the roster of the dallas cowboys professional football team in a recent season included 7 defensive linemen…
the roster of the dallas cowboys professional football team in a recent season included 7 defensive linemen. their weights (pounds) were 321, 285, 300, 285, 286, 293, and 298. find the interquartile range of the distribution. iqr = pounds (enter an integer.) interpret the interquartile range. the iqr describes by how much the weights of the 7 defensive linemen for the dallas cowboys typically vary from the mean. the iqr is the range of the middle half of weights of dallas cowboys defensive linemen. the iqr describes variability by identifying the difference between the largest and smallest weights of these 7 defensive linemen. the iqr gives the average weight of the 7 defensive linemen for the dallas cowboys.
Answer
Explanation:
Step1: Arrange data in ascending order
285, 285, 286, 293, 298, 300, 321
Step2: Find the median (Q2)
Since (n = 7) (odd), (Q2) is the (\left(\frac{n + 1}{2}\right))-th value. (\frac{7+1}{2}=4) - th value, so (Q2 = 293)
Step3: Find Q1
The lower - half of the data is 285, 285, 286. Since (n = 3) (odd), (Q1) is the (\left(\frac{3 + 1}{2}\right))-th value. (\frac{3+1}{2}=2) - th value, so (Q1 = 285)
Step4: Find Q3
The upper - half of the data is 298, 300, 321. Since (n = 3) (odd), (Q3) is the (\left(\frac{3+1}{2}\right))-th value. (\frac{3 + 1}{2}=2) - th value, so (Q3=300)
Step5: Calculate the IQR
(IQR=Q3 - Q1=300 - 285=15)
Answer:
15
Brief Explanations:
The inter - quartile range (IQR) is the range of the middle 50% of the data. It is calculated as (Q3 - Q1), where (Q1) is the first quartile (25th percentile) and (Q3) is the third quartile (75th percentile).
Answer:
The IQR is the range of the middle half of weights of Dallas Cowboys defensive linemen.