Use cutpoint grouping with a first class of 10-under 15.

Short Answer

Expert verified

a). The frequency distribution,

Cut-point grouping classesFrequency10-under 15415-under20520-under25725-under30330-under35035-under401Total20

b). The relative frequency,

Cut-point grouping classesFrequencyRelative Frequency10-under154420=0.2015-under205520=0.2520-under257720=0.3525-under303320=0.1530-under350020=035-under401120=0.05Total201

c). Frequency histogram,

d). Relative frequency histogram,

Step by step solution

01

Part (a) Step 1: Given Information

Given data:

02

Part (a) Step 2: Explanation

The frequency distribution is computed as,

Cut-point grouping classesFrequency10-under 15415-under20520-under25725-under30330-under35035-under401Total20

03

Part (b) Step 1: Given Information

Given data:

04

Part (b) Step 2: Explanation

The relative frequency is calculated as follows:

Relative Frequency=FrequencyNumberofobservations

Cut-point grouping classesFrequencyRelative Frequency10-under154420=0.2015-under205520=0.2520-under257720=0.3525-under303320=0.1530-under350020=035-under401120=0.05Total201

05

Part (c) Step 1: Given Information

Given data:

06

Part (c) Step 2: Explanation

MINITAB is used to generate the frequency histogram.

The following is the technique for obtaining a frequency histogram:

  • Navigate to Graph>Histogram.
  • Click OK after selecting Simple.
  • Click OK after entering the matching column of DATA in Graph variables.

The output of MINITAB is displayed below.

07

Part (d) Step 1: Given Information

Given data:

08

Part (d)b Step 2: Explanation

MINITAB is used to generate the relative frequency histogram.

The following is the technique for obtaining a frequency histogram:

  • Navigate to Graph>Histogram.
  • Click OK after selecting Simple.
  • In the Graph variables section, enter the corresponding DATA column.
  • Go to Vertical Axis and select TYPE TAB.
  • Choose Percentage
  • Click OK

The output of MINITAB is displayed below.

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