Look at these dot plots. Which statement is true about the two data sets?
What is the mean rainfall for the lowland storms? 10.5 mm✔ 12.05 mm16.05 mm30 mm
What is the relationship between the medians?The 5th-grade median is 2 points lower.The 5th-grade median is 2 points higher.The 7th-grade median is 3 points lower.✔ The 7th-grade median is 3 points higher.
What is the median rainfall for the highland storms? 12 mm14 mm✔ 16 mm18 mm
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What is the median rainfall for the lowland storms? 10 mm✔ 12 mm14 mm22 mm
What is the mean rainfall for the highland storms? 12.5 mm14 mm✔ 15.27 mm24 mm
What is the range of rainfall for the highland storms? 1618✔ 3032
The median rainfall during a spring storm in the lowlands is about 4 mm less than a spring storm in the highlands. The mean rainfall for the lowlands is about 3 mm less than for the highlands. Why is there a difference in the central measures for each data set?
The mean and median for the two locations differ because the distributions of rainfall amounts have different shapes and spreads. In particular, the mean is more sensitive to extreme values or outliers than the median. If one data set has more variation or specific outliers (like high rainfall totals in the highlands), it will shift the mean more significantly than the median, causing the difference in the measures of central tendency.
Which statement is true?
7th-grade median: 15✔ 161720
7th-grade mean: 5th-grade mean: What is the relationship between the means?
Students in 7th grade took a standardized math test that they also had taken in 5th grade. The collected data showed that in two years the median increased by three points, and the mean increased by around two and a half points. In terms of the context, what can you infer?
Based on the increase in both the mean and median scores, it can be inferred that the students' math performance generally improved between 5th and 7th grade. This could be due to students becoming more familiar with the test format or gaining more mathematical knowledge and skills through their coursework over the two-year period.
5th-grade median: 101112✔ 13
5th-grade mean: 12.713✔ 13.413.5
What is the relationship between the means?The 5th-grade mean is about 3.5 points lower.The 5th-grade mean is about 2.5 points higher.✔ The 7th-grade mean is about 2.5 points higher.The 7th-grade mean is about 3.5 points higher.
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