Question 9Oli and Lachy record the amount of sugar they consume in grams every day for a week. Oli: 2.4,7.8,10.2,12.5,5.6,7.3,8.92.4,7.8,10.2,12.5,5.6,7.3,8.9Lachy: 4.4,6.3,7.4,2.2,2.5,3.8,3.94.4,6.3,7.4,2.2,2.5,3.8,3.9Calculate Lachy's IQR.
Question
Question 9Oli and Lachy record the amount of sugar they consume in grams every day for a week. Oli: 2.4,7.8,10.2,12.5,5.6,7.3,8.92.4,7.8,10.2,12.5,5.6,7.3,8.9Lachy: 4.4,6.3,7.4,2.2,2.5,3.8,3.94.4,6.3,7.4,2.2,2.5,3.8,3.9Calculate Lachy's IQR.
Solution
To calculate the Interquartile Range (IQR) for Lachy's sugar consumption, we first need to put the data in order from least to greatest:
2.2, 2.5, 3.8, 3.9, 4.4, 6.3, 7.4
Next, we find the median (Q2), which is the middle number. In this case, it's 3.9.
Then, we find the lower quartile (Q1), which is the median of the lower half of the data. Here, it's the median of 2.2, 2.5, and 3.8, which is 2.5.
Similarly, we find the upper quartile (Q3), which is the median of the upper half of the data. Here, it's the median of 4.4, 6.3, and 7.4, which is 6.3.
Finally, we subtract Q1 from Q3 to find the IQR:
IQR = Q3 - Q1 = 6.3 - 2.5 = 3.8
So, Lachy's IQR for his sugar consumption is 3.8 grams.
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