Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Select the outlier in the data set.\newline6,75,77,84,86,93,97,996, 75, 77, 84, 86, 93, 97, 99\newlineIf the outlier were removed from the data set, would the mean increase or decrease?\newlineChoices:\newline(A)increase\newline(B)decrease

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Identify an outlier and describe the effect of removing itright chevron icon

Full solution

Q. Select the outlier in the data set.\newline6,75,77,84,86,93,97,996, 75, 77, 84, 86, 93, 97, 99\newlineIf the outlier were removed from the data set, would the mean increase or decrease?\newlineChoices:\newline(A)increase\newline(B)decrease
  1. Identify Outlier: Identify the outlier in the given data set.\newlineThe data set is: 6,75,77,84,86,93,97,996, 75, 77, 84, 86, 93, 97, 99.\newlineAn outlier is a data point that is significantly different from the rest of the data. We can visually inspect the data set and see that the number 66 is much smaller than all the other numbers.
  2. Calculate Mean with Outlier: Calculate the mean of the data set with the outlier included.\newlineMean = (6+75+77+84+86+93+97+99)/8(6 + 75 + 77 + 84 + 86 + 93 + 97 + 99) / 8\newlineMean = (617)/8(617) / 8\newlineMean = 77.12577.125
  3. Calculate Mean without Outlier: Calculate the mean of the data set without the outlier.\newlineMean without outlier = (75+77+84+86+93+97+99)/7(75 + 77 + 84 + 86 + 93 + 97 + 99) / 7\newlineMean without outlier = (611)/7(611) / 7\newlineMean without outlier = 87.285787.2857 (rounded to four decimal places)
  4. Compare Mean Difference: Compare the two means to determine if the mean would increase or decrease with the removal of the outlier. The mean with the outlier is 77.12577.125, and the mean without the outlier is 87.285787.2857. Since the mean without the outlier is greater, removing the outlier would increase the mean.

More problems from Identify an outlier and describe the effect of removing it

Question
We want to factor the following expression:\newlinex4−14x2+49 x^{4}-14 x^{2}+49 \newlineWhich pattern can we use to factor the expression?\newlineU U and V V are either constant integers or single-variable expressions.\newlineChoose 11 answer:\newline(A) (U+V)2 (U+V)^{2} or (U−V)2 (U-V)^{2} \newline(B) (U+V)(U−V) (U+V)(U-V) \newline(C) We can't use any of the patterns.
Get tutor helpright-arrow

Posted 10 months ago

Question
Point J J is located at (−4,4) (-4,4) .\newlineSelect all of the following that are 44 units from point J J .\newlineChoose all answers that apply:\newline(A) x x -axis\newline(B) (−4,8) (-4,8) \newline(C) y y -axis
Get tutor helpright-arrow

Posted 9 months ago

Question
Here are four matrices:\newlineA=[345]B=[−1−304]C=[210]D=[−523−4] \begin{array}{l} \mathbf{A}=\left[\begin{array}{l} 3 \\ 4 \\ 5 \end{array}\right] \quad \mathbf{B}=\left[\begin{array}{cc} -1 & -3 \\ 0 & 4 \end{array}\right] \\ \mathbf{C}=\left[\begin{array}{l} 2 \\ 1 \\ 0 \end{array}\right] \quad \mathbf{D}=\left[\begin{array}{ll} -5 & 2 \\ 3 & -4 \end{array}\right] \end{array} \newlineWhich of the following calculations are possible?\newlineChoose all answers that apply:\newline(A) A+C \mathbf{A}+\mathbf{C} \newline(B) B+C \mathbf{B}+\mathbf{C} \newline(C) C−A \mathbf{C}-\mathbf{A} \newline(D) D−B \mathbf{D}-\mathbf{B}
Get tutor helpright-arrow

Posted 9 months ago

Question
What is the median?\newline4,8,−4,2,14, 8, -4, 2, 1\newline_____
Get tutor helpright-arrow

Posted 8 months ago

Question
What is the mode?\newline−4,−6,−10,−4,−6,−4,−10,−4-4, -6, -10, -4, -6, -4, -10, -4\newline_____
Get tutor helpright-arrow

Posted 8 months ago

Question
Select the outlier in the data set.\newline50,60,68,86,87,91,99,34750, 60, 68, 86, 87, 91, 99, 347\newlineIf the outlier were removed from the data set, would the mean increase or decrease?\newlineChoices:\newline(A)increase\newline(B)decrease
Get tutor helpright-arrow

Posted 8 months ago

Question
Select the outlier in the data set.\newline8,75,79,84,85,92,94,968, 75, 79, 84, 85, 92, 94, 96\newlineIf the outlier were removed from the data set, would the mean increase or decrease?\newlineChoices:\newline(A)increase\newline(B)decrease
Get tutor helpright-arrow

Posted 8 months ago

Question
Select the outlier in the data set.\newline6,62,80,82,84,88,92,996, 62, 80, 82, 84, 88, 92, 99\newlineIf the outlier were removed from the data set, would the mean increase or decrease?\newlineChoices:\newline(A)increase\newline(B)decrease
Get tutor helpright-arrow

Posted 8 months ago

Question
Select the outlier in the data set.\newline8,62,66,73,77,80,84,938, 62, 66, 73, 77, 80, 84, 93\newlineIf the outlier were removed from the data set, would the mean increase or decrease?\newlineChoices:\newline(A)increase\newline(B)decrease
Get tutor helpright-arrow

Posted 8 months ago

Question
You pick a card at random, put it back, and then pick another card at random.\newline44\newline55\newline66\newline77\newlineWhat is the probability of picking a number greater than 55 and then picking a 44 ?\newlineWrite your answer as a percentage.
Get tutor helpright-arrow

Posted 1 month ago

View all (14)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant