Answer:
Step-by-step explanation:
To find the lower outlier bound in a data set, you can use the formula:
Lower Bound = Q1 - 1.5(IQR)
where Q1 is the first quartile and IQR is the interquartile range, which is calculated as the difference between the third quartile (Q3) and the first quartile (Q1).
Given that Q1 = 72 and Q3 = 85, we can substitute these values into the formula:
Lower Bound = 72 - 1.5(Q3 - Q1)
Lower Bound = 72 - 1.5(85 - 72)
Now, let's calculate the value of the lower bound:
Lower Bound = 72 - 1.5(13)
Lower Bound = 72 - 19.5
Lower Bound = 52.5
Therefore, the lower bound is approximately 52.5 (rounded to one decimal place).
