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 35.4 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? Click the icon to view the data. (a) Compute the z-score corresponding to the individual who obtained 35 4 miles per gallon. Interpret this result The z-score corresponding to the individual isand indicates that the data value is Type integers or decimals rounded to two decimal places as needed) standard deviation s the MPG Data 323 35.9 380 387 40.3 42.3 340364 -381-389406 -427 -344 -374382-39 6 415 434 354 377 385 398 418 488 Print Done

Explanation / Answer

The data is

32.3,35.9,38,38.7,40.3,42.3,34,36.4,38.1,38.9,40.6,42.7,34.4,37.4,38.2,39.6,41.5,43.4,35.4,37.7,38.5,39.8,41.8,48.8

So using technology,we get

mean,=38.94583

sd, =3.53049

x=35.4

So,    z=(x-)/

               =(35.4-38.94583)/3.53049

               = -1

So,the z-score corresponding to the individual is -1 and indicates that the data value is 1 standard deviations from(or within) the mean

  

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