Category: Mathematics

Frequency Polygon – Statistics
Frequency polygon is also a graphical representation of data, where the frequency is plotted against midpoint of the class interval. The frequencies corresponding to the mid points of class intervals are joined by line segments to get the frequency polygon. A frequency polygon is drawn by drawing a histogram for the given data and joining […]

Commutative Frequency Curve – Statistics
Commutative frequency curve is a graph drawn with commutative frequency against the upper limit of class interval. The points are joined by a smooth curve and the curve is joined to the lower limit of the first class interval. Example: Draw given (cumulative frequency curve) for the data given below: Class interval frequency 1000 – […]

Histogram – Statistics
Histogram is the most properly and widely used methods of graphical representations. Histogram is a two dimensional graphical representation of a continuous frequency distribution. In a histogram the area of rectangular are proportional to the frequencies. Class intervals are marked on the x – axis and frequencies on the Y – axis. Class intervals must […]

Quartile Deviation – Statistics
The points that divide the distribution in to four equal parts are called quartiles. If we take the difference between the third quartile and the first quartile, it gives us a value called inter quartile range. It is equal to Q3 – Q1. Half of this is the SemiInter Quartile Range or quartile deviation which […]

Mode – Statistics
Definition: Mode is the score that occurs frequently in a given set of scores. Most repeated score in a ungrouped data is the mode. Mode of the value around which the other scores cluster around densely. In a grouped data, the scores corresponding to the maximum frequency is the mode. A collection of data can […]

Mean – Statistics
Definition: It is the average of the scores, which s equal to the one of the scores divided by the number of scores. For ungrouped data, the mean is calculated using the formula, Ẍ = ⅀x/N For grouped data, the mean is given by Ẍ = ⅀fx/N

Median – Statistics
Definition: Median is the middle most score in a given set of scores. In ungrouped data, median is the middle score( when the scores are odd) or the average of two middle scores (when the scores are even), after the scores being arranged in ascending or descending order. Median for grouped data is calculated using […]

Range
Definition: The difference between the highest and the lowest scores in a given distribution is called range. To understand the range: consider the following set of data: 24, 52, 35, 28, 49, 21 Find out the highest and the lowest scores. Have you observed the highest scores is 52 and the lowest is 21? Take […]