Question

bowen recorded his daily expenses for a week as follows: $21.75, $22.75, $22.25, $19.50, $23.50, $22.00 and $26.75. which statement about the box - plot representing bowens daily expenses is true? the first quartile (q1) is $21.25. the median expense is greater than $25.00. the range of expenses is $7.00. the third quartile (q3) is less than $23.00.

Explanation:

Step1: Identify key - values from box - plot

From the box - plot, Min = 19.50, Q1 = 21.25, Q2 (median) = 22.25, Q3 = 23.50, Max = 26.75.

Step2: Check each statement

• For the first statement: Q1 is indeed 21.25, so it's correct.
• For the second statement: Median (Q2) = 22.25 < 25.00, so it's false.
• For the third statement: Range = Max - Min = 26.75 - 19.50=7.25 $

eq$ 7.00, so it's false.

• For the fourth statement: Q3 = 23.50 > 23.00, so it's false.

Answer:

The first statement "The first quartile (Q1) is $21.25$" is true.