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.\newline7,75,77,78,83,84,92,977, 75, 77, 78, 83, 84, 92, 97\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.\newline7,75,77,78,83,84,92,977, 75, 77, 78, 83, 84, 92, 97\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: 7,75,77,78,83,84,92,977, 75, 77, 78, 83, 84, 92, 97. An outlier is a data point that is significantly different from the rest of the data. We can often spot an outlier by looking for a number that is much smaller or larger than the rest. In this case, 77 is much smaller than all other numbers in the set, so it is the outlier.
  2. Calculate Mean with Outlier: Calculate the mean of the data set with the outlier included.\newlineTo find the mean, add all the numbers together and divide by the number of data points.\newlineMean = (7+75+77+78+83+84+92+97)/8(7 + 75 + 77 + 78 + 83 + 84 + 92 + 97) / 8\newlineMean = (583)/8(583) / 8\newlineMean = 72.87572.875
  3. Calculate Mean without Outlier: Calculate the mean of the data set without the outlier.\newlineRemove 77 from the data set and calculate the new mean.\newlineNew Mean = (75+77+78+83+84+92+97)/7(75 + 77 + 78 + 83 + 84 + 92 + 97) / 7\newlineNew Mean = (586)/7(586) / 7\newlineNew Mean = 83.714285714383.7142857143
  4. Compare Mean Changes: Compare the two means to determine if the mean would increase or decrease with the removal of the outlier. The original mean with the outlier was 72.87572.875, and the new mean without the outlier is 83.714285714383.7142857143. Since the new mean is higher than the original mean, the mean would increase if the outlier were removed.

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

Question
In the data set below, what is the mean absolute deviation?\newline6,3,1,6,66,3,1,6,6\newlineIf the answer is a decimal, round it to the nearest tenth. \newlinemean absolute deviation (MAD): _____
Get tutor helpright-arrow

Posted 8 months ago

Question
Look at this set of 88 numbers: 60,38,93,14,23,81,12,6460, 38, 93, 14, 23, 81, 12, 64, How would the range change if the number 1818 replaced the number 1212 in the set?\newlineChoices:\newline[A]increase\newline[B]decrease\newline[C]no change
Get tutor helpright-arrow

Posted 7 months ago

Question
Liam has the following data: 20,7,x,2020,7,x,20. If the mean is 1414, which number could xx be?\newlineChoices:\newline(A)9(A)9\newline(B)21(B)21
Get tutor helpright-arrow

Posted 8 months ago

Question
g=15−m32 g=15-\frac{m}{32} \newlineIf Vera starts with a full tank of gas, the number of gallons of gas, g g , left in the tank after driving m m miles is given by the equation. When full, how many gallons of gas does Vera's tank hold?\newlineChoose 11 answer:\newline(A) 1515 gallons\newline(B) 1717 gallons\newline(C) 3232 gallons\newlineD 480480 gallons
Get tutor helpright-arrow

Posted 10 months ago

Question
x−3y=8 x-3 y=8 \newliney2=x−4y−2 y^{2}=x-4 y-2 \newlineIf (x,y) (x, y) is a solution to the system of equations shown, which of the following are y y -coordinates of the solutions?\newlineChoose 11 answer:\newline(A) −1-1 and −3-3\newline(B) 1414 and 22\newline(C) −2-2 and 33\newline(D) 22 and −3-3
Get tutor helpright-arrow

Posted 8 months ago

Question
Which of the following expressions is equivalent to −2xy+18 -2 x y+18 ?\newlineChoose 11 answer:\newline(A) −2(xy−9) -2(x y-9) \newline(B) −2(xy+9) -2(x y+9) \newline(C) 2(xy−9) 2(x y-9) \newline(D) 2(xy+9) 2(x y+9)
Get tutor helpright-arrow

Posted 8 months ago

Question
What is the value of tan⁡(π3) \tan \left(\frac{\pi}{3}\right) ?\newlineChoose 11 answer:\newline(A) 12 \frac{1}{2} \newline(B) 33 \frac{\sqrt{3}}{3} \newline(C) 32 \frac{\sqrt{3}}{2} \newline(D) 3 \sqrt{3}
Get tutor helpright-arrow

Posted 10 months ago

Question
Which of the following is the value of tan⁡(π) \tan (\pi) ?\newlineChoose 11 answer:\newline(A) 11\newline(B) 00\newline(C) −1-1\newline(D) tan⁡(π) \tan (\pi) is undefined.
Get tutor helpright-arrow

Posted 10 months ago

Question
Which of the following is the value of sin⁡(π2)? \sin \left(\frac{\pi}{2}\right) ? \newlineChoose 11 answer:\newline(A) −1-1\newline(B) 00\newline(C) 22 \frac{\sqrt{2}}{2} \newline(D) 11
Get tutor helpright-arrow

Posted 10 months ago

Question
3x+y=37x−y=2 \begin{array}{l} 3 x+y=3 \\ 7 x-y=2 \end{array} \newlineThe given system of equations has solution (x,y) (x, y) . What is the value of x x ?
Get tutor helpright-arrow

Posted 5 months ago

View all (109)

Related topics

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