Use limit grouping with the first class of 0-9and a class width of 10.

Short Answer

Expert verified

a). The frequency distribution,

Limit grouping classesFrequency0-9310-19320-29530-39840-491Total20

b). Relative frequency distribution,Limit grouping classesFrequencyRelative Frequency0-93320=0.510-193320=0.520-295520=0.2530-398820=0.4040-491120=0.05Total20

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

Frequency distribution is calculated as,

Limit grouping classesFrequency0-9310-19320-29530-39840-491Total20

03

Part (b) Step 1: Given Information

Given data:

04

Part (b) Step 2: Explanation

The relative frequency distribution is computed as follows:

Relative Frequency=FrequencyNumberofobservations

Limit grouping classesFrequencyRelative Frequency0-93320=0.510-193320=0.520-295520=0.2530-398820=0.4040-491120=0.05Total20

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): Given Information

Given data:

08

Part (d) 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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