STA301 Statistics and Probability vu current Assignment 1 Solution Spring 27th April 2013

Assignment No: 1 (Lessons 1-9)

   Question 1:                                                                                                              Marks: 4+3=7

1. Given the following frequency distribution:

Class Limits	Frequency
118 – 126	3
127 – 135	5
136 – 144	9
145 – 153	12
154 – 162	5

Construct the columns of Class Boundaries, Relative Frequency, Mid points and
Cumulative frequency.

2. The ages of 22 patients admitted to a certain hospital during a particular week were as

follows:
66, 73, 68, 54, 25, 38, 67, 69, 74, 53, 52, 72, 55, 75, 37, 24, 13, 12, 11, 26, 39, 23
Construct a Stem and Leaf display for the above data.

Question 2:                                                                                                              Marks: 6+2=8

1. Ten students (graduates and undergraduates) are enrolled in the course on statistics. Their weights are given below:

52, 63, 73, 58, 88, 72, 60, 76, 69, 74

Calculate Arithmetic mean, Geometric mean and Harmonic mean for the above data.
b.    Which scale of measurement is more suitable in the following examples?

• Religion can be categorized as Jewish, Muslim, Christian, Buddhist and “Other”.
• A teacher ranks the students according to their oral language skills.
• The number of minutes of overtime work that employees perform.
• The number of questions asked by a customer during a simulated encounter with a salesperson.