Sta301 Misbha
Sta301 Misbha
Sta301 Misbha
Deadline
Your Assignment must be uploaded/ submitted before or on May 13, 2024,Time
23:59
(STUDENTS ARE STRICTLY DIRECTED TO SUBMIT THEIR ASSIGNMENT
BEFORE OR BY DUE DATE. NO ASSIGNMNENT AFTER DUE DATE WILL BE
ACCEPTED VIA E.MAIL).
Question 1: Marks: 10
A quality control manager at a poultry farm is monitoring the weight of eggs produced. The
weights of 20 randomly selected eggs (in grams) are as follows:
65, 68, 60, 76, 65, 74, 58, 56, 61, 57, 63, 64, 72, 66, 65, 67, 65, 63, 67, 67.
Find the coefficient of variation.
Solution:
Formula of coefficient variation
TO find the coefficient of variation, first we calculate the MEAN and STANDARD DAVIATION
THE formula from the standard deviation can be expressed mathematically as:
56-61.35 28.6225
57-61.35 18.9225
58-61.35 11.2225
60--61.35 1.8225
61-61.35 0.1225
63-61.35 2.7225
63-61.35 2.7225
64-61.35 7.0225
65-61.35 13.3225
65-61.35 13.3225
65-61.35 13.3225
65-61.35 13.3225
66-61.35 21.6225
67-61.35 31.9225
67-61.35 31.9225
67-61.35 31.9225
68-61.35 44.2225
74-61.35 160.0225
76-61.35 214.6225
Question 2: Marks: 10
At a large manufacturing company, the following is a record of the working hours that were
logged for 32 different personnel. The five-number summary should be used to check the
symmetry of the data.
13, 23, 25, 30, 33, 36, 26, 24, 23, 28, 22, 25, 26, 29, 19, 23, 25, 30, 40, 39, 36, 38, 35, 32, 31,
30, 37, 33, 27, 26, 28, 24.
SOLUTION :
Arrange the data in ascending order.
13,19,22,23,23,23,24,24,,25,25,25,26,26,26,27,28,28,29,30,30,30,31,32,33,33,35,36,36,37,3
8,39,40
Now, lets’s find the quartiles and median :
Q1( first quartile) : the median of the lower half of thw data.Q1=24
Q2( median) : the middle value of the data .Q2=-28
Q3( THIRD QUARTILE): The median of the upper half of the data. Q3=33
Minimum value = = 40
Five number summary
Q1 Q2 Q3
13 40
24 26 33
IF THE data were perfectly symmetrical, the following would be true.
The distance from Q1 to the median would be equal to the distance from the median to Q3
In this data Q1 to Q2 =4 and Q2 to Q 3 =5