Question

Wingspans of adult horses have approximate normal distribution with mean 125 cm and standard deviation 12 cm. What are the rst and third quartiles of the wingspans

Answer 1

The first and third quartile of the wingspans are 116.9 cm and 133.1 cm respectively.

Explanation:

The first and third quartile of a normal distribution are:

`Q_(1)=\mu-0.675\sigma\\\\Q_(3)=\mu+0.675\sigma`

The information provided is as follows:

`\mu=125\\\sigma=12`

Compute the first and third quartile of the wingspans as follows:

`Q_(1)=\mu-0.675\sigma=125-(0.675* 12)=116.9\\\\Q_(3)=\mu+0.675\sigma=125+(0.675* 12)=133.1`

Thus, the first and third quartile of the wingspans are 116.9 cm and 133.1 cm respectively.