Find the IQR of the data set 2,4,5,6,8,9,13,14,15,18
Please I need help with this quick check
To find the interquartile range (IQR) of a data set, you need to determine the values of the first quartile (Q1) and third quartile (Q3).
Step 1: Arrange the data set in ascending order:
2, 4, 5, 6, 8, 9, 13, 14, 15, 18
Step 2: Find the median, which is the middle value of the data set. Since there are 10 values, the median is the average of the 5th and 6th values, which are 8 and 9. Therefore, the median is 8.5.
Step 3: Determine the lower quartile (Q1), which is the median of the lower half of the data set. In this case, the lower half is 2, 4, 5, and 6. The median of these values is the average of the 2nd and 3rd values, which are 4 and 5. Therefore, Q1 is 4.5.
Step 4: Determine the upper quartile (Q3), which is the median of the upper half of the data set. In this case, the upper half is 9, 13, 14, and 15. The median of these values is the average of the 2nd and 3rd values, which are 13 and 14. Therefore, Q3 is 13.5.
Step 5: Calculate the IQR by subtracting Q1 from Q3.
IQR = Q3 - Q1 = 13.5 - 4.5 = 9
Therefore, the interquartile range (IQR) of this data set is 9.
To find the interquartile range (IQR) of a dataset, which measures the spread or variability of the dataset, follow these steps:
Step 1: Arrange the dataset in ascending order:
2, 4, 5, 6, 8, 9, 13, 14, 15, 18
Step 2: Identify the first quartile (Q1) and the third quartile (Q3):
Q1: The median of the lower half of the dataset.
Q3: The median of the upper half of the dataset.
In this case, the lower half of the dataset is: 2, 4, 5, 6, 8.
So, Q1 is the median of this subset, which is 5.
The upper half of the dataset is: 9, 13, 14, 15, 18.
So, Q3 is the median of this subset, which is 14.
Step 3: Calculate the IQR:
IQR = Q3 - Q1
Substituting the values of Q3 and Q1, we get:
IQR = 14 - 5
Therefore, the interquartile range (IQR) of the given dataset is 9.
geez, you not willing to do anything?
Find the median.
(2,4,5,6,8),(9,13,14,15,18)
Find Q1 and Q3:
(2,4),5,(6,8),(9,13),14,(15,18)
The IQR is Q3-Q1 = 14-5 = 9
Did you spend any of the past hour or two actually studying the topic?
I got the above method in about 10 seconds with google.