Question

select the correct answer from each drop-down menu.

the given data set represents the average daily temperatures, in degrees fahrenheit, recorded in a town during the first 15 days of september.

60, 64, 65, 64, 63, 62, 63, 63, 61, 60, 62, 61, 61, 62, 63

if the data set is displayed as a box plot, the first quartile would be drawn at choose an answer, and the third quartile would be drawn at choose an answer.

Explanation:

⚡ Using what you learned: displaying data: histograms & box plots

Step 1: Order the data set

Arrange the 15 data points in ascending order:

$$ 60, 60, 61, 61, 61, 62, 62, 62, 63, 63, 63, 63, 64, 64, 65 $$

Step 2: Find the median

The median is the middle value (the 8th value in a data set of 15 points):

$$ \text{Median } (Q_2) = 62 $$

Step 3: Find the first quartile (Q1)

The first quartile is the median of the lower half of the data (the first 7 values):

$$ \text{Lower half: } 60, 60, 61, 61, 61, 62, 62 $$

The middle value of this lower half (the 4th value) is:

$$ Q_1 = 61 $$

Step 4: Find the third quartile (Q3)

The third quartile is the median of the upper half of the data (the last 7 values):

$$ \text{Upper half: } 63, 63, 63, 63, 64, 64, 65 $$

The middle value of this upper half (the 12th value overall) is:

$$ Q_3 = 63 $$

Answer:

• First quartile: 61
• Third quartile: 63