Improve Competence with MyMathsHero
The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance. … If the data points are further from the mean, there is a higher deviation within the data set; thus, the more spread out the data, the higher the standard deviation.
In this topic, we cover the following: The mean, median and mode, comparison of mean, median and mode, rates and mixtures, presentation of grouped data, cumulative frequency, standard deviation of discrete data, mean deviation, standard deviation of grouped data. At the end of this topic, students should understand the following among other things:
- Calculate and interpret the mean, median, mode of ungrouped data and the mean deviation of a set of discrete data,
- Apply the calculation of means to average rates and mixtures,
- Recall previous knowledge to present and interpret grouped data in frequency tables, class intervals, histograms and frequency polygons,
- Apply previous knowledge to what is learn here to calculate, illustrate and interpret the mean, median, mode of grouped data and standard deviation of a set of discrete data,
- Construct and draw cumulative frequency tables curves and use them to deduce quantities and medians,
- Interpret the variation or spread of a data set in terms of its standard deviation,
- Select and use a working mean to simply calculation and calculate the variance of a given data set,
- Calculate the standard deviation of a set of grouped data.
