Question - Calculating Quartiles from a Set of Numbers
Solution:
The image presents a set of numbers and asks to find the lower quartile, median, and upper quartile.The numbers in the set are:13, 25, 34, 37, 45, 47, 52, 56, 58, 66, 81The median is the middle number when the numbers are ordered from least to greatest. Since there are 11 numbers, the median is the 6th number in the list. Let's find it:Median = 47Quartiles divide the data into four equal parts. The lower quartile (Q1) is the median of the lower half of the data, and the upper quartile (Q3) is the median of the upper half.For the lower quartile, we'll consider the numbers before the median:13, 25, 34, 37, 45Since there are 5 numbers, the lower quartile is the middle one, which is the 3rd number:Lower quartile (Q1) = 34For the upper quartile, we take the numbers after the median:52, 56, 58, 66, 81Similarly, since there are 5 numbers, the upper quartile is the middle one, which is the 3rd number in this set:Upper quartile (Q3) = 58To summarize:Lower quartile (Q1) = 34Median = 47Upper quartile (Q3) = 58
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