Calculate the first, second, and third quartiles of the following sample. 5 8 2 9 5 3 7 4 2 7 4 10 4 3 5

3 ; 4.5 ; 7.25

Step-by-step explanation:

Given the sample :

8 2 9 5 3 7 4 2 7 4 10 4 3 5

Calculate, the first, second, and third quartiles

Arranging the data in ascending order :

2, 2, 3, 3, 4, 4, 4, 5, 5, 7, 7, 8, 9, 10

First quartile :

Q1 = [(n + 1) /4]th value

n = 14

Q1 = [(14 + 1) /4]th = (15/4)th = 3.75 value

Taking the average of the 3rs and 4th observation:

(3 +3) / 2 = 3

Second quartile :

Q2 = [2(n + 1) /4]th value

Q2 = 2(15)/4 = (30/4)th value

Q2 = 7.5 ; taking the 7th and 8th value

Q2 = (4 +5) /2 = 9/2 = 4.5

Q3 = [3(n + 1) /4]th value

Q2 = 3(15)/4 = (45/4)th value

Q2 = 11.25 ; taking the 11th

Q2 = 7 + 0.25 = 7.25

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation:

127

whether it's diameter, or radius, i believe if i remember correctly from school, every amount has to always add up to 180. so if you take 53, and starting adding, long story short, taking 127 and adding it to 53, gives you 180.