Median

Q. Question 23
Median of the following numbers
4, 4, 5, 7, 6, 7, 7, 12, 3 is:

A) 4
B) 5
C) 6
D) 7

Q. Find the median of the observations, 59, 75, 68, 70, 74, 75, 80.

Q.

The heights (in cm) of 9 students of a class are
148, 144, 152, 155, 160, 147, 150, 149, 145.
Find the median height.

Q. Question 21
The median of the data 78, 56, 22, 34, 45, 54, 39, 68, 54 and 84 is:

A) 45
B) 49.5
C) 54
D) 56​​​​​​​

Q. If the mean of 10, 12, 18, 13, P and 17 is 15, find the value of P.

1. 19
2. 20
3. 21
4. 22

Q.

Which of the following is/are a measure of central tendency?

1. Frequency

2. Median

3. Mean

4. Class Limit

Q.

The weight of 10 students (in kg) are
55, 40, 35, 52, 60, 38, 36, 45, 31, 44.
The median weight is
(a) 40 kg
(b) 41 kg
(c) 42 kg
(d) 44 kg

Q. _______ is the value of middle most observation(s).

1. Mean
2. Median
3. Range
4. Mode

Q.

The ages (in years) of 10 teachers in a school are
32, 44, 53, 47, 37, 54, 34, 36, 40, 50.
Find the median age.

Q.

The median of the data arranged in ascending order 8, 9, 12, 18,
(x+2), (x+4), 30, 31, 34, 39 is 24. The value of x is
(a) 22
(b) 21
(c) 20
(d) 24

Q.

Find the median of:

First ten even numbers

Q. The mean marks (out of 100) of boys and girls in an examination are 70 and 73 respectively. If the mean marks of all the students in that examination is 71, find the ratio of the nu!ber of boys to the number of girls

Q.

Let $X=\left\{x\in N:1\le x\le 17\right\}$ and $Y=\left\{ax+b:x\in X\text{and}a,b\in R,a>0\right\}$. If mean and variance of elements of $Y$ are$17$ and $216$ respectively then $a+b$is equal to:

1. $-27$

2. $7$

3. $-7$

4. $9$

Q.

Find the median of the following data:

15, 6, 16, 8, 22, 21, 9, 18, 25

Q.

The weights (in kg) of 8 children are
13.4, 10.6, 12.7, 17.2, 14.3, 15, 16.5, 9.8.
Find the median weight.

Q.

Question 14(iii)
50 students enter for a school javelin throw competition. The distance (in metres) thrown are recorded below :

$\begin{array}{cccccc}Distance\left(inm\right)& 0-20& 20-40& 40-60& 60-80& 80-100\\ Numberofstudents& 6& 11& 17& 12& 4\end{array}$


Calculate the median distance by using the formula for the median.

Q.

The runs scored by 11 members of a cricket team are
15, 34, 56, 27, 43, 29, 31, 13, 50, 20, 0.
The median score is
(a) 27
(b) 29
(c) 31
(d) 20

Q.

If 10, 13, 15, 18, x+1, x+3, 30, 32, 35, 41 are ten observations in an ascending order with median 24, find the value of x.

Q.

Q.

The numbers 42, 43, 44, 44, (2x+3), 45, 45, 46, 47 have been arranged in an ascending order and their median is 45. Find the value of x. Hence, find the mode of the above data.

Q.

Q. There are four unknown numbers. The mean of the first two numbers is 4 and the mean of the first three is 9. The mean of all four numbers is 15, if one of the four numbers is 2, find the other 3 numbers

Q.

The median of the following data :

0, 2, 2, 2, -3, 5, -1, 5, 5, -3, 6, 6, 5, 6 is

1. 0

2. -1.5

3. 2

4. 3.5

Q.

If the median of 33, 28, 20, 25, 34, x is 29, find the maximum possible value of x.

Q.

Give one example of a situation in which .

(i) the mean is an appropriate measure of central tendency.

Q.

If the ratio of mode and median of a certain data is 6:5, then find the ratio of its mean and median.

Q.

The marks of 15 students in an examination are
25, 19, 17, 24, 23, 29, 31, 40, 19, 20, 22, 26, 17, 35, 21.
Find the median score.

Q.

The mean of 5 observations is 12. If the mean of the first 3 is 10, then find the mean of the other two.

1. 10

2. 15

3. 5

4. 9

Q.

Find median

Class interval 0-2. 2-4 4-6 6-8 8-10 10-12 12-14

Plants. 1. 2. 1. 5. 6. 2. 3

Q.

Find the median of the data
46, 41, 77, 58, 35, 64, 87, 92, 33, 55, 90.
In the above data, if 41 and 55 are replaced by 61 and 75 respectively, what will be the new median?