**Assignment No.1 (Course STA301)**

**Spring 2013 (Total Marks 15)**

# Deadline

**Your Assignment must be uploaded/ submitted before or on**

**23:59 May 2 ^{nd} , 2013**

**STUDENTS ARE ****STRICTLY DIRECTED**** TO SUBMIT THEIR ASSIGNMENT BEFORE OR BY DUE DATE. NO ASSIGNMNENT AFTER DUE DATE WILL BE ACCEPTED VIA E.MAIL)**.

### Rules for Marking

**It should be clear that your Assignment will not get any credit IF:**

**The Assignment submitted, via email,***after due date.***The submitted Assignment is not found as MS Word document file.****There will be unnecessary, extra or irrelevant material.****The Statistical notations/symbols are not well-written i.e., without using****MathType****software.****The Assignment will be copied from handouts, internet or from any other student’s file. Copied material (from handouts, any book or by any website) will be awarded****ZERO MARKS****.****It is****PLAGIARISM****and an****Academic Crime****.****The medium of the course is****English****. Assignment in****Urdu or Roman****languages will not be accepted.****Assignment means Comprehensive yet precise accurate details about the given topic quoting different sources (books/articles/websites etc.). Do not rely only on handouts. You can take data/information from different authentic sources (like books, magazines, website etc) BUT express/organize all the collected material in****YOUR OWN WORDS****.****Only then you will get good marks.**

### Objective(s) of this Assignment:

**The assignment is being uploaded to build up the students concepts regarding:**

** **

**1.****Measurement scale****2.****Stem and leaf****3.****Manipulation of data****4.****Measures of Central tendency**

**Assignment No: 1 (Lessons 1-9)**

** ****Question 1: Marks: 4+3=7**

- 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.

- 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**

- 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 **A**rithmetic mean, **G**eometric mean and **H**armonic 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.

# Idea Solution

- Given the following frequency distribution:

Class Limits | Frequency | Class Boundaries | Relative Frequency | Mid-Point |

118 – 126 | 3 | 117.5 – 126.5 | 0.088 | 122 |

127 – 135 | 5 | 126.5 – 135.5 | 0.147 | 131 |

136 – 144 | 9 | 135.5 – 144.5 | 0.264 | 140 |

145 – 153 | 12 | 144.5 – 153.5 | 0.353 | 149 |

154 – 162 | 5 | 153.5 – 162.5 | 0.147 | 158 |

Total = 34 |

** Comulative Frequency is:-**

**3, 8, 17, 29 and 34 respectively………**

- 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.

Stem |
Leaf |

1 | 1, 2, 3 |

2 | 3, 4, 5, 6 |

3 | 7, 8, 9 |

5 | 2, 3, 4, 5 |

6 | 6, 7, 8, 9 |

7 | 2, 3, 4, 5 |

**Question 2: Marks: 6+2=8**

- 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 **A**rithmetic mean, **G**eometric mean and **H**armonic mean for the above data.

Arithmetic mean

**Answer:- 68.5**

**G**eometric mean

**Answer:- 67.7**

** H**armonic mean

**Answer:- 67.7**

** **

b. Which scale of measurement is more suitable in the following examples?

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