per your answer:
Answer:
Step-by-step explanation:
To determine if there are any outliers in the data, we can use the interquartile range (IQR) method. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). To calculate the IQR, we first need to order the data from least to greatest.
$5, $40, $45, $50, $53, $55, $90, $155, $167
The median is the middle value, which is $53. The first quartile (Q1) is the median of the lower half of the data, which is $45. The third quartile (Q3) is the median of the upper half of the data, which is $90.
The IQR is then calculated as follows:
IQR = Q3 - Q1 = $90 - $45 = $45
An outlier is any value that is more than 1.5 IQRs below Q1 or above Q3. In this case, the lower outlier bound is Q1 - 1.5 * IQR = $45 - 1.5 * $45 = -$18.75. The upper outlier bound is Q3 + 1.5 * IQR = $90 + 1.5 * $45 = $180.
Therefore, any value less than -$18.75 or greater than $180 is considered an outlier. In this data set, there are two outliers: $5 and $167.
It is important to note that the IQR method is just one way to detect outliers. There are other methods that may be more appropriate for certain data sets.
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how is 167 an outlier it is less than 180
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also how did you figure the lower and high Q1 & Q3?Ā I'm not coming up with the same #.Ā Ā
$45 - 1.5 * $45
$90 + 1.5 * $45 = $180