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Determine the Five Number Summary:

A. 13.7; 29.1; 34.9; 36.6; 42.8
B. 7.0; 29.1; 36.6; 42.8; 67.0
C. 7.0; 29.1; 34.9; 42.8; 67.0
D. 3.7; 13.7; 34.9; 36.6; 187.9
E. 7.0; 34.9; 36.6; 39.8; 67.0

Answer :

The correct five-number summary is:

E. Minimum: 7.0; Q1: 34.9; Q2: 36.6; Q3: 39.8; Maximum: 67.0

The five-number summary consists of the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum of a dataset. To find the five-number summary, you need to arrange the data in ascending order.

Let's look at the given options:

A. 13.7; 29.1; 34.9; 36.6; 42.8

B. 7.0; 29.1; 36.6; 42.8; 67.0

C. 7.0; 29.1; 34.9; 42.8; 67.0

D. 3.7; 13.7; 34.9; 36.6; 187.9

E. 7.0; 34.9; 36.6; 39.8; 67.0

Let's sort the numbers in ascending order for each option:

A. 13.7; 29.1; 34.9; 36.6; 42.8

B. 7.0; 29.1; 36.6; 42.8; 67.0

C. 7.0; 29.1; 34.9; 42.8; 67.0

D. 3.7; 13.7; 34.9; 36.6; 187.9

E. 7.0; 34.9; 36.6; 39.8; 67.0

Now, let's determine the five-number summary for each option:

Minimum: The smallest number in the dataset.

Q1 (First Quartile): The median of the lower half of the dataset.

Q2 (Median): The middle value of the dataset.

Q3 (Third Quartile): The median of the upper half of the dataset.

Maximum: The largest number in the dataset.

A. Minimum: 13.7; Q1: 29.1; Q2: 34.9; Q3: 36.6; Maximum: 42.8

B. Minimum: 7.0; Q1: 29.1; Q2: 36.6; Q3: 42.8; Maximum: 67.0

C. Minimum: 7.0; Q1: 29.1; Q2: 34.9; Q3: 42.8; Maximum: 67.0

D. Minimum: 3.7; Q1: 13.7; Q2: 34.9; Q3: 36.6; Maximum: 187.9

E. Minimum: 7.0; Q1: 34.9; Q2: 36.6; Q3: 39.8; Maximum: 67.0

Therefore, the correct five-number summary is:

E. Minimum: 7.0; Q1: 34.9; Q2: 36.6; Q3: 39.8; Maximum: 67.0

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