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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
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 48.9 miles per gallon. Interpret this result. (b) Determine the quartiles. MPG Data (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. 32.7 35.7 38.0 38.7 39.9 42.5 34.2 36.4 38.1 39.0 40.7 42.7 34.8 37.3 38.3 39.1 41.3 43.3 35.2 37.5 38.5 39 3 41.6 48.9 (a) Compute the z-score corresponding to the individual who obtained 48.9 miles per gallon. Interpret this result. The z-score corresponding to the individual is | and indicates that the data value is standard deviation(s) the (Type integers or decimals rounded to two decimal places as needed.) Above median or OI (b) Determine the quartiles. below? mean? Q, =mpg (Type an integer or a decimal. Do not round.) Q2=mpg (Type an integer or a decimal. Do not round.) Q, =mpg (Type an integer or a decimal, Do not round.) (c) Compute and interpret the interquartile range, IQR. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. The interquartile range is mpg. It is the range of the observations between the lower and upper fences. B. The interquartile range is mpg. It is the range of the middle 50% of the observations in the data set. O C. The interquartile range is mpg. It is the range of all of the observations in the data set. D. The interquartile range is mpg. It is the range of the observations between either the lower or upper quartile and the middle quartile; it captures 25% of the observations. (d) Determine the lower and upper fences. Are there any outliers? The lower fence is Type an integer or a decimal. Do not round.) The upper fence is]. (Type an integer or a decimal. Do not round.)
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