Grade 12 Math: Standard Deviation
This worksheet focuses on understanding and calculating standard deviation for Grade 12 students, covering its interpretation and application in various data sets.
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Standard Deviation Worksheet
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Read each question carefully and provide your answers in the space provided. Show all your work for calculation problems.
1. In your own words, explain what standard deviation measures and why it is an important statistical concept.
2. A small standard deviation indicates that data points are generally close to the of the data set, while a large standard deviation indicates that the data points are spread out over a wider range of .
3. Which of the following statements is true regarding a data set with a standard deviation of zero?
All data points are identical.
The mean of the data set is zero.
The data set has only one data point.
The data set contains an outlier.
4. Calculate the standard deviation for the following data set, showing all your steps: Data Set: { 10, 12, 15, 18, 20 }
5. Standard deviation is always a non-negative value.
True
False
6. Two classes took the same test. Class A had an average score of 75 with a standard deviation of 5. Class B had an average score of 75 with a standard deviation of 15. Which class had more consistent scores? Explain your reasoning.