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. \newline74,84,86,87,88,91,92,94,97974, 84, 86, 87, 88, 91, 92, 94, 979

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Introduction to sigma notationright chevron icon

Full solution

Q. Select the outlier in the data set. \newline74,84,86,87,88,91,92,94,97974, 84, 86, 87, 88, 91, 92, 94, 979
  1. List Data Set: List the data set in order to visualize the numbers and identify any number that appears to be significantly different from the others.\newlineData set: 74,84,86,87,88,91,92,94,97974, 84, 86, 87, 88, 91, 92, 94, 979
  2. Calculate Mean: Calculate the mean (average) of the data set by adding all the numbers together and dividing by the total number of data points.\newlineMean = (74+84+86+87+88+91+92+94+979)/9(74 + 84 + 86 + 87 + 88 + 91 + 92 + 94 + 979) / 9\newlineMean = (1675)/9(1675) / 9\newlineMean ≈186.11\approx 186.11
  3. Skip Standard Deviation: Calculate the standard deviation to understand the spread of the data. However, for a quick outlier check, we can skip this step and look for a number that is significantly different from the others, which would be an outlier.
  4. Compare to Mean: Compare each number in the data set to the mean to see if any number is significantly higher or lower than the mean. The number 979979 stands out as it is much higher than the rest of the numbers and the mean.
  5. Identify Outlier: Conclude that the number 979979 is the outlier in the data set because it is significantly different from all other numbers in the set.

More problems from Introduction to sigma notation

Question
Find the sum of the finite arithmetic series. ∑n=110(7n+4)\sum_{n=1}^{10} (7n+4)\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Type the missing number in this sequence: `55,\59,\63,\text{_____},\71,\75,\79`
Get tutor helpright-arrow

Posted 2 months ago

Question
Type the missing number in this sequence: `2, 4 8`, ______,`32`
Get tutor helpright-arrow

Posted 2 months ago

Question
What kind of sequence is this? 2,10,50,250,…2, 10, 50, 250, \ldots Choices:Choices:\newline[A]arithmetic\text{[A]arithmetic}\newline[B]geometric\text{[B]geometric}\newline[C]both\text{[C]both}\newline[D]neither\text{[D]neither}
Get tutor helpright-arrow

Posted 2 months ago

Question
What is the missing number in this pattern? 1,4,9,16,25,36,49,64,81,____1, 4, 9, 16, 25, 36, 49, 64, 81, \_\_\_\_
Get tutor helpright-arrow

Posted 2 months ago

Question
Classify the series. ∑n=012(n+2)3 \sum_{n = 0}^{12} (n + 2)^3 \newlineChoices:\newline[A]arithmetic\text{[A]arithmetic}\newline[B]geometric\text{[B]geometric}\newline[C]both\text{[C]both}\newline[D]neither\text{[D]neither}
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the first three partial sums of the series.\newline1+6+11+16+21+26+⋯1 + 6 + 11 + 16 + 21 + 26 + \cdots\newlineWrite your answers as integers or fractions in simplest form.\newlineS1=S_1 = ____\newlineS2=S_2 = ____\newlineS3=S_3 = ____
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the third partial sum of the series. \newline3+9+15+21+27+33+⋯3 + 9 + 15 + 21 + 27 + 33 + \cdots\newlineWrite your answer as an integer or a fraction in simplest form. \newlineS3=S_3 = ____
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the first three partial sums of the series. \newline1+7+13+19+25+31+⋯1 + 7 + 13 + 19 + 25 + 31 + \cdots\newlineWrite your answers as integers or fractions in simplest form. \newlineS1=S_1 = ____\newlineS2=S_2 = ____\newlineS3=S_3 = ____
Get tutor helpright-arrow

Posted 3 months ago

Question
Does the infinite geometric series converge or diverge?\newline1+34+916+2764+⋯1 + \frac{3}{4} + \frac{9}{16} + \frac{27}{64} + \cdots\newlineChoices:\newline[A]converge\text{[A]converge}\newline[B]diverge\text{[B]diverge}
Get tutor helpright-arrow

Posted 2 months ago

View all (15)