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Measures Of Central Tendency
Comment on whether the following statements are True or False.
A.
The sum of deviation of items from median is zero.
B.
An average alone is not enough to compare series.
C.
Arithmetic mean is a positional value.
D.
Upper quartile is the lowest value of top 25% of items.
E.
Median is unduly affected by extreme observations.
B. True
C. False
D. True
E. False
Some More Questions From Measures of Central Tendency Chapter
The most suitable average for qualitative measurement is:
Which average is affect most by the presence of extreme items?
The algebraic sun of deviation of a set of n values from A.M. is =:
Comment on whether the following statements are True or False.
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
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
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
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
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
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'?
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