Question

the data show the hourly earnings (in dollars) of a sample of 25 railroad equipment manufacturers. use technology to answer parts (a) and (b).

15.55 18.70 14.60 15.80 14.35 13.90 17.55 17.60 13.80
14.20 19.05 15.30 15.25 19.40 16.00 16.45 16.35 15.25
15.05 19.10 15.15 16.30 17.70 18.45 15.20

a. find the data sets first, second, and third quartiles.
\\(q_1 = \\)
\\(q_2 = \\)
\\(q_3 = \\)
(type integers or decimals. do not round.)

Explanation:

Sort the dataset

Using the Median Calculation knowledge point

$$
LATEXBLOCK0
$$

$$
LATEXBLOCK1
$$

Calculate the second quartile (Q2)

Using the Median Calculation knowledge point

$$
LATEXBLOCK2
$$

Calculate the first quartile (Q1)

Using the Percentiles and Quantiles knowledge point

$$
LATEXBLOCK3
$$

Calculate the third quartile (Q3)

Using the Percentiles and Quantiles knowledge point

$$
LATEXBLOCK4
$$

Answer:

\(Q_1 = 15.1\)

\(Q_2 = 15.8\)

\(Q_3 = 17.65\)