Applied Mathematics for Electrical Engineering (3130908)

Question-5a

BE | Semester-3 Winter-2019 | 26-11-2019

Q5) (a)

Define mean, median and mode for the ungrouped data.

Mean for ungrouped data:

If data is

x_{1}, x_{2}, x_{3}, \dots, x_{n}

. Then Mean

\bar{x}

is defined as below.

\bar{x} = \frac{x_{1} + x_{2} + x_{3} + \dots + x_{n}}{n} = \frac{1}{n} \cdot \sum_{i = 1}^{n} x_{i}

Median for ungrouped data:

Let the total number of observations be n.

If n is odd number,than

M = {(\frac{n + 1}{2})}^{th} observation

.

If n is even number,than

M = \frac{{(\frac{n}{2})}^{th} observation + {(\frac{n}{2} + 1)}^{th} observation}{2}

.

Mode for ungrouped data:

Most repeated observation among given data is called Mode of ungrouped data.

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