Select the outlier in the data set. 69, 75, 77, 79, 81, 82, 84, 647

List Data Set: List the data set and observe the values to identify any number that appears to be significantly different from the rest. Data set: 69, 75, 77, 79, 81, 82, 84, 647 Observation: The number 647 stands out as it is much larger than all other numbers in the set.Calculate Range: Calculate the range of the data set excluding the suspected outlier to see if 647 is significantly outside this range. Excluding 647, the smallest number is 69 and the largest is 84. Range without 647 = Largest number - Smallest number = 84 - 69 = 15Compare Outlier: Compare the suspected outlier to the range of the rest of the data. The number 647 is much larger than the largest number in the set without the outlier (84) and is far outside the range of 15 calculated in Step 2.Determine Outlier: Determine if 647 is an outlier based on the comparison. Since 647 is significantly larger than the rest of the numbers and lies outside the range of the other values, it can be considered an outlier.

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Select the outlier in the data set. $\newline$ $69, 75, 77, 79, 81, 82, 84, 647$

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Grade 7

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Q. Select the outlier in the data set.

\newline

69, 75, 77, 79, 81, 82, 84, 647

List Data Set: List the data set and observe the values to identify any number that appears to be significantly different from the rest. $\newline$ Data set: $69, 75, 77, 79, 81, 82, 84, 647$ $\newline$ Observation: The number $647$ stands out as it is much larger than all other numbers in the set.
Calculate Range: Calculate the range of the data set excluding the suspected outlier to see if $647$ is significantly outside this range. $\newline$ Excluding $647$ , the smallest number is $69$ and the largest is $84$ . $\newline$ Range without $647 = \text{Largest number} - \text{Smallest number} = 84 - 69 = 15$
Compare Outlier: Compare the suspected outlier to the range of the rest of the data. The number $647$ is much larger than the largest number in the set without the outlier ( $84$ ) and is far outside the range of $15$ calculated in Step $2$ .
Determine Outlier: Determine if $647$ is an outlier based on the comparison. $\newline$ Since $647$ is significantly larger than the rest of the numbers and lies outside the range of the other values, it can be considered an outlier.