Answer to Question #157924 in Statistics and Probability for unknown

Question

The number of items rejected daily by a manufacturer because of defects for the last 30 days are:

20, 21, 8, 17, 22, 19, 18, 19, 14, 17, 11, 6, 21, 25, 4, 19, 9, 12, 16, 16, 10, 28, 24, 6, 21, 20, 25, 5, 17, 8

a) Construct a stem-and-leaf display. What can conclude based on the display? (7 marks)

b) Calculate the mean, median, and mode of the data. (6 marks)

c) Based on the answers in (b), make a conclusion about the skewness of the data. (3 marks)

Answer 1

a) Steam | Leaf

0 | 4 5 6 6 8 8 9

1 | 0 1 2 4 6 6 7 7 7 8 9 9 9

2 | 0 0 1 1 1 2 4 5 5 8

The distribution is unimodal and bell-shaped.

b) Mean$=\frac{478}{30}=15.93.$

Median$=\frac{17+17}{2}=17.$

Mode - N/A.

c) Since Median > Mean, the distribution is left-skewed.