Answer:
The interquartile range of both sets is equal to 1 hour.
The data sets exhibit similar variability, or spread.
Step-by-step explanation:
Here is the question (attachment).
Random survey of the seventh and eighth grades students.
- Interquartile range (IQR) :
The IQR is the range of the middle 50% of scores.
IQR = Upperquartile - Lowerquartile
IQR = Q3 -Q1
IQR of (seventh grader) = [tex]4-3 =1[/tex]
IQR of (eight grader) = [tex]4.5-3.5=1[/tex]
- Normal curve represents perfect symmetric distribution as median and mean lie on the same position so they are neither negatively skewed nor positively skewed.
- None of the data is skewed more or less.
- Regarding the spread it exhibits similar variability.
- In similar variability the range is same.
- Range is the difference between highest and lowest values.
- Range = [tex]R_7(4.5-2.5)=2,\ R_8=(5-3)=2[/tex]
Conclusion:
The interquartile range of both sets is equal to 1 hour.
The data sets exhibit similar variability, or spread.
