Mean Deviation
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Find the mean deviation about the mean for the data in Exercises 9 to 10 Income per day 0−100 100−200 200−300 300−400 400−500 500−600 600−700 700−800 Number of persons 4 8 9 10 7 5 4 3
The mean deviation of the variates 40, 62, 68, 76, 54 from their arithmetic mean is
9.4
10
11
10.4
The n arithmetic means between 20 and 80 are such that the first mean : last mean = 1 : 3. Find the value of n.
For ungrouped data, mean deviation about mean is =
Xi | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 |
fi | 2 | 1 | 12 | 29 | 25 | 12 | 10 | 4 | 5 |
Class: | 0-30 | 30-60 | 60-90 | 90-120 | 120-150 | 150-180 | 180-210 |
Frequency: | 9 | 17 | 43 | 82 | 81 | 44 | 24 |
Find the mean deviation about the mean for the following data:
Marks obtained10−2020−3030−4040−5050−6060−70Number of students8612527
- ∑ni=1|xi−a|n
- ∑ni=1xi−an
- ∑ni=1xi−a
- 0.24
- 0.4
- 2.5
- None of these
x : | 3 | 8 | 13 | 18 | 23 |
f : | 7 | 10 | 15 | 10 | 6 |
Height in cms | No. of children |
70-75 | 3 |
75-80 | 4 |
80-85 | 7 |
85-90 | 7 |
90-95 | 15 |
95-100 | 9 |
100-105 | 6 |
105-110 | 6 |
110-115 | 3 |
- standard deviation
- mean deviation
- 0
- None of these
- 9.4
- 10
- 10.4
- 11
(a) M.D. =
(b) M.D. =
(c) M.D. =
(d) M.D. =
The mean deviation about the mean for the following
5
3
1.47
6
(i) If wrong item is omitted
(ii) if it is replaced by 12.
(a) equal to that measured from another value
(b) maximum if all observations are positive
(c) greater than that measured from any other value.
(d) less than that measured from any other value.
if the mean deviation about the mean is 12, what does it mean?
what is mean deviation ?
(a)
(b)
(c)
(d)
- greater than 4.9
- greater than 2.5
- less than 3
- less than 1
The mean deviation about the mean for the following
12
15.66
18
14.33