Consider the following data set:
7.8, 0.6, 1.9, 5, 5.7, 0.7, 1.6, 5.9
Work out the IQR.

Population size:8

Lower quartile (xL): 0.925

Upper quartile (xU): 5.85

Interquartile range (xU-xL): 4.925

Step-by-step explanation:

4.65

Step-by-step explanation:

7.8, 0.6, 1.9, 5, 5.7, 0.7, 1.6, 5.9

Sort the data

0.6, 0.7, 1.6, 1.9, 5, 5.7, 5.9, 7.8

Q1: (0.7+1.6)/2

= 1.15

Q3: (5.7+5.9)/2

= 5.8

IQR = 5.8 - 1.15

= 4.65

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: