Answer:
Step 1: Order the data in ascending order: 6, 8, 10, 12, 12, 17, 19, 24, 25
Step 2: Find the median (Q2): 12
Step 3: Find the first quartile (Q1) which is the median of the lower half of the data: (6, 8, 10) = 8
Step 4: Find the third quartile (Q3) which is the median of the upper half of the data: (17, 19, 24, 25) = 21
Now, calculate the semi interquartile range: Semi interquartile range = (Q3 - Q1) / 2 = (21 - 8) / 2 = 13 / 2 = 6.5
Next, calculate the coefficient of the semi interquartile range: Coefficient = (Semi interquartile range / ((Q1 + Q3) / 2)) * 100% = (6.5 / ((8 + 21) / 2)) * 100% = (6.5 / 14.5) * 100% ≈ 44.82%
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Answer:
Step 1: Order the data in ascending order: 6, 8, 10, 12, 12, 17, 19, 24, 25
Step 2: Find the median (Q2): 12
Step 3: Find the first quartile (Q1) which is the median of the lower half of the data: (6, 8, 10) = 8
Step 4: Find the third quartile (Q3) which is the median of the upper half of the data: (17, 19, 24, 25) = 21
Now, calculate the semi interquartile range: Semi interquartile range = (Q3 - Q1) / 2 = (21 - 8) / 2 = 13 / 2 = 6.5
Next, calculate the coefficient of the semi interquartile range: Coefficient = (Semi interquartile range / ((Q1 + Q3) / 2)) * 100% = (6.5 / ((8 + 21) / 2)) * 100% = (6.5 / 14.5) * 100% ≈ 44.82%