Measures of Variation Worksheet
A Grade 11 math worksheet covering measures of variation including range, interquartile range, variance, and standard deviation.
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Measures of Variation
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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. Consider the following dataset: 12, 15, 18, 20, 22, 25, 28, 30, 35
a) Calculate the range of the dataset.
b) Calculate the interquartile range (IQR) of the dataset.
2. The is the difference between the highest and lowest values in a dataset.
3. The measures the spread of the middle 50% of the data.
4. is the average of the squared differences from the mean.
5. A sample of student scores on a math test are: 70, 75, 80, 85, 90.
a) Calculate the variance of the sample scores.
b) Calculate the standard deviation of the sample scores.
6. Which of the following statements is true about standard deviation?
A high standard deviation indicates data points are close to the mean.
Standard deviation is always a negative value.
A standard deviation of zero means all data points are identical.
Standard deviation is not affected by outliers.
7. The interquartile range is less sensitive to outliers than the range.
True
False
8. Two different brands of light bulbs are tested for their lifespan (in hours).
Brand A: 980, 1020, 1000, 995, 1010
Brand B: 900, 1100, 950, 1050, 1000
Without performing calculations, which brand do you expect to have a larger standard deviation? Explain your reasoning.