Question

What percent of the observations in a distribution lie between the first quartile and the third quartile

Answer 1

Answer:

The value is    $k = 50\%$

Step-by-step explanation:

Generally quartiles divide observation into four parts  

   The first quartile takes up 25% of the observation

    The second quartile takes up 50% of the observation

    The third quartile takes up  75% of the observation

      The fourth quartile  takes up 100% of the observation

Generally the percentage of the observation that lies between the first and the third quartile is mathematically represented as\

         $k = 75\% - 25\%$

=>       $k = 50\%$  

Answer 2

Using the concepts of quartiles and percentiles, it is found that 50% of the observations in a distribution lie between the first quartile and the third quartile.

• A measure is said to be at the xth percentile of a data-set if it is greater than x% of the observations in the data-set.
• The first quartile is the 25th percentile, as $\frac{100}{4} = 25$.
• The third quartile is the 75th percentile, as $3\frac{100}{4} = 75$.

To find the percentage between, we subtract the percentiles, hence:

75 - 25 = 50

50% of the observations in a distribution lie between the first quartile and the third quartile.

A similar problem, which involves percentiles, is given at https://brainly.com/question/24495213