Question

If there are 21 values in a data set in order from smallest to largest, what is the first quartile of the data set?

Answer 1

Answer with explanation:

Total Number of Variate in the Data set = 21

Since number of Variate is odd, median is given by the formula:

     $=\frac{\text{Total number of terms}+1}{2}\\\\=\frac{21+1}{2}\\\\=11^{\text{th term}}$

$Q_{1}$

      = Mid value between  lowest Variate and Median value.

→→Mid value of first 11 Terms is given by

     $=\frac{\text{Total number of terms}+1}{2}\\\\=\frac{11+1}{2}\\\\=6^{\text{th term}}$

Most Appropriate Option:⇒

Option A: →The mean of the 6th and 7th values

Answer 2

I think the answer is B) The mean of the 5th and 6th values