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Kazeer [188]
3 years ago
5

Pamela called nine repair shops for quotes for auto repairs. The prices are $139, $150, $345, $99, $167, $155, $140, $200, and $

160. She thinks there is a chance that there is an outlier and the data may be biased. Which measure of central tendency should she choose and what value would best represent the central tendency?
Mathematics
1 answer:
ASHA 777 [7]3 years ago
5 0

Answer:

Step-by-step explanation:

The prices of quoted of auto repairs are as listed below;

$139, $150, $345, $99, $167, $155, $140, $200.

For her to check whether there is an outlier in the data, she needs to find the mean of the set of data. An outlier is a value in a set of a data that varies considerably from other data in a dataset. It may be larger or smaller than other set of datas. An outlier can affect the decision of a set of data to be analysed if nor taken care of.

From the data, the possible outliers are $99 and $345

Mean of the data = sum of all the prices/sample size

xbar = \sum Xi / N

Xi are individual datas

\sum Xi = $139+$150+$345+$99+$167+$155+$140+$200+$160

\sumXi = $1555

Sample size = 9

Mean = $1555/9

Mean = $172.78

Hence the value that would best represent the central tendency is $177.78

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Step-by-step explanation:

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Answer:

B- For an equal number of servings, the bananas will have three times as much sugar

Step-by-step explanation:

The complete question is

A carrot has 5 grams of sugar per serving. A banana has 15 grams of sugar per serving. Which statement is true?

A- There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas.

B- For an equal number of servings, the bananas will have three times as much sugar.

C- For an equal number of servings, the bananas will always have 10 more grams of sugar.

D- The amount of sugar in two servings of carrots is 30 grams.

<u><em>Verify each statement</em></u>

A- <u>There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas</u>

The statement is False

Because

In 10 servings of carrots there are 10(5)=50 grams of sugar

In 5 servings of banana there are 5(15)=75 grams of sugar

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B- <u>For an equal number of servings, the bananas will have three times as much sugar</u>

The statement is true

Because

In one serving of carrots there are 5 grams of sugar

In one serving of bananas there are 15 grams of sugar

The ratio of grams of sugar in a serving of bananas to grams of sugar in a serving of carrots is 15:5

Simplify

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therefore

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The statement is False

Because

In 10 servings of carrots there are 10(5)=50 grams of sugar

In 10 servings of banana there are 10(15)=150 grams of sugar

so

50+10\neq 150

D- <u>The amount of sugar in two servings of carrots is 30 grams</u>

The statement is False

Because

In 2 servings of carrots there are 2(5)=10 grams of sugar

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