Question

Using the data: 2, 2, 3, 3, 3, 4, 5, 6, 6, 19 What is Q1 and Q3

Answer 1

Answer:

$Q_1=2$

$Q_3=6$

Step-by-step explanation:

Notice that we already have the data sorted from least to greatest.

Now to find Q1 and Q3 we can use the following formulas

For a set of data ordered from least to greatest of the form $X_1, X_2, ..., X_n$

Where n is the total number of data

$Q_1=X_{\frac{1}{4}(n+1)}$

In this case $n=10$

So:

$Q_1=X_{\frac{1}{4}(10+1)}$

$Q_1=X_{2.75}$

Round the nearest whole and get:

$Q_1=X_{3}$

$Q_1=3$

For Q3 we have:

$Q_3=X_{\frac{3}{4}(n+1)}$

$Q_3=X_{\frac{3}{4}(10+1)}$

$Q_3=X_{8.25}$

Round the nearest whole and get:

$Q_3=X_{8}$

$Q_3=6$