Definition of Frequency Distribution – Mutually exclusive – Raw data – Example:

Question

Definition of Frequency Distribution –

Mutually exclusive –

Raw data –

Example: Suppose a researcher wanted to do a study on the number of miles employees in a large warehouse walked during their shifts each day. The table to the right shows the raw data in it's original form.

n =

max =

min =

Range =

Step 1: Decide on the # of classes

k =

n =

Step 2: Determine the class interval (                                   )

Step 3:

Step 4:

Step 5:

Construct Frequency Distribution here:

# of miles (class limits)           Tally                             # of employees (frequency)

Definition of Relative Frequency Distribution

Construct the Relative Frequency Distribution here:

# of miles (class limits)           # of employees (frequency)    Relative Frequency

Definition of Histogram –

Quantitative –

Construct Histogram here:

Definition of Frequency Polygon –

Midpoints –

Construct Frequency Polygon here:

When is a Cumulative Frequency Distribution used?

Construct Cumulative Frequency Distribution and Polygon here:

# of miles (class limits)           # of employees (frequency)    Cumulative Frequency

Explanation / Answer

Definition of frequency distribution: Frequency refer to number of occurences of each sample point of an event, and frequency distribution refer to tabular/graphical representation of sample points and their corresponding frequencies.

Definition of mutually exclusive: Two events are said to be mutually exclusive if they share no outcome in common, If A and B are disjoint, then knowing that A occurs tells that B cannot occur. If A and B are two disjoint events, P(A U B)=P(A)+P(B).

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Number of classes can be determined using formula k=1+3.322Log N, where, N is the number of observations.

Class interval: Range/number of classes, where, range=Maximum-minimum

Definition of relative frequency: ratio of occurrence of sample points to total outcomes.

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