Question

Find the 5 number summary for the data shown x 3.1 10.2 12 12.1 12.2 15.3 27.9 30

Answer 1

Answer:

  Min.     1st Qu.    Median      Mean       3rd Qu.        Max.  

  3.10     11.55       12.15        15.35        18.45         30.00

Step-by-step 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 = 3.10

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) = 11.55

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

Median = 12.15

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

Third Quartile (Q₃) = 18.45

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

Maximum Value = 30.

Percentiles are mostly use in very large data. Here n percent of data shows the nth percentile.