Explained: "In calculating the mode for the grouped data,..."

High School
Statistics and Probability
High school statistics
Data distributions

ushwaui

Answered question

2021-11-25

In calculating the mode for the grouped data,

f_{0}

represents

Answer & Explanation

Alrew1959

Beginner2021-11-26Added 16 answers

Step 1
In grouped data, the observations are clustered together into classes. The grouped data basically consist this classes and the corresponding frequencies.
Grouped data is a more organized version of a row data. Mode denotes the most frequently occurring observation.
Step 2
The formula for mode of grouped data is given below.

M o d e = l + (\frac{f_{1} - f_{0}}{2 \cdot f_{1} - f_{0} - f_{2}}) \cdot h

Model class of a grouped data is the class with highest frequency.

f_{0}

represents the the frequency of the class preceding the modal class.
l-Lower limit of modal class.
h-Size of the class interval.

f_{1}

-Frequency of model class.

f_{2}

-Frequency of the class succeeding the modal class.

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