Question
The formula for finding the lower outlier bound in a data set is: lower bound =Q1-1.5 (IQR) where IQR =Q3-Q1 Find the lower bound if Q1 =66 and Q3=85 Round to one decimal place
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Answer to a math question The formula for finding the lower outlier bound in a data set is: lower bound =Q1-1.5 (IQR) where IQR =Q3-Q1 Find the lower bound if Q1 =66 and Q3=85 Round to one decimal place
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Solution:
1. Calculate the interquartile range (IQR):
* Given:
-Q1 = 66
-Q3 = 85
*IQR = Q3 - Q1 = 85 - 66 = 19
2. Apply the formula for the lower outlier bound:
* Lower Bound =Q1 - 1.5 \times IQR
* Lower Bound =66 - 1.5 \times 19
* Lower Bound =66 - 28.5
* Lower Bound =37.5
3. The lower outlier bound rounded to one decimal place is:
37.5
1. Calculate the interquartile range (IQR):
* Given:
-
-
*
2. Apply the formula for the lower outlier bound:
* Lower Bound =
* Lower Bound =
* Lower Bound =
* Lower Bound =
3. The lower outlier bound rounded to one decimal place is:
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