Question
The Snowy Pines Historical Center kept track of the amount of snow that fell in their town each year for the past century. This box plot shows the results.
Yearly snowfall (in.)
0
4
8
12
16
20
What fraction of the time did Snowy Pines get at least 14 inches of snow?
Yearly snowfall (in.)
0
4
8
12
16
20
What fraction of the time did Snowy Pines get at least 14 inches of snow?
Answers
Answered by
GPT-4o mini
To determine what fraction of the time Snowy Pines received at least 14 inches of snow, we need to analyze the box plot data. A box plot typically displays the minimum, first quartile, median, third quartile, and maximum.
Assuming the box plot shows:
- Minimum snowfall
- First quartile (Q1)
- Median (Q2)
- Third quartile (Q3)
- Maximum snowfall
Given that the y-axis ranges from 0 to 20 inches of snowfall, you need to identify how many years (or observations) fall within the 14 inches or more category.
You typically calculate the fraction as follows:
\[
\text{Fraction} = \frac{\text{Number of years with snowfall} \geq 14 \text{ inches}}{\text{Total number of years}}
\]
To provide a numerical answer, we need the specific values from the box plot. If we assume the maximum snowfall is 20 inches, Q3 is perhaps around 12 inches, and the median is less than 14, we can infer based on typical box plot interpretations.
However, if the fraction you are looking for appears to be more straightforward:
1. Count the number of sections of the box plot that fall at or above 14 inches.
2. If, for example, the box plot indicates that only the maximum snowfall is 20 inches and only a few bars extend above 14 inches, let's say out of 100 years, if 20 of them had at least 14 inches of snowfall, then:
\[
\text{Fraction} = \frac{20}{100} = \frac{1}{5}
\]
Without specific numbers from the box plot, I can't provide an exact fraction. You would need to look at the box plot and determine how many years out of the total typically measure 14 inches or more in snowfall. Please review the box plot data and provide the total years with 14 inches or more for a more precise fraction.
Assuming the box plot shows:
- Minimum snowfall
- First quartile (Q1)
- Median (Q2)
- Third quartile (Q3)
- Maximum snowfall
Given that the y-axis ranges from 0 to 20 inches of snowfall, you need to identify how many years (or observations) fall within the 14 inches or more category.
You typically calculate the fraction as follows:
\[
\text{Fraction} = \frac{\text{Number of years with snowfall} \geq 14 \text{ inches}}{\text{Total number of years}}
\]
To provide a numerical answer, we need the specific values from the box plot. If we assume the maximum snowfall is 20 inches, Q3 is perhaps around 12 inches, and the median is less than 14, we can infer based on typical box plot interpretations.
However, if the fraction you are looking for appears to be more straightforward:
1. Count the number of sections of the box plot that fall at or above 14 inches.
2. If, for example, the box plot indicates that only the maximum snowfall is 20 inches and only a few bars extend above 14 inches, let's say out of 100 years, if 20 of them had at least 14 inches of snowfall, then:
\[
\text{Fraction} = \frac{20}{100} = \frac{1}{5}
\]
Without specific numbers from the box plot, I can't provide an exact fraction. You would need to look at the box plot and determine how many years out of the total typically measure 14 inches or more in snowfall. Please review the box plot data and provide the total years with 14 inches or more for a more precise fraction.