The accompanying data represent the miles per gallon of a random sample of cars with a​ three-cylinder, 1.0 liter engine.
​(a) compute the​ z-score corresponding to the individual who obtained 37.8 miles per gallon. interpret this result.
​(b) determine the quartiles.
​(c) compute and interpret the interquartile​ range, iqr.
​(d) determine the lower and upper fences. are there any​outliers?
31.5 36.0 37.8 38.5 40.1 42.2
34.2 36.2 38.1 38.7 40.6 42.5
34.7 37.3 38.2 39.5 41.4 43.4
35.6 37.6 38.4 39.6 41.7 49.3
the​ z-score corresponding to the individual is
and indicates that the data value is
standard​ deviation(s) the
the table is for the entire problem.

Answers

Answer 1

Answer:

A.) - 0.2992

B.) Q1 = 36.75

Q2 = 38.45

Q3 = 41

C.) IQR = 4.25

D.) LOWER FENCE = 30.375

UPPER FENCE = 47.375

Yes, 49.3

Step-by-step explanation:

Given the data:

Arranged data in ascending order :

31.5, 34.2, 34.7, 35.6, 36.0, 36.2, 37.3, 37.6, 37.8, 38.1, 38.2, 38.4, 38.5, 38.7, 39.5, 39.6, 40.1, 40.6, 41.4, 41.7, 42.2, 42.5, 43.4, 49.3

Using calculator to save computation time :

Population mean (μ) = 38.88

Standard deviation (s) = 3.61

A.) The zscore for individual who obtained 37.8 miles per gallon :

Standardized score formula :

Z = (Score(x) - mean) / standard deviation

Z = (37.8 - 38.88) / 3.61

Z = - 1.08 / 3.61

Z = - 0.29916

Z = - 0.2992

B) The quartile ;

Lower quartile (Q1) :

1/4(n +1)th term

n = sample size = 24

1/4(24 + 1)

= 1/4(25) = 6.25th term

(6th + 7th) =(36.2 + 37.3) = 73.5/2 = 36.75

Upper quartile (Q3) :

3/4(24 +1) = 3/4(25) = 18.75th term

(18th + 19th) = (40.6 + 41.4) = 82/2 = 41

Median (Q2) :

1/2(24 +1) = 1/2(25) = 12.50th term

(12th + 13th) = (38.4 + 38.5) = 76.9/2 = 38.45

C.) interquartile range :

Q3 - Q1 = (41 - 36.75) = 4.25

D.) OUTLIER

LOWER : Q1 - 1.5(IQR) = 36.75 - 1.5(4.25) = 30.375 ; values less than 30.375

UPPER : Q3 + 1.5(IQR) = 41 + 1.5(4.25) = 47.375 ; values greater than. 47.375


Related Questions

On a photograph an ant is enlarged at a scale 25:1. In the photo, the ant's leg is 15 cm. What is the actual length of the ant's leg?

Answers

Answer:

3/5cm

Step-by-step explanation:

Let's solve your equation step-by-step.

x(25)=15

Step 1: Simplify both sides of the equation.

25x=15

Step 2: Divide both sides by 25.

25x /25 = 15/25

x = 3/5

Actual length of ant's leg is 0.6cm

Let the actual length of ant's leg = a

Scale = 25 : 1

Length in photo = 15 cm

Express as a an equation :

25 × actual length = 1 × length in photo

25a = 15

a = 15 / 25

a = 0.6

Hence, actual length of ant's leg is 0.6cm

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

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Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define expression

(2x - 6) + 4(x - 3)

Step 2: Simplify

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Answers

Answer:

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Step-by-step explanation:

Given

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Required

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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(sorry if this is confusing)

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

An employee of an auction house has a list of 25 recently sold paintings. Eight artists were represented in these sales. The sale price of each painting is on the list. Would the correlation coefficient be an appropriate way to summarize the relationship between artist (x) and sale price (y)? Why or why not?

Answers

Answer:

Step-by-step explanation:

Given that:

A list of 25 recently sold paintings in an auction house is available, and eight artists were represented in the sales.

The objective is to determine if the correlation coefficient would be an appropriate way to summarize the relationship between the artist (x) and sale price (y).

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Answers

Answer:

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Step-by-step explanation:

8.465>8.445

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

1. one orange x tile

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Step-by-step explanation:

The situation can be represented as an algebraic expression as:  

y = x + 6

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Bernadette bought six more fish for her tank,

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Answers

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Step-by-step explanation:

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