Relation between Mean of Deviations and Mean

Q. The mean deviation from the mean for the set of observations; – 1, 0, 4 is:

1. less than 3
2. less than 1
3. greater than 2.5
4. greater than 4.9

Q. For a given data set, the mean of the deviations is $\frac{120}{140}$ and the assumed mean is 25. Find the mean.

1. 24.14
2. 0.03
3. 29.17
4. 25.86

Q. If the coefficient of variation and standard deviation of a distribution are 2 and 0.4 respectively, then mean of the distribution is:

1. 40
2. 20
3. 10
4. 8

Q.

If the sum of the deviations of a set of values $x_1,x_2,x_3,\dots ,x_n$ measured from 50 is -10 and the sum of deviations of the values from 46 is 70, then the mean is _____.

1. 49

2. 49.5

3. 49.75

4. 50

Q. If the value of each entry of a given data is increased by 5, then the mean _____.

1. is increased to 5 times of original
2. is decreased by 5
3. is increased by 5
4. remains the same

Q. In the assumed mean method, if A is the assumed mean, then deviation $d_i$ is :

1. 
2. 
3. 
4.