Question - Calculating Quartiles
Solution:
To calculate the lower quartile, median, and upper quartile of the data set provided, here are the steps:1. Arrange the data in ascending order: 74, 76, 76, 78, 78, 79, 792. Determine the median (the middle number):Since there are 7 numbers, the median is the fourth number: 78.3. Determine the lower quartile (Q1), which is the median of the lower half of the data, not including the median of the dataset.The lower half of the data is 74, 76, 76. The median of this half is the second number: 76.4. Determine the upper quartile (Q3), which is the median of the upper half of the data, not including the median of the dataset.The upper half of the data is 78, 79, 79. The median of this half is the second number: 79.Therefore, the lower quartile (Q1) is 76, the median is 78, and the upper quartile (Q3) is 79.
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