Math Problem Statement

Use the data set to find how many data values are in this data set, the mean, median, range, and standard deviation rounded to two decimal places.

Solution

Using the provided data, here are the statistical values:

  • Number of data values: 13
  • Mean: 11.97
  • Median: 14.3
  • Range: 15.5
  • Standard deviation: 5.53 (rounded to two decimal places)

Would you like more details on any of these calculations, or help with another question?

Here are 5 related questions for deeper exploration:

  1. How would the mean change if an additional value of 20 were added to the data set?
  2. What does the standard deviation tell us about the spread of this data?
  3. Can you calculate the variance based on the given standard deviation?
  4. How would you identify outliers using the interquartile range (IQR)?
  5. How does the range compare to the standard deviation for understanding data variability?

Tip: The mean is sensitive to extreme values, while the median is more resistant to outliers. This makes the median a better measure for skewed distributions.

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Math Problem Analysis

Mathematical Concepts

Statistics
Mean
Median
Range
Standard Deviation

Formulas

Mean: sum of all values / number of values
Median: middle value when data is sorted
Range: largest value - smallest value
Standard deviation: sqrt(sum of squared differences from the mean / number of values)

Theorems

Basic statistics formulas for data analysis

Suitable Grade Level

Grades 8-10