Question

Debbie did a survey of how many states the members of her class had visited. The results were:
10, 15, 23, 2, 21, 31, 14, 10, 8, 17, 11, 19, 8, 42, 15, 22, 6, 34, 19, 3, 24.

What is the five-number summary for this set of data?

I need a real answer please i will mark brainiest, DO not copy and paste from other websites!!!!

Answer 1

0-10 : 5

10-20 : 9

20-30 : 4

30-40 : 2

40- 50 : 1

Answer 2

Concept

Five number summary gives you a brief description of how your data looks like.Main reason to find five number summary is to find useful statistics like the interquartile range.

Given

Results are 10, 15, 23, 2, 21, 31, 14, 10, 8, 17, 11, 19, 8, 42, 15, 22, 6, 34, 19, 3, 24

Find

Five number summary for this set of data

Explanation

Step 1 : Arrange the numbers in ascending order from smallest to largest.

Step 2 : Find the maximum and minimum value of the data given

Step 3 : Find the median, median is the middle number of the data

Step 4 : Place brackets around the median

Step 5 : Find Q1 and Q3

Step 6 : Write down your summarry from above steps

Solution

Arrange the data in ascending order

2, 3, 6, 8, 8, 10, 10, 11, 14, 15, 15, 17, 19, 19, 21, 22, 23, 24, 31, 34, 42

Max Value = 42

Min Value = 2

Median = (21+1)/2 = 22/2 =11th term

Median = 15

(2, 3, 6, 8, 8, 10, 10, 11, 14, 15) 15 (17, 19, 19, 21, 22, 23, 24, 31, 34, 42)

Now find Q1 and Q3

Q1 =  Median of left side i.e of (2, 3, 6, 8, 8, 10, 10, 11, 14, 15)

Q1 = (8+10)/2 = 9

Q3 = Median of right side i.e of (17, 19, 19, 21, 22, 23, 24, 31, 34, 42)

Q3 = (22+23)/2 = 22.5

FIve Number Summary is

Min =2

Q1 = 9

Median = 15

Q3 = 22.5

Max = 42

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