1, 2, 2, 3, 5, 5, 7, 8, 9, 9What is the lower quartile for this data?
Question
1, 2, 2, 3, 5, 5, 7, 8, 9, 9What is the lower quartile for this data?
Solution
To find the lower quartile (Q1) of a data set, you first need to put the data in numerical order, which it already is in this case.
The lower quartile is the median of the lower half of the data.
The steps to find the lower quartile are as follows:
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Identify the median of the data set. This data set has 10 numbers, so the median is the average of the 5th and 6th numbers, which are both 5. So, the median is 5.
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The lower half of the data is the set of numbers that come before the median. In this case, the lower half is 1, 2, 2, 3, 5.
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Find the median of the lower half of the data. This set has 5 numbers, so the median is the 3rd number, which is 2.
So, the lower quartile (Q1) of this data set is 2.
Similar Questions
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