Finding Median of Grouped Data When Class Intervals Are Not Given

Q. The point of intersection of medians divides each median in the ratio ___.​

1. 3 : 2
2. 2 : 1
3. 4 : 5
4. 1 : 2

Q.

In any triangle, the point of intersection of the medians divides each median in the ratio of _____ .

1. 3 : 2

2. 1 : 3

3. 3 : 1

4. 2 : 1

Q.

Find the fourth term

$2:3=28:x$

Q.

What is the middle term of the following 5 numbers which are in ascending order- a, b, c, d, e?

1. a

2. c

3. d and e

4. b

Q. There are 2 sets of numbers in increasing order. The first set has ‘n’ numbers where ‘n’ is an odd number. The 2nd set has ‘m’ numbers where ‘m’ is an even number. The medians for both of the sets respectively is ______.

1. Insufficient data
2. $\frac{n}{2}$${}^{th}$ term, $\text{average of}\left(\frac{m}{2}{)}^{th}and\right(\frac{m}{2}+1{)}^{th}\text{terms}$
3. $\frac{(n+1)}{2}$${}^{th}$ term, $\text{average of}\left(\frac{m}{2}{)}^{th}and\right(\frac{m}{2}+1{)}^{th}\text{terms}$
4. $\frac{n+1}{2}$${}^{th}$ term, $\left(\frac{m}{2}\right)$${}^{th}$ term

Q.

The below table shows that profit made by a group of shops in mall. Then the median is

$\begin{array}{ccccccc}\text{Profit per shop less than}\left(\%\right)& 10& 20& 30& 40& 50& 60\\ \text{No. of shops}& 12& 30& 57& 77& 94& 100\end{array}$

1. 27.4

2. 26.8

3. 31.2

4. 23.7

Q. $2,5,8,4,9,6,7$. What is the median for the following observations?

1. $6$
2. $8$
3. $4$
4. $4.5$

Q.

. If the mean of $x,x+3,x+5,x+7,x+10$ is $9$, the mean of the last three observations is:

1. $10\frac{1}{3}$

2. $11\frac{1}{3}$

3. $10\frac{2}{3}$

4. $11\frac{2}{3}$

Q. Using Euler's formula find the unknown.

Faces	?	5	20
Vertices	6	?	12
Edges	12	9	?