Asked by Michelle Jaimie on May 18, 2024
Verified
Here are some summary statistics for annual snowfall in a certain town compiled over the last 15 years: lowest amount =19\text { amount } = 19 amount =19 cm, mean =40\text { mean } = 40 mean =40 cm, median =33\text { median } = 33 median =33 cm, range =81\text { range } = 81 range =81 cm, IQR=45 cm, \mathrm { IQR } = 45 \mathrm {~cm} \text {, }IQR=45 cm, Q1 =16 cm, \text { Q1 } = 16 \mathrm {~cm} \text {, } Q1 =16 cm, standard deviation =11\text { deviation } = 11 deviation =11 cm.Is the distribution symmetric,skewed to the left,or skewed to the right? Explain.
A) Skewed to the left; mean higher than median.
B) Skewed to the right; mean higher than median.
C) Skewed to the left; mean lower than median.
D) Skewed to the right; mean lower than median.
E) Symmetric; mean higher than median.
IQR
The Interquartile Range, which represents the spread of a dataset, is calculated by subtracting the 25th percentile from the 75th percentile.
Range
The difference between the highest and lowest values in a set of numbers; a measure of dispersion or variability.
Median
The middle value in a sorted list of numbers, effectively dividing the dataset into two halves.
- Identify and explain the shape of data distributions (symmetric, skewed to the left, skewed to the right).
- Analyze the relationship between the mean and median in determining the skewness of a distribution.
Verified Answer
Learning Objectives
- Identify and explain the shape of data distributions (symmetric, skewed to the left, skewed to the right).
- Analyze the relationship between the mean and median in determining the skewness of a distribution.
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