Time Allocated: 1 week
Subject: Introduction to Statistics
Allocated Marks: 5
Topic: Statistics (Frequency Distribution)
ASSIGNMENT 02– Spring 2021 SEMESTER
Instructions:
Please read the following instructions carefully before attempting any question:
• Attempt all questions. Solve all questions on the Answer Script.
• Draw neat sketches where necessary. Do not use pencil, except for diagrams/sketches.
• Label the answers with proper question numbers.
• All rough work must be done in the Answer Script.
• Any attempt to use unfair means will disqualify from the examination.
• All students must comply with any other instruction given in the Examination Hall.
Q) Consider the following data:
62 61 83 92 67 89 83 50 80 69 95 50 73 71 73 88 66 89 73 51
58 86 73 57 67 80 59 86 62 95 63 88 59 64 54 78 84 77 71 82
82 83 81 97 60 85 61 55 80 72
Make frequency distribution using 5 classes and find the following:
• Arithmetic Mean: 73.7
• Median: 75.0556
• Mode: 83.3095
• All quartiles: Q1: 62.68118, Q2: 75.0556, Q3: 84.5
• 3rd Deciles: 64.9545
• 46th Percentile: 72.8333
, • Coefficient of Skewness: -0.3189146801
• Semi Inter Quartile Range (SIQR): 10.9091
• Standard Deviation: 12.752
• Mean Deviation: 10.96
• Variance: 162.6122
• Sketch Histogram
• Sketch OGIVE
Answer:
Subject: Introduction to Statistics
Allocated Marks: 5
Topic: Statistics (Frequency Distribution)
ASSIGNMENT 02– Spring 2021 SEMESTER
Instructions:
Please read the following instructions carefully before attempting any question:
• Attempt all questions. Solve all questions on the Answer Script.
• Draw neat sketches where necessary. Do not use pencil, except for diagrams/sketches.
• Label the answers with proper question numbers.
• All rough work must be done in the Answer Script.
• Any attempt to use unfair means will disqualify from the examination.
• All students must comply with any other instruction given in the Examination Hall.
Q) Consider the following data:
62 61 83 92 67 89 83 50 80 69 95 50 73 71 73 88 66 89 73 51
58 86 73 57 67 80 59 86 62 95 63 88 59 64 54 78 84 77 71 82
82 83 81 97 60 85 61 55 80 72
Make frequency distribution using 5 classes and find the following:
• Arithmetic Mean: 73.7
• Median: 75.0556
• Mode: 83.3095
• All quartiles: Q1: 62.68118, Q2: 75.0556, Q3: 84.5
• 3rd Deciles: 64.9545
• 46th Percentile: 72.8333
, • Coefficient of Skewness: -0.3189146801
• Semi Inter Quartile Range (SIQR): 10.9091
• Standard Deviation: 12.752
• Mean Deviation: 10.96
• Variance: 162.6122
• Sketch Histogram
• Sketch OGIVE
Answer:
