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 11.811.8 feet, and the standard deviation is 1.41.4 feet.

Would you like further details or explanations on how these were calculated?

Here are five related questions for further exploration:

  1. What is the range of the tree heights in the dataset?
  2. How would you calculate the variance of the tree heights?
  3. How does the standard deviation help in understanding the spread of the data?
  4. If another tree of 15 feet is added, how would the mean and standard deviation change?
  5. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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