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Measures of Central Tendency
Calculate Median of the following series:
|
Wages Rate (in Rs.) |
No. of Workers |
|
Less than 10 Less than 20 Less than 30 Less than 40 Less than 50 Less than 60 Less than 70 Less than 80 |
15 35 60 84 96 127 198 250 |
Here, we have been given cumulative frequency of "less than". This frequency has been converted into simple frequency as under for calculating median.
Calculation of Median:
|
Wages (Rs.) |
Cumulative frequency |
Frequency |
|
0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 |
15 35 60 84 96 127 198 250 |
15-0= 15 35-15 = 20 60-35 = 25 84 - 60= 24 96 - 84 = 12 127-96 = 31 198-127 = 71 250-198 = 52 |
Sponsor Area
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.
What is arithmetic mean?
Sponsor Area
Sponsor Area