Consider the following data, which represent the height (in inches) of 26 studen

Question

Consider the following data, which represent the height (in inches) of 26 students. We are going to create a grouped frequency distribution using the guidelines described in your textbook and in your class handout. Before we do that, we are first going to answer the four questions below...

41     57    60    61    62    62    63    63    64   

64     64    65    68    68    69    69    69    70

70     72    72    78    79    80    82    85

(1) Data Range (Data Range = Largest Value - Smallest Value +1) =

Interval Width =

(3) Where should the first interval begin? Remember we want the lower boundary of each interval to be a multiple of the interval width (see guideline #6)

The first interval begins with the number _____.

(4) Where should the first interval end? (Lower boundary + Interval Width - 1).

The first interval ends with the number ____.

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Explanation / Answer

a) Data range =85-41+1 = 45

b) As range is 45 and 10 intervals required we can have intervals with width 45/10 =4.5 or 5

Interval width -- 10 intervals of width 5

c) Lower interval starts with 40

d) Lower intrval ends in 40+5-1 =44

Frequency distribution

Interval Frequency 40-44 1 45-49 0 50-54 0 55-59 1 60-64 9 65-69 6 70-74 4 75-79 2 80=84 2 85-89 1 Total 26

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