Loren’s friends jump as far as they can and record their results in inches. Their results include the observations 42, 47, 50, 42, 45, 41, 49, 51, and 44. Which number, if added to the dataset, would represent an outlier in the data?(1 point) Responses 52 52 40 40 72 72 44
In order to determine if there is an outlier in the dataset, we can calculate the interquartile range (IQR) and use it to identify any values that fall outside a certain range.
First, we need to find the median of the dataset, which is 44.
Then, we can find the first quartile (Q1) and the third quartile (Q3) of the dataset. Q1 is the median of the lower half of the data, which is 42, and Q3 is the median of the upper half of the data, which is 49.
Next, we can calculate the IQR by subtracting Q1 from Q3: 49 - 42 = 7.
To determine if a value is an outlier, we can use the following rule:
- Any number less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.
Using this rule, the possible outliers for this dataset would be any values less than 30.5 or greater than 60.5.
From the provided options, 72 is the only number that would be considered an outlier, as it is greater than 60.5.
So, the number 72 would represent an outlier in the dataset.