Question

If I need to compare categorical (gender) and quantitative (age), what is the best descriptive statistic...

If I need to compare categorical (gender) and quantitative (age), what is the best descriptive statistic to use to help? Mode, median, IQR? What graph to show the variation? Also, what limitations may I face with my data results? Bias?

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Answer #1

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The best descriptive statistics are used to calculate the categorical(gender) data is mode because the gender is either male or female, so the best descriptive is the mode since the mode is the most frequent value of the data. The best descriptive statistics are the mean or median for quantitative data. However, the mean and median is the average value of numerical data.

The IQR is the difference between the third quartile and first quartile. The variation can be shown by the box-plot which include the minimum, first, second and third quartile and maximum value.

The limitation for the data is that the calculation for the median can differ from the calculation of the mean. The bias is the error value which is the difference between the actual value and predicted value.

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