Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Select the outlier in the data set. $\newline$ $9, 65, 67, 69, 74, 77, 78, 86, 96$ $\newline$ If the outlier were removed from the data set, would the mean increase or decrease? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease

View step-by-step help

View step-by-step help

Identify an outlier and describe the effect of removing it

Full solution

Q. Select the outlier in the data set.

\newline

9, 65, 67, 69, 74, 77, 78, 86, 96

\newline

If the outlier were removed from the data set, would the mean increase or decrease?

\newline

Choices:

\newline

(A)increase

\newline

(B)decrease

Arrange Data Set: Arrange the data set in ascending order. $\newline$ The data set is already in ascending order: $9$ , $65$ , $67$ , $69$ , $74$ , $77$ , $78$ , $86$ , $96$ .
Calculate Median: Calculate the median of the data set. $\newline$ The middle term of the given data set is $74$ . $\newline$ Median: $74$
Calculate Quartiles: Calculate the first and third quartiles ( $Q1$ and $Q3$ ). $\newline$ The lower half of the data set for $Q1$ is $9$ , $65$ , $67$ , $69$ . $\newline$ The median of this lower half is the average of $65$ and $67$ . $\newline$ $Q1$ : $Q3$ $0$ $\newline$ The upper half of the data set for $Q3$ is $Q3$ $2$ , $Q3$ $3$ , $Q3$ $4$ , $Q3$ $5$ . $\newline$ The median of this upper half is the average of $Q3$ $3$ and $Q3$ $4$ . $\newline$ $Q3$ : $Q3$ $9$
Calculate IQR: Calculate the interquartile range (IQR). $IQR = Q3 - Q1 = 82 - 66 = 16$
Determine Outlier Boundaries: Determine the outlier boundaries. $\newline$ Lower boundary = $Q1 - 1.5 \times IQR = 66 - 1.5 \times 16 = 66 - 24 = 42$ $\newline$ Upper boundary = $Q3 + 1.5 \times IQR = 82 + 1.5 \times 16 = 82 + 24 = 106$
Identify Outlier: Identify the outlier(s). $\newline$ The value $9$ is below the lower boundary of $42$ , so it is an outlier. $\newline$ Outlier: $9$
Effect on Mean: Determine the effect of removing the outlier on the mean. $\newline$ Removing a value that is lower than the mean will increase the overall mean of the data set.

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

Question

Michael surveyed

2

politicians from his state about their views on certain issues.

\newline

Is this sample of citizens of the state likely to be biased?

\newline

\newline

\newline

Posted 7 months ago

Question

Read the following description of an experiment.

\newline

A massage therapist has received complaints that the fragrance of her massage oil is unpleasant. She is testing whether a new oil will improve each clients' experience.

\newline

The massage therapist randomly sorts her clients into two groups. She massages

5

clients from the first group with the new oil and

5

from the other group with her usual oil. She asks all

10

clients to rate their massages.

\newline

Is this experiment statistically well designed?

\newline

\newline

\newline

Posted 7 months ago

Question

A random sample of

35

four-door passenger vehicles had a mean gas mileage, in miles per gallon

(\mathrm{mpg})

25.9 \mathrm{mpg}

. The estimate had a margin of error of

2.6 \mathrm{mpg}

98 \%

confidence level. Of the following, which is the most plausible value for the true mean gas mileage of all four-door passenger vehicles?

\newline

1

\newline

24 \mathrm{mpg}

\newline

29 \mathrm{mpg}

\newline

32 \mathrm{mpg}

\newline

35 \mathrm{mpg}

Posted 8 months ago

Question

1

578

randomly selected American adults,

44.8 \%

of the respondents said that airlines should allow in-flight calls on airplanes. The poll reported a margin of error of

2.5 \%

95 \%

confidence level. Which of the following is most likely to be equal to the percentage of all American adults who would say that airlines should allow in-flight calls?

\newline

1

\newline

40 \%

\newline

43 \%

\newline

48 \%

\newline

95 \%

Posted 10 months ago

Question

Malik walked up and back down an empty

18 \mathrm{~m}

long escalator at a constant rate. Since the escalator was going up at the time, it took him only

22.5 \mathrm{~s}

. Going down took Malik

90

s. Assume the escalator speed is constant.

\newline

What was Malik's walking speed?

\newline

\frac{\mathrm{m}}{\mathrm{s}}

Posted 8 months ago

Question

Two baseball players are warming up by throwing balls to the catcher. The two players are located

10

yards apart, and the angle from each player to the catcher is

55^{\circ}

71^{\circ}

, respectively. What is the distance from the farthest baseball player to the catcher?

\newline

10.125

\newline

11.687

\newline

14.501

\newline

14.790

Posted 8 months ago

Question

Select the outlier in the data set.

\newline

74,84,86,87,89,91,92,98,126

Posted 8 months ago

Question

p

\begin{array}{l}\frac{p}{8}=\frac{7}{9} \\p=\square\end{array}

Posted 8 months ago

Question

Jelani needs to hire at least

12

artists for an upcoming event. He needs to hire visual artists, who will be paid

\$300

for the event, and performers, who will be paid

\$480

for the event. His budget for paying the artists is no more than

\$6,000

. He must hire at least

4

visual artists and at least

3

performers. Which of the following does not satisfy all of the conditions described?

\newline

1

\newline

4

visual artists and

10

\newline

8

visual artists and

8

\newline

\$300

0

visual artists and

3

\newline

\$300

2

visual artists and

4

Posted 8 months ago

Question

\newline

k^2 + 9k + 18

\newline

\newline

Posted 8 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant