Select the outlier in the data set. 3, 76, 84, 85, 86, 89, 91, 99

Identify Outlier: Step 1: Identify the data set and look for the number that seems significantly different from the others. Data set: 3, 76, 84, 85, 86, 89, 91, 99 Looking at the numbers, 3 stands out as it is much lower than all other numbers which are close to each other in the range of 76 to 99.Calculate Mean: Step 2: Calculate the mean of the other numbers to confirm if 3 is an outlier. Mean calculation: (76 + 84 + 85 + 86 + 89 + 91 + 99) / 7 = 87 Comparing 3 with 87, it's clear that 3 is far from the mean.Check Mean Change: Step 3: Check if removing 3 significantly changes the mean, which would support it being an outlier. New mean calculation without 3: (76 + 84 + 85 + 86 + 89 + 91 + 99) / 7 = 87 Original mean with 3 included: (3 + 76 + 84 + 85 + 86 + 89 + 91 + 99) / 8 = 76.625 The mean changes significantly, confirming 3 as an outlier.

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Select the outlier in the data set. $\newline$ $3, 76, 84, 85, 86, 89, 91, 99$

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Grade 7

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Q. Select the outlier in the data set.

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3, 76, 84, 85, 86, 89, 91, 99

Identify Outlier: Step $1$ : Identify the data set and look for the number that seems significantly different from the others. $\newline$ Data set: $3, 76, 84, 85, 86, 89, 91, 99$ $\newline$ Looking at the numbers, $3$ stands out as it is much lower than all other numbers which are close to each other in the range of $76$ to $99$ .
Calculate Mean: Step $2$ : Calculate the mean of the other numbers to confirm if $3$ is an outlier. $\newline$ Mean calculation: $(76 + 84 + 85 + 86 + 89 + 91 + 99) / 7 = 87$ $\newline$ Comparing $3$ with $87$ , it's clear that $3$ is far from the mean.
Check Mean Change: Step $3$ : Check if removing $3$ significantly changes the mean, which would support it being an outlier. $\newline$ New mean calculation without $3$ : $(76 + 84 + 85 + 86 + 89 + 91 + 99) / 7 = 87$ $\newline$ Original mean with $3$ included: $(3 + 76 + 84 + 85 + 86 + 89 + 91 + 99) / 8 = 76.625$ $\newline$ The mean changes significantly, confirming $3$ as an outlier.