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प्रश्न
Which average would be suitable in the following case?
When the sum of absolute deviations from average is least.
उत्तर
When the sum of absolute deviations from average is the least, then mean could be used to calculate the average. This is an important mathematical property of arithmetic mean. The algebraic sum of the deviations of a set of n values from A.M. is 0.
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संबंधित प्रश्न
Which average would be suitable in the following case?
Average production in a factory per shift.
Which average would be suitable in the following case?
The average wage in an industrial concern.
Which average is affected most by the presence of extreme items?
The algebraic sum of deviation of a set of n values from A.M. is ______
The arithmetic mean is a positional value.
If the arithmetic mean of the data given below is 28, find the missing frequency?
|
Profit per retail shop (in Rs) |
0 - 10 |
10 - 20 |
20 - 30 |
30 - 40 |
40 - 50 |
50 - 60 |
|
Number of retail shops |
12 |
18 |
27 |
- |
17 |
6 |
The following information pertains to the daily income of 150 families. Calculate the arithmetic mean.
|
Income (in Rs) |
Number of families |
|
More than 75 |
150 |
|
More than 85 |
140 |
|
More than 95 |
115 |
|
More than 105 |
95 |
|
More than 115 |
70 |
|
More than 125 |
60 |
|
More than 135 |
40 |
|
More than 145 |
25 |
The following table gives the daily income of ten workers in a factory. Find the arithmetic mean.
|
Workers |
A |
B |
C |
D |
E |
F |
G |
H |
I |
J |
|
Daily Income (in Rs) |
120 |
150 |
180 |
200 |
250 |
300 |
220 |
350 |
370 |
260 |
The following table gives production yield in kg. per hectare of wheat of 150 farms in a village. Calculate the mean values.
| 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 |
