Quiz 3

1. The accompanying data represent the miles per gallon of a random sample of cars with a​ three-cylinder, 1.0 liter engine

1. Compute the​ z-score corresponding to the individual who obtained 43.2 miles per gallon. Interpret this result.

2. Determine the quartiles

3. Compute and interpret the interquartile​ range, IQR.

4. Determine the lower and upper fences. Are there any​ outliers?

​(a) Compute the​ z-score corresponding to the individual who obtained 43.2  miles per gallon. Interpret this result.

The​ z-score corresponding to the individual is ______ and indicates that the data value is ___________ standard deviation _____ the ________________.

​

(b) Determine the quartiles.

Q1 =

Q2 =

Q3 =

​(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.)

1. The interquartile range is  _____mpg mpg. It is the range of all of the observations in the data set.
2. The interquartile range is ____________ It is the range of the observations between either the lower or upper quartile and the middle​ quartile; it captures​ 25% of the observations.
3. The interquartile range is ________ mpg. It is the range of the middle​ 50% of the observations in the data set.
4. The interquartile range is ______________ mpg. It is the range of the observations between the lower and upper fences.

(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.)

Are there any​ outliers? Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

1. The​ outlier(s) is/are ____________​(Type an integer or a decimal. Do not round. Use a comma to separate answers as​ needed.)
2. There are no outliers.

The​ outlier(s) is/are ____________​(Type an integer or a decimal. Do not round. Use a comma to separate answers as​ needed.)