Question

What is the five-number summary for the data set? 340 245 322 766 88 455 160 244 483 610 527

Answer 1

1. Minimum Value = 88
2. First Quartile (Q₁) = 244.5
3. Median = 340
4. Third Quartile (Q₃) = 505
5. Maximum Value = 766

Explanation:

The five-number summary includes five things that are:

1. Minimum Value
2. First Quartile (Q₁)
3. Median
4. Third Quartile (Q₃)
5. Maximum Value

So,

1. Minimum Value = 88

It can be found by arranging the data in ascending order, the first value we will get is the minimum value.

2. First Quartile is the middle value between Minimum value and Median of data after arranging data in ascending order.

First Quartile (Q₁) = 244.5

3. Median is the middle value of the data after arranging them in ascending order.

Median = 340

4. The third Quartile is the middle value between Median and Maximum Value of data after arranging data in ascending order.

Third Quartile (Q₃) = 505

5. Maximum Value is the largest value of the data or is the last value after arranging the data in ascending order.

Maximum Value = 766.