Question
Explain different types of frequency curves with an example.
✓
Answer
- Normal Curve: In this curve, highest frequency is at the centre and both tails on the left and right hand side are in identical fashion. It is a unimodal curve in which mean, median and mode are equal. It is also known as bell shaped or symmetrical curve. It is shown below:
Normal Curve Showing the Percent of Cases Lying Within 1, 2, and 3 Standard Deviations from the Mean.
- Positively Skewed Curve: It is asymmetrical curve which has a tail on the left hand side of the graph and frequencies are more for the higher values of the data. The left tail is longer, the mass of the distribution is concentrated on the right of the figure. It has relatively few low values. The distribution is said to be left-skewed. It is shown below:
- Negatively Skewed Curve: It is asymmetrical curve which has a tail on the right hand side of the graph and frequencies are more for the lower values of the data. These histograms have the curve on the left side of the distribution. If the right tail is longer, the mass of the distribution is concentrated on the left. It has relatively few low values. It is shown below:
- Symmetrical Distribution Curve: It is like normal curve but normal curve is unimodal. We can say it to be twins of normal curves. In this curve, highest frequencies are at two places one at a lower value and other at a higher extreme value and hence, it is also called bimodal curve of symmetrical distribution. It is shown below:
- J Shaped Curve: When class frequencies running maximum towards higher values and not at the centre, it gives a J shaped frequency curve. It is called so because it appears like English Letter J. It is shown below:
- U Shaped Curve: In this case, maximum frequency is at the ends of the data and minimum are the centre. It is shown below:
- Reverse J Shaped Curve: When class frequencies are running up to a maximum at one end and not at the centre and it is lower end not higher one, it gives inverse J shaped curve. It is shown below:
- Mixed Curve: Sometimes, it is difficult to find a trend in the frequencies. The frequencies rise and fall at different intervals. It is called Mixed Curve. There cannot be one particular shape of mixed curve. It is also called non monotonic curve because it does not show any particular pattern. One example is shown below:
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