The following frequency table summarizes a set of data. What is the five-number summary?

Value 

 Frequency 

7

2

8

3

9

2

10

3

11

3

13

1

14

1

in Statistics Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

5 Number summary:

Value Frequency Cummulative Freq.
7 2 2
8 3 5
9 2 7
10 3 10
11 3 13
13 1 14
14 1 15

Min: 7

Max: 14

*************

(15+1)/2 = 8

So, 8th term is our median. From cummulative frequency we can see 8th term has the value of 10.

Therefore, Median: 10

**************

Q1 = (n+1)/4 th term

(15+1)/4 = 16/4 = 4th position

So, Q1 = 8,  Since 4th position in our table has value of 8

******************

Q3 postion = Q1 position + median position = 8+4 =12

So, 12 term is our Q3,

Q3: 11, Since 12 term has value 11.

TLDR;

Min: 7

Q1: 8

Median: 10

Q3: 11

Max: 14

 

 

by Level 8 User (30.1k points)

Related questions

1 answer
2 answers
1 answer
0 answers
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,516 questions
100,279 answers
2,420 comments
732,253 users