Ten students resit the Basic Statistics exam. Their final grades are: 4, 4, 2, 9, 7, 9, 6, 4, 7, 8. What is the interquartile range?1 point2847
Question
Ten students resit the Basic Statistics exam. Their final grades are:
4, 4, 2, 9, 7, 9, 6, 4, 7, 8.
What is the interquartile range?
1 point
2847
Solution
To calculate the interquartile range, we first need to order the data from smallest to largest:
2, 4, 4, 4, 6, 7, 7, 8, 9, 9
Next, we find the lower quartile (Q1) and the upper quartile (Q3).
Q1 is the median of the first half of the data. Since we have 10 data points, the first half is the first 5 numbers: 2, 4, 4, 4, 6. The median of these numbers is 4.
Q3 is the median of the second half of the data. The second half is the last 5 numbers: 7, 7, 8, 9, 9. The median of these numbers is 8.
The interquartile range is Q3 - Q1, which is 8 - 4 = 4.
So, the interquartile range of the data is 4.
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