Median

Q. How to find median

Q.

Which of the following cannot be determined graphically

(A) mean

(B) median

(C) mode

(D) None of these

1. mean

2. median

3. mode

4. None of these

Q. In a triangle, the line segment joining a vertex to the midpoint of the opposite side is called as .

1. altitude
2. median
3. angle bisector

Q.

The mean of 12 numbers is 7 .if 2 is added to each number, what will be the new mean?

Q.

Product of $\frac{7}{6}$ and reciprocal of $\frac{11}{66}$ is __________.

1. $7$

2. $\frac{1}{6}$

3. $\frac{7}{11}$

4. $\frac{7}{6}$

Q. Question 66
Find the median of first nine even natural numbers.

Q.

To find the median, the data should be arranged in ascending or descending order.

1. The most common data in a data set

2. The average value of data set

Q. The median of a triangle divides it into two triangles of equal areas. State True or False.

1. Statement 1 is true and Statement 2 is false.

2. Both the statements are true and Statement 1 is a particular case of Statement 2.

Q.

When two vectors are perpendicular their dot product is

Q.

(a) Find the median of the data: 24, 36, 46, 17, 18, 25, 35
(b) In a math quiz competition, Aditi's math quiz scores were 90, 92, 93, 88, 95, 88, 97, 87, and 98. What was the median quiz score?

Q.

What is the difference between median, altitude, angle bisector and perpendicular bisector? Define.

Q. Question 1
The scores in mathematics test (out of 25) of students is as follows:
19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20
Find the mode and median of this data. Are they same?

Q. the mean weight of students in a class is 46 kg.the mean weight of boys is 50 kg and that of girls is 40 kg .the ratio of the boys is to girls is how much

Q. What is the median of first ten odd numbers?

Q. The runs scored by 11 members of a cricket team are:

15, 29, 43, 13, 31, 50, 20, 0, 27, 56, 34

Find the median score. [2 MARKS]

Q.

The median in the numbers 19, 21, 18, 17, 18, 22, 46 is

1. 12

2. 22

3. 32

4. 19

Q.

Numbers $50,42,35,2x+10,2x-8,12,11,8$ are written descending order and their median is 25, the value of $x$ is:

1. 34

2. 16

3. 12

4. 13.5

Q.

Question 3
Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.

Q.

If $P$ is any point within a $∆ABC,$ then $\mathrm{PA}+\mathrm{CP}$ is equal to?

1. $AC+CB$

2. $BC+BA$

3. $CB+AB$

4. $CB+BA$

Q.

Ten observations 6, 14, 15, 17, x+1, 2x-13, 30, 32, 34, 43 are written in an ascending order. The median of data is 24. Find the value of x.

1. 17

2. 20.33

3. 30

4. 20

Q. Which is the point where three medians intersect

Q.

To find the median we want to arrange data in ascending or desending order and the middle number is the median, if the no.of number are even we won't get middle number then what should we do?

Q.

Median of 11, 10, 12, 4, 9, 18, 6 is ______ .

1. 11

2. 10

3. 4

4. 9

Q. Question 58
Find the median of the given data, if the mean is 4.5.
5, 7, 7, 8, x, 5, 4, 3, 1, 2

Q. The daily wages (in Rs) of 15 workers in a factory are as follows:
200, 180, 150, 150, 130, 180, 180, 200, 150, 130, 180, 180, 200, 150, 180

1. 170
2. 169.39
3. 169
4. 169.33

Q.

Find the median of the following data set.

12 65 3 8 23 64 19 53 0 24 57 15 39

1. 23
2. 19
3. 24
4. 39

Q. The mean of three distinct natural numbers is 40. If the smallest number is 19, then what could be largest possible number of remaining two numbers?

1. 81
2. 100
3. 71
4. 140

Q. Given below is the concentration of SO₂ in air(in ppm = parts per million) in 30 localities:
$\begin{array}{cc}S{O}_2\text{concentration (in ppm)}& \text{Number of localities}\\ 0.00-0.04& 4\\ 0.04-0.08& 9\\ 0.08-0.12& 9\\ 0.12-0.16& 2\\ 0.16-0.20& 4\\ 0.20-0.24& 2\end{array}$
Find the mean of $S{O}_2$ concentration using assumed - mean method.

1. 0.144
2. 0.16
3. 0.1
4. 0.122

Q. The number of times a particular observation occurs is called

1. mean
2. range
3. mode
4. frequency

Q. If each observation of the data is increased by 3, then their mean

1. is increased by 3
2. is increased by 6
3. does not increase
4. is decreased by 3