Question

question 37 points 2

the earnings per share of a stock during a 7-month period: \\$4.2, \\$5.05, \\$5.6, \\$5.9, \\$6.5, \\$7.2, and \\$4.4

find the three quartiles of the data.

\\(q_1 = \\$4.4, q_2 = \\$5.6, q_3 = \\$6.5\\)

\\(q_1 = \\$4.9, q_2 = \\$5.4, q_3 = \\$6.8\\)

Explanation:

Order the dataset

Using the Ordering Numbers knowledge point

$$ 4.2, \quad 4.4, \quad 5.05, \quad 5.6, \quad 5.9, \quad 6.5, \quad 7.2 $$

Find the median (Q2)

Using the Median of Data knowledge point

$$
LATEXBLOCK0
$$

Find the first quartile (Q1)

Using the Quartiles of Data knowledge point

$$
LATEXBLOCK1
$$

Find the third quartile (Q3)

Using the Quartiles of Data knowledge point

$$
LATEXBLOCK2
$$

Answer:

• (A) \(Q_1 = \$4.4, Q_2 = \$5.6, Q_3 = \$6.5\) (Correct answer)
• (B) \(Q_1 = \$4.9, Q_2 = \$5.4, Q_3 = \$6.8\)