Select the outlier in the data set. 61, 71, 83, 84, 85, 88, 94, 744

Identify Outlier: List the data set and observe the values to identify any number that appears to be significantly different from the rest. Data set: 61, 71, 83, 84, 85, 88, 94, 744 Observation: All numbers except for 744 are within a similar range (61 to 94). The number 744 stands out as it is much larger than the others.Calculate Range: To confirm the outlier, we can calculate the range and see if 744 is far outside the typical range of the data. Range = Maximum value - Minimum value Range = 744 - 61 = 683 The range is heavily influenced by the number 744, which suggests it is an outlier.Confirm Outlier: Another method to confirm the outlier is to calculate the mean and standard deviation and see if 744 is more than 3 standard deviations away from the mean. However, in this case, since 744 is clearly much larger than all other values and the next highest value is 94, we can conclude that 744 is an outlier without further calculations.

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Select the outlier in the data set. $\newline$ $61, 71, 83, 84, 85, 88, 94, 744$

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Grade 7

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Q. Select the outlier in the data set.

\newline

61, 71, 83, 84, 85, 88, 94, 744

Identify Outlier: List the data set and observe the values to identify any number that appears to be significantly different from the rest. $\newline$ Data set: $61, 71, 83, 84, 85, 88, 94, 744$ $\newline$ Observation: All numbers except for $744$ are within a similar range ( $61$ to $94$ ). The number $744$ stands out as it is much larger than the others.
Calculate Range: To confirm the outlier, we can calculate the range and see if $744$ is far outside the typical range of the data. $\text{Range} = \text{Maximum value} - \text{Minimum value}$ $\text{Range} = 744 - 61 = 683$ The range is heavily influenced by the number $744$ , which suggests it is an outlier.
Confirm Outlier: Another method to confirm the outlier is to calculate the mean and standard deviation and see if $744$ is more than $3$ standard deviations away from the mean. However, in this case, since $744$ is clearly much larger than all other values and the next highest value is $94$ , we can conclude that $744$ is an outlier without further calculations.