Grade 11 Math: Variance
This worksheet focuses on understanding and calculating variance for various data sets, including grouped and ungrouped data, for Grade 11 mathematics students.
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Grade 11 Math: Variance
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Read each question carefully and provide your answers in the space provided. Show all your work for calculation-based questions.
1. Define variance in your own words. Why is it an important measure in statistics?
2. The square root of the variance is called the .
3. A high variance indicates that data points are generally from the mean.
4. Which of the following is NOT a characteristic of variance?
It is always non-negative.
It is expressed in the same units as the data.
It measures the spread of data.
It is sensitive to outliers.
5. Calculate the variance for the following set of test scores: 85, 90, 78, 92, 88.
6. A survey was conducted on the number of hours students spend studying per week. The results are grouped as follows:
Class Interval (Hours) | Frequency ----------------------|---------- 0-4 | 5 5-9 | 10 10-14 | 12 15-19 | 8 20-24 | 5
Calculate the variance for this grouped data.
7. If all values in a dataset are the same, the variance will be zero.
True
False