Question

If the points of inflexion of a normal curve are 40 and 60 respectively then its mean deviation is

Answer 1

Mean = 50

Step-by-step explanation:

the points of inflexion of a normal curve are are at 1 Standard deviation away from Mean

points of inflexion of a normal curve  = Mean  ±  Standard Deviation

Mean + Standard Deviation = 60

Mean - Standard Deviation = 40

Adding Both =>  2 * Mean = 100

=> Mean = 50

50 + Standard Deviation = 60

=> Standard Deviation = 10

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Adding Both =>  2 * Mean = 100

=> Mean = 50

50 + Standard Deviation = 60

=> Standard Deviation = 10

Answer 2

The mean is 50 and the standard deviation is 10.

Step-by-step explanation:

Given : If the points of inflexion of a normal curve are 40 and 60 respectively.

To find : Its mean deviation ?

Solution :

We know that,

Points of inflexion of a normal curve  = Mean  ±  Standard Deviation

i.e.  $x=\mu \pm \sigma$

Here, x values are 40 and 60.

So, $\mu +\sigma=60$ ....(1)

$\mu-\sigma=40$ ....(2)

Add equation (1) and (2),

$\mu+\sigma+\mu-\sigma=60+40$

$2\mu=100$

$\mu=\frac{100}{2}$

$\mu=50$

Substitute in (1),

$50+\sigma=60$

$\sigma = 60-50$

$\sigma = 10$

Therefore, The mean is 50 and the standard deviation is 10.

#Learn more

What is mean deviation and standard deviation​

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