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Answer :
Final answer:
The five-number summary for the given data includes the minimum value, first quartile, median, third quartile, and maximum value. So, the correct option for this particular data set is (a) 35, 43, 61, 65, 97.
Explanation:
The question pertains to finding the five-number summary for a given set of data. In statistics, the five-number summary is an important set of descriptive statistics that provide insights into the distribution of the data. It includes the following five metrics: minimum value, first quartile (Q1), median or second quartile (Q2), third quartile (Q3), and the maximum value.
Each of these values helps to summarize and describe key aspects of the data set. The minimum and maximum values give us the range of the data, while the quartiles help us understand the spread and the concentration of the data points.
The correct five-number summary for the given data is: Minimum: 35, First Quartile: 43, Median: 61, Third Quartile: 65, Maximum: 97. Comparing these values with the options provided, the correct option is (a) 35, 43, 61, 65, 97, which will be mentioned again in the final part of this explanation.
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