The accompanying data represent the miles per gallon of a random sample of cars

Question

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 40.6 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? EEB Click the icon to view the data. (a) Compute the z-score corresponding to the individual who obtained 40.6 miles per gallon. Interpret this result. | standard deviation(s) The z-score corresponding to the individual is | | and indicates that the data value is | Type integers or decimals rounded to two decimal places as needed.) the MPG Data 31.6 35.9 37.838.640.242.5 34.4 36.3 37.9 39.1 40.6 42.9 34.6 37.4 38.2 39.641.5 43.2 35.7 37.6 38.5 39.8 41.8 48.9 Enter your answer in the edit fields and then click Check Answer. parts remaining

Explanation / Answer

Solution:- Given that values : 31.6,35.9,37.8,38.6,40.2,42.5,34.4,36.3,37.9,39.1,40.6,42.9,34.6,37.4,38.2,39.6,41.5,43.2,35.7,37.6,38.5,39.8,41.8,48.9

? = 38.94 , ? = 3.6

a. x = 40.6

Z = (x - ?)/? = (40.6-38.94)/3.57 = 0.47

(b) quartiles:

Q1 = 36.85

Q2 = 38.55

Q3 = 41.05

(C) IQR = Q3 - Q1 = 41.05 - 36.85 = 4.2

(d) Lower fence: 30.55
Upper fence: 47.35

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