Question

There are 10 friends who are trying to play and beat the video game, Breath of the Wild. There are 76 side quests in this game. Some of them think that side quests are important, and some do not. The number of side quests completed by the ten friends are as follows:

25, 28, 29, 30, 34, 35, 35, 37, 38

Required:
Find the 5 Number Summary.

Answer 1

2; 28.5 ; 34 ; 36 ; 38

Explanation:

Given the data:

X = 25, 28, 29, 30, 34, 35, 35, 37, 38

n = 9

Values have been arranged in ascending order ;

The 5 number summary :

Maximum value : highest data value in the list = 38

Minimum value : Lowest data value in the list = 25

The lower quartile ; Q1 = 1/4(n+1)th term

Q1 = 1/4(10) th term = 2.5th term

Q1 = (2nd + 3rd) / 2 = (28+29)/2 = 28.5

Q2 = 1/2(n+1)th term

Q2 = 1/2(10) th term = 5th term

Q2 = 34

Q3 = 3/4(n+1)th term

Q3 = 3/4(10) th term = 7.5th term

Q3 = (7th + 8th) / 2 = (35+37)/2 = 36

Maximum value = 38 (highest data value in the list)