Math Problem Statement
Find the mean and standard deviation of the of data. Round to the nearest tenth.
the height (in feet) of a sample of trees in the school playground: 12.5, 9.8, 13.5, 11.2, 12.3, 14.2, 11.7, 9.8, 12.6, 10.4
Solution
The mean height of the sample of trees is feet, and the standard deviation is feet.
Would you like further details or explanations on how these were calculated?
Here are five related questions for further exploration:
- What is the range of the tree heights in the dataset?
- How would you calculate the variance of the tree heights?
- How does the standard deviation help in understanding the spread of the data?
- If another tree of 15 feet is added, how would the mean and standard deviation change?
- What would happen to the standard deviation if all the tree heights were increased by 2 feet?
Tip: The mean gives you a central value, while the standard deviation shows how spread out the values are from the mean.
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Math Problem Analysis
Mathematical Concepts
Statistics
Descriptive Statistics
Formulas
Mean formula: (sum of all data points) / (number of data points)
Standard deviation formula: sqrt((sum of (x - mean)^2) / N)
Theorems
Measures of Central Tendency
Measure of Dispersion
Suitable Grade Level
Grades 6-8
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