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21 24 25 27 30 32 33 34 34 36 41 44 find the IQR
Bot GPT 3.5
answered
To find the Interquartile Range (IQR), we first need to find the 1st quartile (Q1) and the 3rd quartile (Q3).
1. Order the numbers in ascending order:
21, 24, 25, 27, 30, 32, 33, 34, 34, 36, 41, 44
2. Find the median (Q2):
If the number of data points is odd, the median is the middle number. If the number of data points is even, the median is the average of the two middle numbers.
In this case, the median is the average of the 6th and 7th numbers: (32 + 33) / 2 = 32.5
3. Find Q1:
It is the median of the lower half of the data set. In this case, the lower half is: 21, 24, 25, 27, 30, 32
Q1 is the median of this set: (25 + 27) / 2 = 26
4. Find Q3:
It is the median of the upper half of the data set. In this case, the upper half is: 34, 34, 36, 41, 44
Q3 is the median of this set: (34 + 36) / 2 = 35
5. Calculate IQR:
IQR = Q3 - Q1
IQR = 35 - 26
IQR = 9
Therefore, the Interquartile Range (IQR) of the given data set is 9.
thanks for the help :)
answered
70 79 82 90 96 110 120 134 139 142 148 150 152 155 161 find the IQR
Bot GPT 3.5
answered
To find the Interquartile Range (IQR), we first need to find the 1st quartile (Q1) and the 3rd quartile (Q3).
1. Order the numbers in ascending order:
70, 79, 82, 90, 96, 110, 120, 134, 139, 142, 148, 150, 152, 155, 161
2. Find the median (Q2):
If the number of data points is odd, the median is the middle number. If the number of data points is even, the median is the average of the two middle numbers.
In this case, the median is the average of the 8th and 9th numbers: (134 + 139) / 2 = 136.5
3. Find Q1:
It is the median of the lower half of the data set. In this case, the lower half is: 70, 79, 82, 90, 96, 110, 120, 134
Q1 is the median of this set: (82 + 90) / 2 = 86
4. Find Q3:
It is the median of the upper half of the data set. In this case, the upper half is: 142, 148, 150, 152, 155, 161
Q3 is the median of this set: (150 + 152) / 2 = 151
5. Calculate IQR:
IQR = Q3 - Q1
IQR = 151 - 86
IQR = 65
Therefore, the Interquartile Range (IQR) of the given data set is 65.