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Questions and Answers
What is the total frequency of the given sample?
What is the midpoint of the class interval 80 –under 83?
What is the cumulative frequency of the class interval 83 –under 86?
What is the product of the frequency and midpoint of the class interval 74 –under 77?
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What is the correct order of the class intervals in the given data?
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Study Notes
Consumer Affairs Agency Study
- The agency conducts a study to determine the average weight of a new product on the market.
- A random sample of 25 products is taken for the study.
- The weights of the products are classified into classes with their respective frequencies.
Weight Classification
- Class 1: 74-77, frequency 3, midpoint 75.5, fm 226.5, fm2 17100
- Class 2: 77-80, frequency 6, midpoint 78.5, fm 471, fm2 36973.5
- Classes continue with the same format up to Class 5: 86-89, frequency 3, midpoint 87.5, fm 262.5, fm2 22968.75
- Cumulative frequency is calculated for each class.
Standard Deviation
- The standard deviation of the weights is approximately 17.76 (option b).
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Description
A consumer affair agency takes a random sample of a new product to determine its average weight. Calculate the standard deviation of the weights from the given frequency distribution table.
