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Questions and Answers
Which of the following is the correct formula for calculating the population mean?
Which of the following is the correct formula for calculating the population mean?
- $\mu = \sum{x} \times n$
- $\mu = \sum{x} \times N$
- $\mu = \sum{x} \div n$
- $\mu = \sum{x} \div N$ (correct)
Which of the following is the correct formula for calculating the sample mean?
Which of the following is the correct formula for calculating the sample mean?
- $\bar{x} = \sum{x} \div N$
- $\bar{x} = \sum{x} \times n$
- $\bar{x} = \sum{x} \div n$ (correct)
- $\bar{x} = \sum{x} \times N$
What is the mean of the data set 1, 3, 5, 7, 9?
What is the mean of the data set 1, 3, 5, 7, 9?
- 5
- 6 (correct)
- 3
- 7
Which of the following is an application of statistics?
Which of the following is an application of statistics?
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What is the mean of the data set 2, 7, 10?
What is the mean of the data set 2, 7, 10?
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Study Notes
Formulas for Calculating Means
- The correct formula for calculating the population mean is μ = (Σx) / N, where μ is the population mean, Σx is the sum of all values, and N is the total number of values in the population.
- The correct formula for calculating the sample mean is x̄ = (Σx) / n, where x̄ is the sample mean, Σx is the sum of all values, and n is the total number of values in the sample.
Calculating Means for Specific Data Sets
- The mean of the data set 1, 3, 5, 7, 9 is (1 + 3 + 5 + 7 + 9) / 5 = 25 / 5 = 5.
- The mean of the data set 2, 7, 10 is (2 + 7 + 10) / 3 = 19 / 3 = 6.33.
Applications of Statistics
- One application of statistics is analyzing and interpreting data to make informed decisions or predictions.
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