Tape Diagrams and Writing Equations Write an algebraic equation for this tape diagram. Then determine the value of x. You may use a calculator.

3x + 16 = 22.75

3 = 22.75 - 16

3× = 6.75

3 3

x= 2.25

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.