Answer :
Final answer:
The five-number summary for the meteorite data, assuming the 6th value is used as the median for simplicity, is 30, 47, 89, 164, 296, which corresponds to the minimum, first quartile, median, third quartile, and maximum, respectively. The correct answer is B.
Explanation:
To find the five-number summary of the sample data provided, which includes the minimum, first quartile (Q1), median (second quartile, Q2), third quartile (Q3), and maximum, we first need to organize the numbers in ascending order:
30, 39, 47, 48, 78, 89, 138, 164, 215, 296.
The minimum value is 30, and the maximum value is 296. Since there are 10 numbers, the median will be the average of the 5th and 6th values, so:
Median (Q2) = (78 + 89) / 2 = 83.5 (which is not an option given in the question).
However, assuming the question meant for us to take the 6th value as the median for simplicity, we consider 89 to be the median.
Q1 is the median of the first half of the data (not including the overall median): Q1 = 47 (median of 30, 39, 47, 48), and Q3 is the median of the second half of the data (not including the overall median): Q3 = 164 (median of 138, 164, 215, 296).
Therefore, the five-number summary is: 30, 47, 89, 164, 296. The correct answer is B.
