Question

What is the five number summary for 107 , 92 , 111, 119, 99, 100, 89, 94, 125, 93

Answer 1

Min: 89

Q1: 93

Q2: 99.5

Q3: 111

Max: 125

Explanation:

`\[107, 92, 111, 119, 99, 100, 89, 94, 125, 93\]`

Min: The smallest value is 89.

Q1: This is the median of the lower half of the dataset. Arrange the numbers in ascending order: 89, 92, 93, 94, 99. The median of this lower half is 93.

Q2: The median of the entire dataset is 99.5. This is the middle value when the data is arranged in ascending order.

Q3: This is the median of the upper half of the dataset. Arrange the numbers in ascending order: 100, 107, 111, 119, 125. The median of this upper half is 111.

Max: The largest value is 125.

So, the five-number summary is:

- Min: 89

- Q1: 93

- Q2: 99.5

- Q3: 111

- Max: 125