Question

2
select the correct answer from each drop-down menu.
the gasoline prices in seven states are $1.96, $2.09, $1.79, $1.61, $1.75, $2.11, and $1.84.
the median gasoline price is. the difference of the first and third quartiles in this set of gas prices is.
reset next

Explanation:

Step1: Sort the price data

Sort the prices from lowest to highest:
$\$1.61, \$1.75, \$1.79, \$1.84, \$1.96, \$2.09, \$2.11$

Step2: Find the median

For 7 data points, the median is the 4th value.
Median = $\$1.84$

Step3: Identify first quartile (Q1)

Q1 is the median of the lower half (first 3 values: $\$1.61, \$1.75, \$1.79$), which is the 2nd value.
Q1 = $\$1.75$

Step4: Identify third quartile (Q3)

Q3 is the median of the upper half (last 3 values: $\$1.96, \$2.09, \$2.11$), which is the 2nd value of this subset.
Q3 = $\$2.09$

Step5: Calculate Q3 - Q1

Subtract Q1 from Q3 to find the difference.
$\$2.09 - \$1.75 = \$0.34$

Answer:

The median gasoline price is $\boldsymbol{\$1.84}$. The difference of the first and third quartiles in this set of gas prices is $\boldsymbol{\$0.34}$.