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Measures of Central Tendency
(a) What will you do under following situation to calculate mode when:
(i) class intervals are inclusive,
(ii) when class intervals are unequal.
(b) Calculate mode from the following frequency distribution:
|
Class Interval |
20-24 |
25-29 |
30-34 |
35-39 |
40-44 |
45-49 |
50-54 |
55-59 |
|
Frequency |
3 |
5 |
10 |
20 |
12 |
6 |
3 |
1 |
(a) (i) If class interval is inclusive, convert it in exclusive class interval for calculating mode.
(ii) When class intervals are unequal then make them equal for calculating mode.
(b) Converted Frequency Distribution:
|
Class Interval |
19.5-24.5 |
24.5-29.5 |
29.5-34.5 |
34.5-39.5 |
39.5-44.5 |
44.5-49.5 |
49.5-54 |
554.5-59.5 |
|
Frequency |
3 |
5 |
10 |
20 |
12 |
6 |
3 |
1 |
By inspection we come to know that Modal Class is 34.5-39.5 as it has highest frequency.
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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.
Define mode.
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