List of top Mathematics Questions on Mean Deviation

The mean deviation about the mean for the data: $5, 6, 14, 15$ is

Find the mean deviation about the mean for the data set: 1, 3, 5, 7, \dots, 101

Let the mean and variance of the observations $ 2, 3, 3, 4, 5, 7, a, b $ be 4 and 2, respectively. Then, the mean deviation about the mode of the observation is:

If the variance of the data $ 2,3,5,8,12 $ is $ \sigma^2 $ and the mean deviation from the median for this data is $ M $, then $ \sigma^2 - M $ is:

Let $a, b, c \in \mathbb{N}$ and $a<b<c$. Let the mean, the mean deviation about the mean and the variance of the 5 observations $9, 25, a, b, c$ be $18, 4$ and $\frac{136}{5}$, respectively. Then $2a + b - c$ is equal to _______.

The variance of 20 observations is 5. If each observation is multiplied by 2, then the new variance of the resulting observation is:

The mean of $ n $ items is $ X $. If the first item is increased by 1, second by 2, and so on, the new mean is:

Let the mean and standard deviation of marks of class A of $100$ students be respectively $40$ and $\alpha$ (> 0 ), and the mean and standard deviation of marks of class B of $n$ students be respectively $55$ and 30 $-\alpha$. If the mean and variance of the marks of the combined class of $100+ n$ students are respectively $50$ and $350$ , then the sum of variances of classes $A$ and $B$ is :

A coin is biased so that the head is 3 times as likely to occur as tail. This coin is tossed until a head or three tails occur. If X denotes the number of tosses of the coin, then the mean of X is

Let m be the mean and σ be the standard deviation of the distribution

xi	0	1	2	3	4	5
fi	k+2	2k	k²-1	k²-1	k²+1	k-3

where ∑f_i = 62. if [x] denotes the greatest integer ≤ x, then [μ² + σ²] is equal

Let the mean and variance of the frequency distribution

x_i	2	4	6	8	10	12	14	16
f_i	4	4	α	15	8	β	4	5

are 9 and 15.08 respectively, then the value of α²+β²-αβ is ____.

A fair n (n>1) faces die is rolled repeatedly until a number less than n appears. If the mean of the number of tosses required is $\frac{n}{9}$, then n is equal to_____.

If the mean deviation about the mean of the numbers 1, 2, 3, …. n, where n is odd, is $\frac{5(n + 1)}{n}$, then n is equal to ______.

The mean and variance of 7 observations are 8 and $16,$ respectively. If five observations are $2,4,10,12,14,$ then the absolute difference of the remaining two observations is :

The mean of five observations is $5$ and their variance is $9.20.$ If three of the given five observations are $1, 3$ and $8$, then a ratio of other two observations is :

The mean and the median of the following ten numbers in increasing order $10, 22, 26, 29, 34, x 42, 67, 70,\, y$ are $42$ and $35$ respectively, then $\frac{y}{x}$ is equal to :

The mean of $5$ observations is $5$ and their variance is $124$. If three of the observations are $1, 2$ and $6$ ; then the mean deviation from the mean of the data is :

The mean and variance of $5$ observations are $5$ and $8$ respectively If $3$ observations are $1,3,5$, then the sum of cubes of the remaining two observations is

Find the mean deviation about the mean for the data

$x_i$	10	30	50	70	90
$f_i$	4	24	28	16	8

Find the mean deviation about the median for the data.

$x_i$	5	7	9	10	12	15
$f_i$	8	6	2	2	2	6

Find the mean deviation about the median for the data

x_i	15	21	27	30	35
f_i	3	5	6	7	8

Find the mean deviation about the mean for the data.

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

Find the mean deviation about the mean for the data

Height in cms	95-105	105-115	115-125	125-135	135-145	145-155
Number of boys	9	13	26	30	12	10

Find the mean deviation about median for the following data

Marks	0-10	10-20	20-30	30-40	40-50	50-60
Number of Girls	6	8	14	16	4	2

Calculate the mean deviation about median age for the age distribution of 100 persons given below

Age (in years)	16-20	21-25	26-30	31-35	36-40	41-45	46-50	51-55
Number	5	6	12	14	26	12	16	9

\(x_i\)	10	30	50	70	90
\(f_i\)	4	24	28	16	8

\(x_i\)	5	7	9	10	12	15
\(f_i\)	8	6	2	2	2	6