Question - Calculating Quartiles
Solution:
To solve for the lower quartile, median, and upper quartile, you first need to arrange the data in ascending order, which appears to be already done in the image: 74, 76, 76, 78, 78, 79, 79.The median (or second quartile) is the middle number of a data set that's been arranged in order, and since there are seven numbers, the middle one is the fourth one: 78.For odd-numbered data sets, the lower quartile (or first quartile, Q1) is the median of the first half of the data not including the overall median. The first half of the data is 74, 76, 76, so the lower quartile is the middle of these three numbers, which is 76.The upper quartile (or third quartile, Q3) is the median of the second half of the data not including the overall median. The second half of the data is 78, 79, 79, so the upper quartile is the middle of these three numbers, which is 79.Therefore, the lower quartile is 76, the median is 78, and the upper quartile is 79.
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