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

Answer:

Q3 = 223

Step-by-step 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):

$Q_3 = (N + 1) * \frac{3}{4}$

N = number of data points= 11

Therefore:

$Q_3 = (11 + 1) * \frac{3}{4} \\\\Q_3 = 12 * 3/4\\\\Q_3 = 9$

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