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Questions and Answers
What is the primary purpose of a central tendency?
What is the mode in the given dataset of flower heights?
How is the mean calculated in the given dataset?
What is the median in the given dataset of flower heights?
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Why is the median a better measure of central tendency in this dataset?
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What is the purpose of the 'middle' trick for remembering the median?
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Why is the value 19 a good summary of the dataset?
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What is the mode of a dataset?
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What is the mean of a dataset?
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What is the median of a dataset?
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Why do you need to put the dataset in numerical order?
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What is the median of the dataset {58, 60, 61, 64, 65, 65, 66, 66, 66, 68, 69, 71, 73, 74, 78}?
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How do you calculate the mean of a dataset?
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What is the mode of the dataset {58, 60, 61, 64, 65, 65, 66, 66, 66, 68, 69, 71, 73, 74, 78}?
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Why do you need to be careful when you're given a dataset?
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Study Notes
Measures of Central Tendency
- Central tendency is a way of summarizing data with a single number.
- The three basic measures of central tendency are mode, mean, and median.
Mode
- The mode is the number found most often in a dataset.
- Example: in the dataset 10, 15, 18, 19, 19, 19, 22, 24, 35, 40, 45, the mode is 19.
Mean
- The mean is the average of a dataset.
- To calculate the mean, add up all the values and divide by the number of values.
- Example: in the dataset 10, 15, 18, 19, 19, 19, 22, 24, 35, 40, 45, the mean is 24.2.
Median
- The median is the number in the middle of a sorted dataset.
- To find the median, count the number of values and find the middle value.
- If there are two middle values, the median is the number halfway between them.
- Example: in the dataset 10, 15, 18, 19, 19, 19, 22, 24, 35, 40, 45, the median is 19.
Example Problem
- Measure the heights of 15 people in a grocery store: 58, 60, 61, 64, 65, 65, 66, 66, 66, 68, 69, 71, 73, 74, 78.
- The mode is 66, the mean is 66.9, and the median is 66.
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Description
Learn about central tendency, a method to summarize data with a single number, and how to apply it in real-life scenarios.
