Math Problem Statement
Using technology, find the range and standard deviation. Round to two decimals places.
The table below gives the number of hours spent watching TV last week by a sample of 24 children.
61 56 73 87 83 26 38 33 24 51 69 48 62 42 24 79 86 30 27 42 80 56 96 14
Range =
Standard Deviation = Submit Question Question 4
Solution
The range of the number of hours spent watching TV is 82, and the standard deviation is 23.49 (rounded to two decimal places).
Do you need more details or have any questions?
Here are some related questions to consider:
- What does the range tell you about the dataset?
- How is the standard deviation calculated, and why is it important?
- What would be the effect of removing the highest value from the data set on both range and standard deviation?
- How can you interpret the spread of hours watched based on the standard deviation?
- How does standard deviation differ from variance?
Tip: The range only considers the extreme values, while the standard deviation takes all data points into account, providing a fuller picture of data spread.
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Math Problem Analysis
Mathematical Concepts
Statistics
Descriptive Statistics
Formulas
Range = Max value - Min value
Standard Deviation = sqrt[(Σ(xi - μ)^2) / N]
Theorems
Empirical Rule (for interpreting standard deviation)
Suitable Grade Level
Grades 9-12
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