Mode

Q.

If the mode of a data is $18$ and the mean is $24$, then median is

Q. Mode of the data $3,2,5,2,3,5,6,6,5,3,5,2,5$ is

1. $4$
2. $5$
3. $6$
4. $3$

Q. Positive integers from $1$ to $45,$ are palced in $5$ groups of $9$ each. Then highest possible average of the medians of these $5$ groups is

1. $33$
2. $29$
3. $27$
4. $31$

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.

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

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

Q. Find the mean and variance for the data:
$\begin{array}{cccccccc}{x}_i& 92& 93& 97& 98& 102& 104& 109\\ f_i& 3& 2& 3& 2& 6& 3& 3\end{array}$

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

Q. The mode of the given data
$\begin{array}{cc}\text{Wages(in Rs.)}& \text{No. of workers}\\ 0-5& 3\\ 5-10& 7\\ 10-15& 15\\ 15-20& 30\\ 20-25& 20\\ 25-30& 10\\ 30-35& 5\end{array}$
is

1. $12$
2. $15$
3. $18$
4. $20$

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.

The mode of $17,18,19,17,15,10,15,18,18$ and $15$ are_______ and________.

Q. The following number of goals were scored by a team in a series of $10$ matches $2,3,4,5,0,1,3,3,4,3.$
Find mean & median

1. $mean=3.2$ and $median=3$
2. $mean=2.8$ and $median=3$
3. $mean=2$ and $median=3$
4. $mean=2.8$ and $median=3.8$

Q. Positive integers from $1$ to $45,$ are placed in $5$ groups of $9$ each. Then highest possible average of the medians of these $5$ groups is

1. $31$
2. $33$
3. $29$
4. $27$

Q. The mode and median of the following data $21,23,25,23,21,24,22,20,23$ respectively, are

1. $23,23$
2. $21,23$
3. $25,21$
4. $23,21$

Q. If $\overline{x}=200,S.D=16,{SK}_p=0.3$, then the value of mode is,

1. $185.2$
2. $195.2$
3. $196.3$
4. $186.3$

Q. The marks in science of $80$ students of class X are given below. Find the mode of the marks obtained by the students in science

C.I.	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80	80-90	90-100
Freq.	3	5	16	12	13	20	5	4	1	1

1. $17.36$
2. $36.56$
3. $53.17$
4. $75.12$

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. $5,6,9,13,6,5,6,7,6,6,3$

1. $7$
2. $9$
3. 13
4. $6$

Q.

if z₁ and z₂ are complex numbers

5z₂ / 11z₁ is purely imaginary then find the mode of 2z₁+3z₂ / 2z₁-3z₂

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. The median and standard deviation (S.D) of a distribution are 20 and 4 respectively. If each item is increased by 2, then

1. median will remain same.
2. median will increase by 2.
3. standard deviation will remain same
4. standard deviation will increase by 2.

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

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

Q. The most frequent value in a data set is?

1. Median
2. Mode
3. Arithmetic mean
4. Geometric mean

Q. Mean of a set of observations is the value which:

1. divides observations into two equal parts
2. occurs most frequently
3. is the sum of the observations
4. is a representative of the whole group

Q. The data is $17,26,60,45,33,32,29,34$ and $56$. If $26$ is replaced by $62$, then the new median is

1. $17$
2. $33$
3. $29$
4. $34$

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

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