Deviation in Values of Central Tendency by Multiplication

Q.

Find 3 rational numbers between 3 and 4 using method of averages. [3 MARKS]

Q. If each observation is multiplied by a 6, then mean, mode and median will also be ___________

1. multiplied by 6
2. subtracted by 6
3. divided by 6
4. remain same

Q. divided by $0.5$.

1. 55
2. 60
3. 64
4. None of these

Q. Calculate the mode of each of the following using the empirical formula.

Item (x)	5	7	9	12	14	17	19	21
Frequency (f)	6	5	3	6	5	3	2	4

Q. If the difference between mean and mode of a data is 10.5, then the difference between its median and mean is (where mode, median > mean)

1. 5.25
2. 21
3. 3.5
4. 7

Q. Match the following datasets with their respective means.

1. 5
2. 6
3. 18

Q.

Following are the weekly wages ( in ₹) of $10$ workers in a factory

$300,250,200,150,350,210,270,400,500,380$

Find,

(i) What is the minimum value of the wages given?

(ii) What is the maximum value of the wages given?

(iii)What is the range of the wages given?

(iv) What is the mean of the wages?

(v)How many workers are getting less than the mean value of the wages?

Q. If the difference between mean and mode of a data is 10.5, then the difference between its median and mean is (where mode, median > mean)

1. 5.25
2. 21
3. 3.5
4. 7

Q. Mean of 9 observations is 12, what would be the new mean after multiplication by 3 in all observations?

1. 12
2. can not be calulated
3. 48
4. 36

Q. The mean of $15$ observations is $32$. Find the resulting mean, if each observation is multiplied $2$.

1. 64
2. 55
3. 60
4. None of these

Q.

Find the average of the following data: 71 , 67 , 79 , 57

__

Q. If the first item is increased by $1$, second by $2$ and so on, then the new mean is

1. $\overline{X}+n$
2. $\overline{X}+\frac{n}{2}$
3. $\overline{X}+\frac{n+1}{2}$
4. None of these

Q. Mode of 9 obsevations is 8 and whole data is multiplied by 2. What would be the mode?

1. 10
2. 16
3. 8
4. 12

Q. The mean of the salary of 15 employees is ₹ 35000, The salary of all the 15 emplyees increased by 25% after annual increment. Find the new mean after the increment.

1. 35000
2. 43750
3. 26750
4. 26250

Q. If 3 is subtracted from each of the first 11 multiples of 5, then find the ratio of the new mean to the old mean.

1. 9 : 10
2. 5 : 4
3. 10 : 9
4. 9 : 11

Q. For which state the average number of candidates selected over the years is the maximum?

1. Delhi
2. H.P
3. U.P
4. Punjab

Q.

The mean of the following distribution is
$$\begin{array}{ccccc}{x}_i& \text{10}& \text{13}& \text{16}& \text{19}\\ f_i& \text{2}& \text{5}& \text{7}& \text{6}\end{array}$$

1. 15.2

2. 15.35

3. 15.55

4. 16