What is Q1 for this data set?

{2, 3, 5, 5, 6, 8, 8, 9, 10, 11, 11, 11, 12}

Q1 = 5

Step-by-step explanation:

Q1 is the first quartile

Divide the data in half, that will get you Q2 or the second quartile

There are 13 data points so the middle is the 7th data point

2, 3, 5, 5, 6, 8,    8,       9, 10, 11, 11, 11, 12

Take the lower half of the data and divide it in half

There are 6 data points so the middle is between the 3rd and the 4th data point so we average them

2, 3, 5,    5, 6, 8,

(5+5)/2 = 10/2 = 5

The 1st quartile or Q1 = 5

true

explanation:

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.