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swat32
3 years ago
7

What is the five-number summary for the data set?

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Answer:

Min: 76

Q1: 82

Med: 89

Q2: 95

Max: 100

Step-by-step explanation:

First arrange the data set 76, 100, 88, 83, 97, 94, 90, 99, 82, 86, 95, 81, 79, 95 in ascending order:

76, 79, 81, <u>82</u>, 83, 86, 88, 90, 94, 95, <u>95</u>, 97, 99, 100

The minimum number is 76 and the maximum number is 100. There are 14 numbers, the median is the average of two middle terms:

Med=\dfrac{88+90}{2}=89

The middle term of first 7 numbers is 82 and the middle term of the second seven numbers is 95, so the five-number summary is

Min: 76

Q1: 82

Med: 89

Q2: 95

Max: 100

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