Homework: HW 3.4 Score: 0 of 1 pt 1013(3 complete) Instructor-created question T

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Homework: HW 3.4 Score: 0 of 1 pt 1013(3 complete) Instructor-created question The accompanying a) Determine the quartiles b) Compute and interpret the interquartile range, IQR. c) Determine the lower and upper fences. Are there any outiers? data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine. Click the icon to view the data. (a) Determine the quartles Type an integer or a decimal. Do not round.) (Type an integer or a decimal. Do not round.) Qmpg (Type an integer or a decimal. Do not round.) (b) Compute and interpret the interquartile range, IQR. Select the correct choice below and fill in the answer box to complete you Type an integer or a decimal. Do not round.) O A. The interquartile range is mpg. It is the range of the observations between either the lower or upper quartile and the m the observations. O B. The interquartile range is mpg.lit is the range of all of the observations in the data set ° C. The interquartile range is mpg. It is the range of the observations between the lower and upper fences. 0 D. The interquartile range is mpg. It is the range of the middle 50% of the observations in the data set. (c) Determine the lower and upper fences. Are there any outliers? The lower fence is (Type an integer or a decimal. Do not round.) (Type an integer or a decimal. Do not round.) Are there any outliers? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The outlerfs) is/are O B. There are no outliers. The upper fence is (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed)

Explanation / Answer

a)Q 1 =(n+1)/4 th value =(24+1)/4 th value =6.25 th value =36.4+0.25*(37.5-36.4)=36.675

( please try 37.5 if this comes incorrect)

Q2=(n+1)/2 th value =(24+1)/4 th value =12.5 th value =(38.5+38.7)/2 =38.6

Q3=3*(n+1)/4 th value =18.75 th value =40.7+0.75*(41.4-40.7)=41.225

( please try 41.4 if this comes incorrect)

b)

option D: interquartile range =41.225-36.675=4.55

( please try 3.9 if this comes out wrong)

c(

upper fence =Q3+1.5*IQR =48.05 ( please try 47.25 if this comes wrong )

lower fence =Q1-1.5IQR =29.85 ( please try 31.65 if this comes wrong )

the outtlier is 48.9

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