75 |
Now, draw the O given by plotting the points
Plotting the Points
Question 8:
The A.M of the following distribution is . Determine the value of P.
Classes | |||||
Frequency |
Answer:
We have
Class Interval | Mid-value | Frequency | |
0-20 | 10 | 8 | 80 |
20-40 | 30 | 15 | 450 |
40-60 | 50 | 20 | 1000 |
60-80 | 70 | P | 70P |
80-100 | 90 | 5 | 450 |
Since Mean,
Thus,