Calculate the first, second and third quartile for the following data:
| Class: | Below 30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80 and above |
| Frequency: | 69 | 167 | 207 | 65 | 58 | 27 | 10 |
Also find the quartile deviation and coefficient of quartile deviation.
The first step in finding the quartiles is to find the cumulative frequency of the data set. The cumulative frequency can be found by adding up the frequencies of each class until we reach the desired quartile. The cumulative frequency of the first quartile (Q1) is the 25th percentile, the cumulative frequency of the second quartile (Q2) is the 50th percentile, and the cumulative frequency of the third quartile (Q3) is the 75th percentile.
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