A teacher recorded the test scores of two classes. Class A scores: $60, 65, 70, 75, 80, 85, 90$. Class B scores: $50, 60, 70, 75, 80, 90, 100. Which statement accurately compares the variability of the two classes using the Interquartile Range (IQR)?
Question 2
A data set has a first quartile ($Q_1$) of $12$ and an Interquartile Range (IQR) of $18$. If the highest value in the data set is $50$ and the lowest value is $5$, what is the third quartile ($Q_3$)?
Question 3
Consider a data set where the range is $40$. If an outlier is introduced that is significantly larger than the maximum value, how will this affect the range and the Interquartile Range (IQR)?
Question 4
A data set has the following values: $10, 12, 15, 18, 20, 22, 25, 28, 30, 100. Which of the following statements is true about the outlier in this data set?
Question 5
A data set has a first quartile ($Q_1$) of $25$ and a third quartile ($Q_3$) of $40$. If a new data point, $10$, is added to the set, how will this affect the Interquartile Range (IQR)?
