Question

During summer vacation, Courtney's family drove through seven different states. The gasoline prices in the seven states were $1.96, $2.09, $1.79, $1.61, $1.75, $2.11, and $1.84. Find the central tendencies - mean, median, and mode.

A. Mean: $1.88, Median: $1.84, Mode: $1.96
B. Mean: $1.95, Median: $1.84, Mode: $2.11
C. Mean: $1.84, Median: $1.79, Mode: $1.96
D. Mean: $2.11, Median: $1.88, Mode: $1.75

Answer 1

The central tendencies for the gasoline prices are a mean of $1.88, a median of $1.84, and there is no mode since all prices appear only once, making Option A the correct answer.

Step-by-step explanation:

To find the central tendencies of the gasoline prices that Courtney's family encountered, we will need to calculate the mean, median, and mode of the given prices: $1.96, $2.09, $1.79, $1.61, $1.75, $2.11, and $1.84.

1. Mean: Add all the prices together and divide by the number of states. The calculation is as follows: ($1.96 + $2.09 + $1.79 + $1.61 + $1.75 + $2.11 + $1.84) / 7 = $13.15 / 7 = $1.88.
2. Median: Arrange the prices in ascending order: $1.61, $1.75, $1.79, $1.84, $1.96, $2.09, $2.11. The median is the middle number, which is $1.84.
3. Mode: The mode is the price that appears most frequently. Since all prices appear only once, there is no mode.

The correct central tendencies are a mean of $1.88, a median of $1.84, and no mode. Option A is the correct answer.