Math Problem Statement

Given the following set of data, find the sample standard deviation to the nearest hundredth.

Solution

The sample standard deviation for the given data, rounded to the nearest hundredth, is 3.87.

Would you like more details on how this was calculated, or do you have any other questions?

Here are 5 related questions for further practice:

  1. How do you calculate the variance from this dataset?
  2. What is the mean of the dataset considering the frequencies?
  3. How would you calculate the population standard deviation instead of the sample one?
  4. What is the range of this dataset?
  5. How does the frequency distribution affect the standard deviation?

Tip: When calculating the standard deviation from a frequency distribution, remember to expand the dataset based on the frequencies, as each value appears multiple times.

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Math Problem Analysis

Mathematical Concepts

Statistics
Standard Deviation
Frequency Distribution

Formulas

Sample Standard Deviation formula: Sx = sqrt(Σ((x - mean)^2 * f) / (n - 1))
Mean formula: mean = Σ(x * f) / Σf

Theorems

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Suitable Grade Level

Grades 9-12

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