# Tag: Statistics

## Frequency Tables

Frequency Tables Frequency tables are tables which list the frequency of an event, that is, the number of times an event occurs.  There are two types of Frequency tables, Ungrouped and Grouped. Ungrouped These are frequency tables which list the frequency (number of times) of observations or data that are ungrouped. Example: Below are the…

## Class Limits, Boundaries and Intervals

Class Limits, Boundaries and Intervals Class Limits Class limits are the smallest and largest observations (data, events etc) in each class. Therefore, each class has two limits: a lower and upper. Example: Class Frequency 200 – 299 12 300 – 399 19 400 – 499 6 500 – 599 2 600 – 699 11 700…

## Mean

Mean The mean of a given set of numbers is the average of those numbers, and is calculated by summing all the numbers and dividing by the amount of numbers. That is, the mean  = Example: Find the mean of the following numbers: 6, 12, 15, 20, 14, 8, 10, 18, 24, 12 To find…

## Cumulative Frequency

Cumulative Frequency The cumulative frequency is obtained by adding each frequency in the table, to the cumulative frequency in the row above it. Example: Insert a cumulative frequency column into the table below. Recall, cumulative frequency is obtained by adding the frequency in each row, to the cumulative frequency in the row above it. It…

## Median

Median The median of a given set of numbers is the central number (the number in the middle). To find the median, the set of numbers should either be arranged in ascending (smallest to largest) or descending (largest to smallest) order. If there is an even amount of numbers in a set, then the median…

## Mode

Mode The mode of a given set of numbers is the number which has the highest frequency, that is, it is listed the most times. Example: Identify the mode in the following distributions (a) 20, 24, 27, 24, 26, 28, 27, 24 (b) 102, 108, 107, 109, 108, 102, 110 (c) Goals Scored Frequency 1…

## Range, Interquartile and Semi-interquartile Ranges (Raw Data)

Range, Interquartile and Semi-interquartile Ranges (Raw Data) Range The range of a set of numbers is the difference between the largest and the smallest number. Example: Calculate the range of the following numbers: 204, 210, 215, 220, 225, 234, 238, 240 The range = the largest number – the smallest number =  240 – 204…

## Probability

Probability Probability is defined as the likelihood of an event occurring. Given that all the possible outcomes are equally likely, the probability of an event is equal to the number of favourable outcomes divided by the total number of possible outcomes, that is: The probability of an event will be a number between 0 and…