Problem 2) Below is the list the highway gas mileages (in miles per gallon) of the randomly selected Honda car models. 22, 24, 26, 26, 28, 28, 29, 30, 30, 30, 31, 34, 34, 34, 34, 35, 36, 36, 41, 41 a) Construct a stem plot of the data set. Be sure to label the units. (4 pts.) b) What is the percentile of 34 miles per gallon

Step-by-step explanation:

a) Stem plot

A stem and leaf plot is a table that presents data values in a format similar to a histogram. Each data value is split into a "stem" (the first digit ) and a "leaf" (the last digit)

A stem and leaf plot for your data looks like this:

b) Percentile

The percentile rank (PR) of a data value is the percentage of values that are equal to or less than that value.

The best formula for the percentile rank of a data value or score is

where

L = number of values less than the score

S = number of values equal to the score

N = number of all values

For your data,  

L = number of values less than 34 = 11

S = number of values equal to 34 = 4

N = number of values = 20

the graph on the bottom right