NCERT Exemplar Mathematics - Class 11>Chapter 15 - Statistics>EXERCISE>Q 43

EASY

11th CBSE

IMPORTANT

Earn 100

The effect of change in origin and change of scale in standard deviation of data is

Important Questions on Statistics

MEDIUM

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 15 - Statistics>EXERCISE>Q 9

The frequency distribution:

$x$	$A$	$2 A$	$3 A$	$4 A$	$5 A$	$6 A$
$f$	$2$	$1$	$1$	$1$	$1$	$1$

where $A$ is a positive integer, has a variance of $160$ . Determine the value of $A$ .

MEDIUM

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 15 - Statistics>EXERCISE>Q 10

For the frequency distribution:

$\begin{matrix} x & 2 & 3 & 4 & 5 & 6 & 7 \\ f & 4 & 9 & 16 & 14 & 11 & 6 \end{matrix}$

Find the standard deviation (round off to two decimal places).

HARD

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 15 - Statistics>EXERCISE>Q 17

Calculate the mean deviation about the median of the following data:

Class interval	$0 - 6$	$6 - 12$	$12 - 18$	$18 - 24$	$24 - 30$
Frequency	$4$	$5$	$3$	$6$	$2$

HARD

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 15 - Statistics>EXERCISE>Q 19

The $weights$ of coffee in $70$ jars is shown in the following table:

Weight (in $g$ )	Frequency
$200 - 201$	$13$
$201 - 202$	$27$
$202 - 203$	$18$
$203 - 204$	$10$
$204 - 205$	$1$
$205 - 206$	$1$

Determine variance and standard deviation of the above distribution.

EASY

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 15 - Statistics>EXERCISE>Q 29

Let

x_{1}, x_{2}, \dots, x_{n}

be

n

observations and

\bar{x}

be their arithmetic mean. The formula for the standard deviation is given by

EASY

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 15 - Statistics>EXERCISE>Q 44

The sum of the squares of the deviations of the values of the variable taken about their arithmetic mean is

EASY

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 15 - Statistics>EXERCISE>Q 45

The mean deviation of the data when measured from the median is?

EASY

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 15 - Statistics>EXERCISE>Q 46

The standard deviation to the mean deviation taken from the arithmetic mean is