Hi. I just need to check my work please! Question: (From Chapter 2 Section 1, Pr

Question

Hi. I just need to check my work please!

Question: (From Chapter 2 Section 1, Problem 6 in the book: Understandable Statistics 11th Edition, Charles Henry Brase)

6. Basic Computation: Class Limits A data set with whole numbers has a low value of 10 and a high value of 120. Find the class width and class limits for a frequency table with 5 classes.

My answer:

6) (First (compute largest data value - smallest data value)/desired number of classes) // Second increase the computed value to the next highest whole number)

(120 - 10 )/5 = 22 => next highest whole number -> 23 = Class Width.

Lower Class Limits Upper Class Limits 10 32 33 55 56 78 79 101 102 124

Explanation / Answer

Given :

Value of largest observation = 120

value of smallest observation = 10

and required number of classes = 5

Class width = ( 120-10) /5 = 22

Hence the class width of each classes is 22.

There are two types of classification inclusive type of classification and exclusive type classifiaction.

a) Inclusive type of classification : Both the limit are considered.

i.e. if the class is 10-32 and values of observation are 10 and 32, both the values are considered in the same class.

Since minimum value is 10 and maximum value is 120

b) Exclusive type classification ( Continuous type classification) : One of the limit are excluded. Generally upper limit of class is excluded, it will be considered in next class.For last class upper limit is considered in the same class.

i.e. If the class is 10-32 and value of the observations are 10 and 32, 10 is considered in 10-32 classs and 32 will be considered in next class.

Class Lower Limit Upper limit 10-32 10 32 33-55 33 55 56-78 56 78 79-101 79 101 102-124 102 124

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