Base on the data above, identify the 5 number summary

Question

Here is a set of sample data.

67	60	61	20	97	74	44	58	36	7
96	68	5	4	98	18	57	13	53	10
40	26	64	28

Base on the data above, identify the 5 number summary 

, , , , 

Answer 1

Hello Anni, please check the answer below:

The five-number summary consists of the following values:

1. Minimum: The smallest value in the dataset.
2. First Quartile (Q1): The median of the lower half of the dataset.
3. Median (Q2 or the Second Quartile): The middle value of the dataset.
4. Third Quartile (Q3): The median of the upper half of the dataset.
5. Maximum: The largest value in the dataset.

Now, let's calculate these values for the given dataset:

Sorted Data: 4, 5, 7, 10, 13, 18, 20, 26, 28, 36, 40, 44, 53, 57, 58, 60, 61, 64, 67, 68, 74, 96, 97, 98

1. Minimum: 4
2. Q1 (First Quartile): The median of the lower half (from 4 to 36) is the average of the two middle values (10 and 18), so Q1 = (10 + 18) / 2 = 14.
3. Median (Q2): The median of the entire dataset is the average of the two middle values (40 and 44), so Q2 = (40 + 44) / 2 = 42.
4. Q3 (Third Quartile): The median of the upper half (from 44 to 98) is the average of the two middle values (57 and 58), so Q3 = (57 + 58) / 2 = 57.5.
5. Maximum: 98

Therefore, the five-number summary is: 4, 14, 42, 57.5, 98.

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