Question

The following data represent the length of life, in years, measured to the nearest tenth, of 20 similar fuel pumps.

2.0 3.1 0.3 3.3 1.3 0.4 0.2 6.0 5.5 6.5

0.2 2.3 1.5 4.0 5.9 1.8 4.7 0.7 4.5 0.3

6. Create a stem-and-leaf plot of the fuel pump data. Include a key.

7. Construct a box plot of the fuel pump data. Be sure to indicate the presence of any outliers.

8. Find the frequency and relative frequency distributions by filling out the following table. If an observation falls on the boundary of a bin, place it in the upper bin, using the bins 0.0–1.0, 1.0–2.0, etc.

9. Create a histogram for the fuel pump data using the frequency table.

10. Describe the shape of the histogram.

Answer 1

7) Here nothing any point outside the lower fence and upper fench, so no any outlier present in dataset.

8)

8)we prepare frequency table as below.

99)10) By observing histogram , this above distribution has a large number of occurrences in the lower value cells (left side) and few in the upper value cells (right side) i.e the given distribution is right skew or positively skew.

6)