### Mathematics - Statistics

#### Question - 1

The one which is the measure of the central tendency, is

• A mode
• B range
• C mean deviation
• D standard deviation

#### Question - 2

The measure of central tendency which takes into account all the data items is

• A mean
• B median
• C mode
• D quartiles

#### Question - 3

Which one of the following is not the measure of central tendency

• A median
• B mode
• C $Q_{1}$
• D range

#### Question - 4

The median of a given data distribution can be determined graphically by

• A frequncy polygon
• B pie-chart
• C histogram
• D ogive

#### Question - 5

The only measure of the central tendency that can't be determined graphically, is

• A mean
• B median
• C mode
• D harmonic mean

#### Question - 6

In a moderately symmetrical data distribution

• A mode = 2 median - mean
• B mode = 3 median -2 mean
• C mode = 2 mean -3 median
• D mode = 3 mean -2 median

#### Question - 7

The mean of variate x is $\overline{x}$.  Then mean of the variate $x+10\over k$, is

• A $\overline{x}\over k$
• B $\overline{x}+10\over k$
• C ${\overline{x} \over k} +10$
• D $k\ \overline{x}+10$

#### Question - 8

The mean of first n natural numbers, is

• A $\frac { n }{ 2 }$
• B $\frac { n\left( n+1 \right) }{ 2 }$
• C $\frac { \left( n+1 \right) }{ 2 }$
• D $\frac { \left( n+1 \right) }{ 2 }$

#### Question - 9

The mean of squares of first n natural numbers, is

• A $\frac { \left( n+1 \right) }{ 2 }$
• B $\frac { n }{ 2 }$
• C $\frac { 2n+1 }{ 6 }$
• D $\frac { \left( n+1 \right) \left( 2n+1 \right) }{ 6 }$

#### Question - 10

If a variable takes values 0,1,2,3,......,n with frequencies as nC0, nC1, nC2,........nCrespectively, then mean of the given data is,

• A $\frac { n }{ 2 }$
• B $\frac { n\left( n+1 \right) }{ 2 }$
• C $\frac { n }{ 4 }$
• D NONE OF THESE