Mathematics Assignment - Sample Mean, Standard Deviation, Confidence Interval

Running Head: Math Assignment
Mathematics assignment
Student’s name
Institution Affiliation

Running Head: Math Assignment
Question
Data:
a. Using a calculator to compute the sample mean and sample standard deviation for the
lengths and widths. Compute the coefficient of variation for each.
According to Francis (2004) the meanx of a given set of data is given by
x=∑ xi
n , where n=sample ¿ xi are values of the data set
Therefore, mean for lengths and widths, will be:
Mean Length
x=∑ xl
n =15344
35
¿ 438.4 mm
Mean Width
x=∑ xw
n =13427
35

Running Head: Math Assignment
¿ 383.6 mm ( 1 d . p )
The standard deviation, s of set of data is given by
s= √ ∑ x2
n − ( x )2 , ( Francis ,2004 , p .138 )
where x2=square of values of the data set
Standard deviation for length
sL= √ 7042634
35 − ( 438.4 )2
¿ √201218.1−192194.6
¿ √9023.554
¿ 94.99
Standard deviation for Width
sW = √ 5422653
35 − ( 383.6 )2
¿ √154932.9−147170.9