Question

Choose the correc US Use the data below for questions 1-4. 33, 25, 42, 25, 31, 37, 46, 29, 38 TH sh 1. What is the first quartile of the data? A. 25 B. 27 5 C. 29 D. 33

Answer 1

Step-by-step explanation:

33, 25, 42, 25, 31, 37, 46, 29, 38

Re-arranging the data set from the lowest to the highest:

25, 25, 29, 31, 33, 37, 38, 42, 46

median = (N + 1)/2

N = 9

median = (9+1)/2 = 10/2

median = 5

first quartile:

`Q_1=\text{ }((N)/(2)+1)/(2)`
`\begin{gathered} Q_1=\text{ }((9)/(2)+1)/(2)=\frac{4.5\text{ + 1}}{2} \\ Q_1=\text{ }(5.5)/(2) \\ Q_1=2.75 \end{gathered}`

From the data, the first quartile: