1. **Stating the problem:** We have a data set with values and are told there are 7 clusters (classes) with a class interval of 10. 2. **Finding the limits of the lowest cluster:** - The lowest value in the data is 27. - With a class interval of 10, the lowest cluster will start at the lowest multiple of 10 less than or equal to 27, which is 20. - Therefore, the lowest cluster limits are from 20 to 29. 3. **Frequency of the lowest cluster:** - Count the data points between 20 and 29 inclusive. - Values in this range: 27 - Frequency = 1 4. **Frequency of the fifth cluster:** - The clusters are: 1st: 20-29 2nd: 30-39 3rd: 40-49 4th: 50-59 5th: 60-69 - Count data points between 60 and 69 inclusive. - Values in this range: 60, 61, 61, 62, 63, 64, 64, 65, 65, 66, 66, 67, 67, 67, 68, 68, 68, 68 - Frequency = 18 **Final answers:** - Lowest cluster limits: 20-29 - Frequency of lowest cluster: 1 - Frequency of fifth cluster: 18