Question

2
check my work
wachesaw manufacturing incorporated produced the following number of units in the last 16 days:
27 27 27 28 27 25 25 28
26 28 26 28 31 30 26 26
the information is to be organized into a frequency distribution.
click here for the excel data file
required:
a. how many classes would you recommend?
number of classes 4
b. what class interval would you suggest?
note: round your answer to 1 decimal place.
class interval 1.5
c. what lower limit would you recommend for the first class?
lower limit for first class

Explanation:

Step1: Recall class count rule

Use $2^k \geq n$, where $n=16$ (data points).
$2^4=16 \geq 16$, so $k=4$.

Step2: Calculate class interval

Find range: $\text{Max}-\text{Min}=31-25=6$.
Interval: $\frac{\text{Range}}{\text{Number of classes}}=\frac{6}{4}=1.5$.

Step3: Choose first class lower limit

Select a value less than/equal to the smallest data point (25), typically the minimum value itself for simplicity.

Answer:

a. 4
b. 1.5
c. 25