Mode

Q. maximum value of Mod X - 3 - Mod x minus 2 whole mode is a and minimum value of Mod X - 1 + X - 2 is B

Q. The number of telephone calls received at an exchange in 245 successive one-minute intervals are shown in the following frequency distribution:

Number of calls	0	1	2	3	4	5	6	7
Frequency	14	21	25	43	51	40	39	12

Compute the mean deviation about median.

Q. 15. Find the binomial distribution for which the mean is 4 and variance is 3

Q. For the following data set:
$2,5,9,3,7,12,15,10,9$, which among the following is correct

1. The smallest central tendency is mean
2. The smallest central tendency is mode
3. The smallest central tendency is median
4. all central tendencies (mean, median, mode) are equal

Q. Compute the mean deviation from the median of the following distribution:

Class	0-10	10-20	20-30	30-40	40-50
Frequency	5	10	20	5	10

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

Age:	16-20	21-25	26-30	31-35	36-40	41-45	46-50	51-55
Number of persons	5	6	12	14	26	12	16	9

Q. Find the mean deviation from the mean and from median of the following distribution:

Marks	0-10	10-20	20-30	30-40	40-50
No. of students	5	8	15	16	6

Q. The correct statement concerning the following data set:
$2,5,9,3,4,7,3,8,11,15,10$ is

1. $\text{mode + mean = median}$
2. $\text{mode > median}$
3. $3\text{mode - median > mean}$
4. $\text{mean = median}$

Q. Calculate the mean, median and standard deviation of the following distribution:

Class-interval:	31-35	36-40	41-45	46-50	51-55	56-60	61-65	66-70
Frequency:	2	3	8	12	16	5	2	3

Q.

Calculate the mean deviation about the median of the following frequency distribution:

$x_i$	$5$	$7$	$9$	$11$	$13$	$15$	$17$
$f_i$	$2$	$4$	$6$	$8$	$10$	$12$	$8$

Q. Find the mode of the following data ___
$\begin{array}{cc}{x}_i& f_i\left(frequency\right)\\ 2& 2\\ 5& 5\\ 9& 9\\ 13& 21\\ 17& 17\\ 21& 13\end{array}$

1. 21
2. 2
3. 5
4. 13

Q.

The weights (in kg.) of $15$ students of a class are$\text{:38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47}$

(i) Find the mode and median of this data. (ii) Is there more than one mode?

Q. Calculate the mean deviation from the median of the following frequency distribution:

Heights in inches	58	59	60	61	62	63	64	65	66
No. of students	15	20	32	35	35	22	20	10	8

Q. Find the mean deviation from the median for the following data:
(i)

xi	15	21	27	30	35
fi	3	5	6	7	8

(ii)

xi	74	89	42	54	91	94	35
fi	20	12	2	4	5	3	4

Q. The age distribution of 100 life-insurance policy holders is as follows:

Age (on nearest birth day)	17-19.5	20-25.5	26-35.5	36-40.5	41-50.5	51-55.5	56-60.5	61-70.5
No. of persons	5	16	12	26	14	12	6	5

Calculate the mean deviation from the median age.

Q. Find the mode of 2, 7, 6, 2, 3, 4, 9, 2 ___

1. 2

Q. What is the mode of the following data?
$$\begin{array}{cc}\text{Value}& \text{Frequency}\\ 23& 2\\ 45& 3\\ 49& 5\\ 53& 16\\ 60& 14\\ 67& 13\\ 70& 7\end{array}$$

1. 49
2. 53
3. 60
4. 23

Q. What is the mode of the following data?
$$\begin{array}{cc}\text{Value}& \text{Frequency}\\ 23& 2\\ 45& 3\\ 49& 5\\ 53& 16\\ 60& 14\\ 67& 13\\ 70& 7\end{array}$$

1. 49
2. 53
3. 60
4. 23

Q. Find the standard deviation for the following distribution:

x :	4.5	14.5	24.5	34.5	44.5	54.5	64.5
f :	1	5	12	22	17	9	4

Q. For a certain frequency distribution, the values of Mean and Mode are $54.6$ and $54$ respectively. Find the value of median.

1. $54.2$
2. $54.3$
3. $54.4$
4. $54.1$

Q. What will be the mode of the following data - -2, 3, -2, 7, 9, 16, 4, -2, 3, 6, 3

1. -2 & 3
2. There is no mode.
3. 3
4. -2

Q. Mode of the distribution

$\begin{array}{cccccc}\text{Marks}& 4& 5& 6& 7& 8\\ \text{No. of students}& 3& 5& 10& 6& 1\end{array}$

1. $6$
2. $10$
3. $8$
4. $4$

Q. Calculate the mean deviation of the following income groups of five and seven members from their medians:

I Income in Rs.	II Income in Rs.
4000 4200 4400 4600 4800	300 4000 4200 4400 4600 4800 5800

Q.

A variable takes value x with frequency ${}^{n+x-1}{C}_x,x$ = 0, 1, 2, . . . n. The mode of the variable is ___.

Q.

One die of red colour, one of white colour and one of blue colour are placed in a bag. One die is selected at random and rolled, its colour and the number on its uppermost face is noted. Describe the sample space.

Q.

Find the mean deviation about the median for the data

36, 72, 46, 42, 60, 45, 53, 46, 51, 49

Q. The lengths (in cm) of 10 rods in a shop are given below:
40.0, 52.3, 55.2, 72.9, 52.8, 79.0, 32.5, 15.2, 27.9, 30.2
(i) Find mean deviation from median
(ii) Find mean deviation from the mean also.