Question

the histogram summarizes the number of acres of soybeans planted in each of the 30 counties of alabama recorded to have planted soybeans in 2009.

histogram with y - axis: number of counties (0, 4, 8, 12, 16, 20) and x - axis: acres of soybeans planted (0, 10,000, 20,000, 30,000, 40,000, 50,000, 60,000, 70,000)

what interval contains the 50th percentile for this data?

choose 1 answer:
bonus question

Explanation:

Step1: Find the position of the 50th percentile

The formula for the position of the \( n \)-th percentile is \( \text{Position} = \frac{n}{100} \times N \), where \( N \) is the total number of data points. Here, \( n = 50 \) and \( N = 30 \). So, \( \text{Position} = \frac{50}{100} \times 30 = 15 \). This means we need to find the value where 15 data points are at or below it.

Step2: Analyze the histogram frequencies

• The first interval (0 - 10,000 acres) has 20 counties. Since 20 is greater than 15, the 15th data point lies within the first interval (0 - 10,000 acres).

Answer:

The interval \( 0 - 10,000 \) acres contains the 50th percentile.