AnswersHigh School Math 2 AMeasures of Center

Measures of Center Answers

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For which data representation is the median the better measure of center?

A
[Image: Bar graph. The horizontal axis is unnumbered. The ...]
Option A
B
[Image: Unnumbered number line. The first notch has 2 dots...]
Option B
C
[Image: Bar graph. The horizontal axis is unnumbered. The ...]
Option C
D
[Image: Unnumbered number line. The first notch has 1 dot....]
Option D
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✔ The meanX The medianNeither the mean nor the median

A
The mean
B
X The median
C
Neither the mean nor the median
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Explain when the median of a data set is a better measure of center than the mean.

Answer:

When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

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✔ 81.07182.583

A
81.071
B
82.5
C
83
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✔ nearly symmetricalskewedX neither symmetrical nor skewed

A
nearly symmetrical
B
skewed
C
X neither symmetrical nor skewed
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What did you include in your response? Check all that apply.

A
The dot plot or histogram will be skewed.
B
The mean is pulled up or down toward the tail.
C
The mean is affected more than the median.
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Answer not available
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Use the histogram to answer the questions.

Answers:
What type of distribution is this?:skewed
What is the mean?:81.071
What is the median?:83
Which measure of center is the best choice for this data set?:median

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