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Measures of Central Tendency
Calculate median of the following:
|
Marks |
No. of Students |
|
46-50 41-45 36-40 31-35 26-30 21-25 16-20 11-15 |
5 11 22 35 26 13 10 7 |
In the question the inclusive series has been given in the descending order. For calculating, it would be converted into an exclusives series in the ascending order.
Calculation of Median
|
Class Interval |
No. of Students |
Cumulative frequency (c.f.) |
|
10.5-15.5 15.5-20.5 20.5-25.5 25.5-30.5 30.5-35.5 35.5-40.5 40.5-45.5 45.5-50.5 |
7 10 13 26 35 22 11 5 |
7 17 30 50 91 113 124 129 |
|
N=129 |
Hence Median = 31.7 marks.
Sponsor Area
The following series relates to the daily income of workers employed in a firm. Compute the (a) highest income of lowest 50% workers, (6) minimum income earned by the top 25% and (c) maximum income earned by lowest 25% workers.
|
Daily Income (in Rs.) |
Number of Workers |
|
10-14 15-19 20-24 25-29 30-34 35-39 |
5 10 15 20 10 5 |
The following table gives production yield in kg. per hectare of wheat of 150 arms in a village. Calculate the mean, median and mode production yield.
|
Production yield (kg. per hectare) |
50-53 |
53-56 |
56-59 |
59-62 |
62-65 |
65-68 |
68-71 |
71-74 |
74-77 |
|
Number of farms |
3 |
8 |
14 |
30 |
36 |
28 |
16 |
10 |
5 |
The size of land holdings of 380 families in a village is given below. Find the median size of land holdings.
|
Size of Land Holdings (in acres) |
Number of families |
|
less than 100 100-200 200-300 300-400 400 and above |
40 89 148 64 39 |
What do you mean by 'Average'?
Pocket expenditures of 6 students are (Rs.) 6,12,18,24,30 and 36 respectively. Find out arithmetic mean.
Name various kinds of statistical averages?
Give formula of weighted averages.
Give formula of calculating arithmetic average of a continuous series.
What is arithmetic mean?
Define median.
Sponsor Area
Sponsor Area