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Measures of Central Tendency
With the help of following data calculate mode:
|
Class Interval |
0-5 |
5-10 |
10-15 |
15-20 |
20-25 |
25-30 |
30-35 |
35-40 |
40-45 |
|
Frequency |
6 |
20 |
32 |
10 |
25 |
30 |
28 |
20 |
15 |
By inspection we come to know that 10 -15 class interval is Modal class, because it has the highest frequency (32). But the frequencies immediately after this class interval the frequency is very low. Hence the modal class will be determined with the help of grouping table.
Grouping Table
Analysis Table
|
Col. No. |
0-5 |
5-10 |
10-15 |
15-20 |
20-25 |
25-30 |
30-35 |
35-40 |
40-45 |
|
I II III IV V VI |
✓ |
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✓ |
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✓ |
✓ |
✓ |
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✓ |
✓ |
✓ |
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Total |
— |
— |
1 |
1 |
3 |
5 |
3 |
— |
— |
From the table we come to know that modal class is 25-30. Now we shall calculate the mode with the help of following formula :
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