What can you say about the given data set? 2, 3, 5, 2, 3, 5, 2, 3, 4, 2, 2The mean is equal to 3.The mean and median are the same.The mode is 2 and 3.
Question
What can you say about the given data set?
Data Set: 2, 3, 5, 2, 3, 5, 2, 3, 4, 2, 2
- The mean is equal to
3
. - The mean and median are the same.
- The mode is
2
and3
.
Solution
The given data set is a list of numbers: 2, 3, 5, 2, 3, 5, 2, 3, 4, 2, 2.
-
Calculate the Mean: The mean is the average of all numbers and is calculated by adding all numbers and then dividing by the quantity of numbers. In this case, the sum of the numbers is 33 and there are 11 numbers. So, the mean is 33/11 = 3.
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Calculate the Median: The median is the middle number in a sorted list. If the list has an odd number of observations, the median is the middle number. If the list has an even number of observations, the median is the average of the two middle numbers. In this case, the sorted list is 2, 2, 2, 2, 2, 3, 3, 3, 4, 5, 5. The middle number is 3, so the median is 3.
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Calculate the Mode: The mode is the number that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. In this case, the number 2 appears five times and the number 3 appears three times. So, the modes are 2 and 3.
So, the statement "The mean is equal to 3" is correct. The statement "The mean and median are the same" is also correct because both are 3. The statement "The mode is 2 and 3" is partially correct because the mode is 2, not 3.
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