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 Lachy's Interquartile Range (IQR), we first need to arrange the data in ascending order and find the quartiles.
Lachy's sugar consumption in ascending order: 2.2, 2.5, 3.8, 3.9, 4.4, 6.3, 7.4
Next, we find the quartiles.
The first quartile (Q1) is the median of the first half of the data. Since there are 7 data points, the first half is the first 3 numbers. The median of 2.2, 2.5, and 3.8 is 2.5.
The third quartile (Q3) is the median of the second half of the data. The second half is the last 3 numbers. The median of 4.4, 6.3, and 7.4 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 is 3.8 grams.
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