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Answer :
Final answer:
The second class interval's limits are between 106.5 and 120.0, as it includes values 7 units below the highest value (120). Therefore, the correct option is a) 106.5 - 120.0.
Explanation:
To construct a frequency distribution with seven classes, we need to determine the class interval size. The range of the data is the difference between the highest and lowest values, which is \( 120 - 71 = 49 \). Dividing this range by the desired number of classes (seven) gives us approximately 7. The class interval size is typically rounded up to a convenient number, such as 5 or 10. Therefore, each class interval will have a width of around 7. Starting from the highest value (120) and moving downwards, we set the limits for each class interval. The first class interval would include the highest value, while the second class interval would include the next set of values down to 7 units below the highest value. Hence, the second class interval's upper limit would be \( 120 \) and the lower limit would be \( 120 - 7 = 113 \). Thus, the correct answer is (a) \( 106.5 - 120.0 \).
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