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:

In the data set below, what is the variance?\newline8,7,4,9,78, 7, 4, 9, 7\newlineIf the answer is a decimal, round it to the nearest tenth.\newlinevariance (σ2)(\sigma^2): _____

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Variance and standard deviationright chevron icon

Full solution

Q. In the data set below, what is the variance?\newline8,7,4,9,78, 7, 4, 9, 7\newlineIf the answer is a decimal, round it to the nearest tenth.\newlinevariance (σ2)(\sigma^2): _____
  1. Calculate Squared Differences: Now, calculate the squared differences from the mean for each data point.\newline(8−7)2+(7−7)2+(4−7)2+(9−7)2+(7−7)2(8 - 7)^2 + (7 - 7)^2 + (4 - 7)^2 + (9 - 7)^2 + (7 - 7)^2\newline=12+02+(−3)2+22+02= 1^2 + 0^2 + (-3)^2 + 2^2 + 0^2\newline=1+0+9+4+0= 1 + 0 + 9 + 4 + 0\newline=14= 14
  2. Find Variance: Next, divide the sum of squared differences by the number of data points to find the variance.\newlineσ2=Σ(xi−μ)2N\sigma^2 = \frac{\Sigma(x_i - \mu)^2}{N}\newlineσ2=145\sigma^2 = \frac{14}{5}\newlineσ2=2.8\sigma^2 = 2.8

More problems from Variance and standard deviation

Question
Select the outlier in the data set. 3333, 4343, 4949, 5757, 6262, 6767, 8181, 561561
Get tutor helpright-arrow

Posted 2 months ago

Question
In the data set below, what is the variance? \newline88 77 66 44 33 \newlineIf the answer is a decimal, round it to the nearest tenth. \newlinevariance (σ2\sigma^2):__
Get tutor helpright-arrow

Posted 3 months ago

Question
What is the mode?\newline7,8,8,7,5,77, 8, 8, 7, 5, 7
Get tutor helpright-arrow

Posted 3 days ago

Question
In the data set below, what are the lower quartile, the median, and the upper quartile?\newline11 22 22 22 22 44 44 55 77 77\newlinelower quartile == ______\newlinemedian == ______\newlineupper quartile == ______
Get tutor helpright-arrow

Posted 2 months ago

Question
In the data set below, what are the lower quartile, the median, and the upper quartile? 1,2,2,2,2,4,4,5,7,71,2,2,2,2,4,4,5,7,7 lower quartile = ‾\underline{\hspace{1cm}} median = ‾\underline{\hspace{1cm}} upper quartile = ‾\underline{\hspace{1cm}}
Get tutor helpright-arrow

Posted 2 months ago

Question
Jerry has a large car which holds 2222 gallons of fuel and gets 2020 miles per gallon. Kate has a smaller car which holds 1616.55 gallons of fuel and gets 3030 miles per gallon. If both cars have a full tank of fuel now and drive the same distance, in how many miles will the remaining fuel in each tank be the same?\newlineChoose 11 answer:\newline(A) 320320\newline(B) 325325\newline(C) 330330\newline(D) 335335
Get tutor helpright-arrow

Posted 1 month ago

Question
Rachel read 33 more books than Topher did over their summer vacation. If Rachel read 77 books, how many books did Topher read?\newlineChoose 11 answer:\newline(A) 33\newline(B) 44\newline(C) 77\newline(D) 1010
Get tutor helpright-arrow

Posted 2 months ago

Question
Lilia wants to exchange US dollars for Euros before traveling to France. Her bank offers her an exchange rate of 11 US dollar to 00.8484 Euros. Approximately how many US dollars does Lilia need to exchange if she wants to receive 350350 Euros from her bank?\newlineChoose 11 answer:\newline(A) 266 \mathbf{2 6 6} \newline(B) 294294\newline(C) 417417\newline(D) 434434
Get tutor helpright-arrow

Posted 4 months ago

Question
Petra waited in line for 7878 minutes for tickets to see her favorite band. How long did she wait in hours?\newlineChoose 11 answer:\newline(A) 00.88\newline(B) 11.11\newline(C) 11.33\newline(D) 11.55
Get tutor helpright-arrow

Posted 4 months ago

Question
A frozen pepperoni pizza has 66 servings. If the pizza contains a total of 11,860860 calories, what is the number of calories per serving?\newlineChoose 11 answer:\newline(A) 11,860860\newline(B) 930930\newline(C) 465465\newline(D) 310310
Get tutor helpright-arrow

Posted 4 months ago

View all (191)