What is the interquartile range of this data set?
5, 5, 6, 7, 9, 11, 14, 17, 21, 23
A. 7
B. 9
C. 11
D. 13
Yes it is i got 100%
It might be 11
no its not because i look it up
you should not do that
To find the interquartile range of a data set, you need to first find the first quartile (Q1) and the third quartile (Q3).
Step 1: Arrange the data set in ascending order:
5, 5, 6, 7, 9, 11, 14, 17, 21, 23
Step 2: Find the median (Q2). In this case, the median is the middle value of the data set since it has an odd number of values, which is 9.
Step 3: Find the first quartile (Q1). Q1 is the median of the lower half of the data set, meaning the values from the start up until (but not including) the median. In this case, the lower half of the data set is 5, 5, 6, 7, and 9. The median of this lower half is the middle value, which is 6.
Step 4: Find the third quartile (Q3). Q3 is the median of the upper half of the data set, meaning the values from the median to the end. In this case, the upper half of the data set is 11, 14, 17, 21, and 23. The median of this upper half is the middle value, which is 17.
Step 5: Calculate the interquartile range. The interquartile range is the difference between Q3 and Q1. In this case, the interquartile range is 17 - 6 = 11.
Therefore, the correct answer is C. 11.