Question

the box plot shows the highest daily temperature recorded in a city each year for the past 15 years. what is the interquartile range?

highest daily temperatures
temperature (\\(^{\circ}\text{f}\\))

98
97
6
4

Explanation:

⚡ Using what you learned: Interquartile Range (IQR)

Step 1: Identify the Quartiles from the Box Plot

From the given box plot:

• The left edge of the box represents the first quartile \( (Q_1) \):

$$ Q_1 = 95 $$

• The right edge of the box represents the third quartile \( (Q_3) \):

$$ Q_3 = 99 $$

Step 2: Calculate the Interquartile Range (IQR)

The formula for the Interquartile Range is:

$$ \text{IQR} = Q_3 - Q_1 $$

Substitute the values:

$$ \text{IQR} = 99 - 95 = 4 $$

Answer:

4