What is the standard deviation of $7, 9, 11, 13, 15$ ?

2.4

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2.5

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2.7

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2.8

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Solution

The correct option is A $2.4$
Given numbers are $7, 9, 11, 13, 15$
Mean of given numbers $= \frac{7 + 9 + 11 + 13 + 15}{5} = 11$
Standard deviation $= \frac{| 7 - 11 | + | 9 - 11 | + | 11 - 11 | + | 13 - 11 | + | 15 - 11 |}{5} = 2.4$
Option A is true

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Similar questions

Q. The weight of new born babies (inn kg) in a hospital on a particular day are as follows
2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4
(a) How many babies were born on that day?
(b) How many babies weigh below 2.5 kg?
(c) How many babies weigh more than 2.8 kg?
(D) How many babies weigh 2.8?

The weights of newborn babies (in kg) in a hospital on a particular day are as follows:
$2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4$
(i) Rearrange the weights in descending order.
(ii) Determine the highest weight.
(iii) Determine the lowest weight.
(iv) Determine the range.
(v) How many babies weigh below 2.5 kg?

	A	A	B	B	C	C	D	D	E	E
	M	S	M	S	M	S	M	S	M	S
$2006$	$2.8$	$1.3$	$3.3$	$2.2$	$2.6$	$1.7$	$3.0$	$2.2$	$1.9$	$1.4$
$2007$	$3.2$	$2.0$	$2.4$	$1.6$	$2.2$	$1.5$	$2.5$	$1.9$	$2.0$	$1.7$
$2008$	$1.9$	$0.9$	$2.9$	$1.6$	$2.1$	$1.0$	$2.3$	$1.5$	$1.6$	$1.1$
$2009$	$1.0$	$0.4$	$2.4$	$1.3$	$2.8$	$1.4$	$2.1$	$1.2$	$3.2$	$2.5$
$2010$	$2.5$	$1.5$	$2.3$	$1.2$	$2.6$	$2.1$	$1.8$	$1.1$	$3.1$	$2.6$

What is the total number of units manufactured by company C over all the years together?

If the sum of the squares of deviations for 10 observations taken from their mean is 2.5, then write thevalue of standard deviation.

Q. If the coefficient of variation of a collection of data is

45

and its standard deviation is

2.5

, then find the mean

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What is the standard deviation of 7,9,11,13,15?

The correct option is A 2.4Given numbers are 7,9,11,13,15Mean of given numbers =7+9+11+13+155=11Standard deviation=|7−11|+|9−11|+|11−11|+|13−11|+|15−11|5=2.4Option A is true

What is the standard deviation of $7, 9, 11, 13, 15$ ?

The correct option is A $2.4$
Given numbers are $7, 9, 11, 13, 15$
Mean of given numbers $= \frac{7 + 9 + 11 + 13 + 15}{5} = 11$
Standard deviation $= \frac{| 7 - 11 | + | 9 - 11 | + | 11 - 11 | + | 13 - 11 | + | 15 - 11 |}{5} = 2.4$
Option A is true