Question

part 1 of 5
what is the class width for a frequency distribution with 7 classes?
the class width is 7.
part: 1 / 5
part 2 of 5
find the class limits. the first lower class limit is 60.
class limits
60 -
send data to excel
70 88 103 64 88 100 78 80 77 69
85 65 71 90 88 75 80 72 60 70
60 75 79 90 88 75 80 72 60 70

Explanation:

Step1: Find the maximum and minimum values

From the data:
Minimum value \(x_{\text{min}} = 60\)
Maximum value \(x_{\text{max}} = 103\)

Step2: Calculate the range

Range \(R=x_{\text{max}}-x_{\text{min}}=103 - 60=43\)

Step3: Calculate the class width

Number of classes \(k = 7\)
Class width \(w=\lceil\frac{R}{k}
ceil=\lceil\frac{43}{7}
ceil\)
Since \(\frac{43}{7}\approx6.14\), we round up to \(w = 7\)

Answer:

7