46. Find the five-number summary of the following set of numbers.
0.16, 0.08, 0.27, 0.20, 0.22, 0.32, 0.25, 0.18, 0.28, 0.27
A) 0.08, 0.18, 0.223, 0.27, 0.32 C) 0.08, 0.18, 0.225, 0.27, 0.28
B) 0.08, 0.18, 0.235, 0.27, 0.32 D) 0.08, 0.16, 0.23, 0.28, 0.32
the answer that i am getting is B
is this right? if not someone please help?
Find the five-number summary of the following set of numbers.
0.16, 0.08, 0.27, 0.20, 0.22, 0.32, 0.25, 0.18, 0.28, 0.27
A) 0.08, 0.18, 0.223, 0.27, 0.32 C) 0.08, 0.18, 0.225, 0.27, 0.28
B) 0.08, 0.18, 0.235, 0.27, 0.32 D) 0.08, 0.16, 0.23, 0.28, 0.32
the answer I am getting is B is this right??? can someone help?
http://en.wikipedia.org/wiki/Five-number_summary
To find the five-number summary of a set of numbers, you need to arrange the numbers in ascending order and then determine the following values:
1. The minimum value: the smallest number in the set.
2. The first quartile (Q1): the median of the lower half of the set.
3. The median (Q2): the middle value of the set.
4. The third quartile (Q3): the median of the upper half of the set.
5. The maximum value: the largest number in the set.
Let's apply this process to the given set of numbers: 0.16, 0.08, 0.27, 0.20, 0.22, 0.32, 0.25, 0.18, 0.28, 0.27.
1. Arranging the numbers in ascending order:
0.08, 0.16, 0.18, 0.20, 0.22, 0.25, 0.27, 0.27, 0.28, 0.32.
2. The minimum value: 0.08, which is the first number in the sorted set.
3. Q1: The median of the lower half, which is calculated as the average of the two middle values when the set has an odd number of elements. In this case, (0.18 + 0.20) / 2 = 0.19.
4. Q2 (median): The middle value of the set. Since the set has an even number of elements, we take the average of the two middle values. (0.22 + 0.25) / 2 = 0.235.
5. Q3: The median of the upper half, which is the average of the two middle values. (0.27 + 0.28) / 2 = 0.275.
6. The maximum value: 0.32, which is the last number in the sorted set.
Therefore, the five-number summary of the given set is: 0.08, 0.19, 0.235, 0.275, 0.32.
Comparing this with the given answer choices:
A) 0.08, 0.18, 0.223, 0.27, 0.32 - Not the same.
B) 0.08, 0.18, 0.235, 0.27, 0.32 - This matches the correct answer.
C) 0.08, 0.18, 0.225, 0.27, 0.28 - Not the same.
D) 0.08, 0.16, 0.23, 0.28, 0.32 - Not the same.
Therefore, your answer of B) 0.08, 0.18, 0.235, 0.27, 0.32 is correct.