Question

What is the quartile three of the following set of data? 202, 199, 223, 198, 223, 223, 301, 199, 200, 212, 215

Answer 1

If you're wondering what the Q1 is it is 199.

Explanation:

Answer 2

Q3 = 223

Explanation:

The given data is:

198, 199, 199, 200, 202, 212, 215, 223, 223, 223, 301

Let us use the quartile formula for the Quartile 3 (Q3):

`Q_3 = (N + 1) * (3)/(4)`

N = number of data points= 11

Therefore:

`Q_3 = (11 + 1) * (3)/(4) \\\\Q_3 = 12 * 3/4\\\\Q_3 = 9`

Therefore, the upper quartile (Q3) is the 9th data point i.e. 223