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Measures of Central Tendency
Write down the ssteps involved in the calculation of median in continuous series.
Steps involved : (i) Arrange the series either in ascending or descending order.
(ii) If inclusive series is given convert into exclusive series.
(iii) Convert the simple frequencies into cumulative frequencies.
(iv) After that find the size of (N/2) th item.
(v) Determine the median class in which median lies.
(vi) Apply the following formula :
M = Median.
L1 = Lower limit of median group.
i = Difference between lower and upper limits of median group.
f = Frequency of median group.
m = Median number.
c = Cumulative frequency of the group preceding the group.
If the series is arranged in descending order, then the following formula will be applied :
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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.
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