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Using the following set of data, calculate the lower quartile, the upper quartile, and the interquartile range.
20, 22, 25, 28, 29, 30, 32, 33, 34
Be sure to show your work for finding:
the lower quartile
the upper quartile
the interquartile range
I don't know how to get the quartile ;-;
okay ty
You're welcome.
this isn't very helpful... is there a more helpful website?
To find the lower quartile, upper quartile, and interquartile range, we first need to find the median.
Step 1: Arrange the data in ascending order:
20, 22, 25, 28, 29, 30, 32, 33, 34
Step 2: Find the median:
Since we have 9 numbers, the median will be the (9 + 1)/2 = 5th value after arranging the data in ascending order.
So the median is 29.
Step 3: Find the lower quartile:
The lower quartile is the median of the lower half of the data. In this case, the lower half is: 20, 22, 25.
Since we have 3 numbers in the lower half, the lower quartile will be the (3 + 1)/2 = 2nd value in the lower half of the data.
So the lower quartile is 22.
Step 4: Find the upper quartile:
The upper quartile is the median of the upper half of the data. In this case, the upper half is: 30, 32, 33, 34.
Since we have 4 numbers in the upper half, the upper quartile will be the (4 + 1)/2 = 2.5th value in the upper half of the data.
To find the 2.5th value, we take the average of the 2nd and 3rd values in the upper half.
So the upper quartile is (32 + 33) / 2 = 32.5.
Step 5: Find the interquartile range:
The interquartile range is the difference between the upper quartile and the lower quartile.
So the interquartile range is 32.5 - 22 = 10.5.
Therefore, the lower quartile is 22, the upper quartile is 32.5, and the interquartile range is 10.5.
Which part of this assignment don't you understand?
A quartile is one-fourth of the numbers.
Study this site.
https://www.mathsisfun.com/data/quartiles.html