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Measures of Central Tendency
Calculate the median by using less than and more than ogive:
|
Marks |
0-5 |
5-10 |
10-15 |
15-20 |
20-25 |
25-30 |
30-35 |
35-40 |
|
Number of Students |
4 |
6 |
10 |
10 |
25 |
22 |
18 |
5 |
Calculation of the Median less than and more than ogive :
|
Marks |
cf. |
Marks |
c.f. |
||
|
less than 5 less than 10 less than 15 less than 20 less than 25 less than 30 less than 35 less than 40 |
4 10 20 30 55 77 95 100 |
more than 0 more than 5 more than 10 more than 15 more than 20 more than 25 more than 30 more than 35 more than 40 |
100 96 90 80 70 45 23 5 0 |
||
Less than and more than ogive :
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Following information pertains to the daily income of 150 families. Calculate the arithmetic means.
|
Income (in Rs.) |
No. of Families |
|
More than 75 More than 85 More than 95 More than 105 More than 115 More than 125 More than 135 More than 145 |
150 140 115 95 70 60 40 25 |
If the arithmetic mean of the data given below is 28, find (a) the missing frequency and (b) the median of the series.
|
Profit per retail shop (in Rs.) |
Number of retail shops |
|
0-10 10-20 20-30 30-40 40-50 50-60 |
12 18 27 – 17 6 |
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.
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