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.\newline3,65,69,73,78,80,84,903, 65, 69, 73, 78, 80, 84, 90\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.\newline3,65,69,73,78,80,84,903, 65, 69, 73, 78, 80, 84, 90\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: 3,65,69,73,78,80,84,903, 65, 69, 73, 78, 80, 84, 90. To find the outlier, we can look for a number that is significantly different from the rest of the data. In this case, 33 is much lower than all other numbers, which are all above 6060.
  2. Calculate Mean with Outlier: Calculate the mean of the data set with the outlier included: (3+65+69+73+78+80+84+90)/8(3 + 65 + 69 + 73 + 78 + 80 + 84 + 90) / 8. Perform the addition: 3+65+69+73+78+80+84+90=5423 + 65 + 69 + 73 + 78 + 80 + 84 + 90 = 542. Now divide by the number of data points: 542/8=67.75542 / 8 = 67.75. The mean with the outlier is 67.7567.75.
  3. Calculate Mean without Outlier: Calculate the mean of the data set without the outlier: (65+69+73+78+80+84+90)/7(65 + 69 + 73 + 78 + 80 + 84 + 90) / 7. Perform the addition: 65+69+73+78+80+84+90=53965 + 69 + 73 + 78 + 80 + 84 + 90 = 539. Now divide by the number of data points: 539/7≈77539 / 7 \approx 77. The mean without the outlier is approximately 7777.
  4. Compare Mean with and without Outlier: Compare the two means to determine if the mean would increase or decrease upon the removal of the outlier.\newlineThe mean with the outlier is 67.7567.75, and the mean without the outlier is approximately 7777.\newlineSince 7777 is greater than 67.7567.75, the mean would increase if the outlier were removed.

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.\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
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

View all (14)

Related topics

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