Definitions [2]
Average: Average is a number that represents or shows the central tendency of a group of observations or data.
Frequency Distribution Table: When the number of observations in an experiment is large then we can convert it into the tabular form which is called a Frequency Distribution Table.
Ungrouped Frequency Distribution Table: When the frequency of each class interval is not arranged or organized in any manner.
Grouped Frequency Distribution Table: The frequencies of the corresponding class intervals are organised or arranged in a particular manner, either ascending or descending.
Inclusive or discontinuous Frequency Distribution: A frequency distribution in which the upper limit of one class differs from the lower limit of the succeeding class is called an Inclusive or discontinuous Frequency Distribution.
Exclusive or continuous Frequency Distribution: A frequency distribution in which the upper limit of one class coincides from the lower limit of the succeeding class is called an exclusive or continuous Frequency Distribution.
Formulae [2]
\[ \begin{array}{c} \text{The mean of statistical data} = \dfrac{\text{The sum of all scores}}{\text{Total no. of scores}} = \dfrac{\sum\limits_{i = 1}^{N} x_{i}}{N} \end{array} \]
(Here \[ x_{i} \] is the \[ i^{th} \] score)
Mean is denoted by \[ \overline{X} \] and it represents the average of the given data.
\[ \overline{X} = \frac{\sum\limits_{i = 1}^{N} x_{i}}{N} \]
Average = `"sum of the values of all the observations"/"total number of observations"`
Key Points
-
Statistics deals with collecting, organising, analysing, and interpreting data.
-
Central tendency gives a single representative value for a data set.
-
Mean is the arithmetic average.
-
Median is the middle value of ordered data.
-
Mode is the most frequently occurring value.
