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 lter engine. (a) Compute the z-score corresponding to the individual who obtained 40.2 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 c corresponding to the individual who obtained 40.2 miles per gallon Interpret this result. The z-score corresponding to the indvidual isandindicates that the data value isstandard devations)te Type integers or decimals rounded to two decimal places as needed.) MPG Data abowe below 324 35.9 37.8 38.4 402 424 o 34.1 36.4 37.939.0 406 42.6 343 37.4 38.1 39.4 41.4 43.4 358 376 382 396 416 49 Print Done

Explanation / Answer

Solution:- Given that 32.4,35.9,37.8,38.4,40.2,42.4,34.1,36.4,37.9,39.0,40.6,42.6,42.6,34.3,37.4,38.1,39.4,41.4,43.4,35.8,37.6,38.2,39.6,41.6,49.0

? = 39.044 , ? = 3.5301

(a) Z = (x - ?)/? = (40.2 - 39.04)/3.53 = 0.33

(b) First quartile (Q1) = 36.9

Second quartile (Q2) = 38.4

Third quartile (Q3) = 41.5

(c) interquartile range(IQR) = 41.5 - 36.9 = 4.6

(d)
Lower fence: 30
Upper fence: 48.4
Set of outliers: {49.0}

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