Relationship between Mean, Mode, and Median

Q.

The marks obtained by 10 students in a test are 60 , 72 , 64, 56 , 52 , 71 , 54 , 62 and 59. Find the median of the marks

1. 36

2. 65

3. 56

4. 55

Q.

The average marks of the students of class $8^{th}$ in Mathematics is 45. But most of the students were given 60 out of 100.The Median of the class would be:

1. 30

2. 40

3. 50

4. 60

Q.

The mean of $-1,0,1$ and $4$ is_______

Q.

Which of the following represents an empirical relationship between Median, Mode and Mean?

1. 3 Mode= Median + 2 Mean

2. Mode =3 Median - 2 Mean

3. 3 Mean= Median + Mode

4. 3 Median=Mode + 2Mean

Q.

If $\overline{x}$ is the mean of ten natural numbers $x_1,x_2,x_3,...,x_{10}$, show that:

$\left(x_1-\overline{x}\right)+\left(x_2-\overline{x}\right)+...+\left(x_{10}-\overline{x}\right)=0$

Q.

Find the arithmetic mean of the first 3 positive integers and first 3 negative integers ( do not include 0 )

1. 5

2. -1

3. -4

4. 0