Math Problem Statement

Note: Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma ($2,354.67). All percentage values in the answers need to include a percentage sign (%). For all items without specific rounding instructions, round your answers to two decimal places, show both decimal places (5.06).

An electric bill is an essential expense for young people who get their first apartment. The following is a list of Jordan's monthly electric bills for the past 10 months. $115, $150, $144, $126, $90, $90, $95, $110, $120, $88 Round your answers to the nearest cent. a. What is the mean monthly electric bill? $112.80

b. What is the range? $62.00

c. What is the variance? 456.76

d. What is the standard deviation?

Solution

It seems like I can’t do more advanced data analysis right now. Please try again later.

If you'd like, I can help guide you through the process of calculating the standard deviation manually, or you can wait until the issue is resolved. Let me know what you'd prefer!

Here are some related questions for further exploration:

  1. How does the variance help in understanding the distribution of electric bills?
  2. What is the difference between the range and the standard deviation when analyzing data?
  3. How would the standard deviation change if there was an unusually high bill added to the data set?
  4. Why is the mean sensitive to extreme values in the data set?
  5. How can tracking the variance of electric bills help with budgeting?

Tip: Always double-check your calculations when working with statistical formulas, as even small mistakes can lead to incorrect conclusions.

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Math Problem Analysis

Mathematical Concepts

Statistics
Mean
Range
Variance
Standard Deviation

Formulas

Mean = (Sum of all values) / (Number of values)
Range = Maximum value - Minimum value
Variance = Σ((X - Mean)²) / N
Standard Deviation = √Variance

Theorems

Basic Statistical Measures

Suitable Grade Level

Grades 9-12

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