Question

The table shows the fuel economy, in miles per gallon, of the cars owned by a rental car company.

Answer 1

The given data is
x =[26 32 18 47 16 24 33 17 34 27 24 36 23 26 19 22 21 20 35 28 29 43 23 33]
The sample size is n = 24
min(x) = 16
max(x) = 47

The sorted data is
[16 17 18 19 20 21 22 23 23 24 24 26 27 28 29 32 33 33 34 35 36 43 47]

Part A.
Create a frequency table using a class width of 5.

  Class   Frequency
----------  ----------------
15 - 19            4
20 - 24          7
25 - 29          5
30 - 34          4
35 - 39          2
40 - 44          1
45 - 49          1

Part B
Create a frequency histogram with bin widths of 5.
The histogram plot is shown below.

Part C.
The distribution appears to a skewed normal distribution.
The mean is skewed toward the lower values of the sample values.
Consequently, the distribution has a short tail for small values of x but a longer tail for larger values of x.