Eight car dealerships reported the number of cars they sold last month. Car Dealership Number of Cars Sold GMC 84 Chevrolet 81 Nissan 92 Toyota 92 Ford 95 Honda 94 Hyundai 80 Acura 72 What is the interquartile range of this set of data? 5 7.5 12.5 23

Step-by-step explanation:

Interquartile R range of an ungrouped data is expressed as R = Q3-Q1 where;

Q3 is the third quartile

Q1 is the first quartile

Given the Car Dealership Number of Cars Sold GMC as 84 Chevrolet 81 Nissan 92 Toyota 92 Ford 95 Honda 94 Hyundai 80 Acura 72

First let us arrange them in ascending order;

72, 80, 81, 84, 92, 92, 94, 95

Q3 = 3(n+1)/4 th observation where n is the total number of cars

Q3 = 3(8+1)/4 = 27/4

Q3 = 6.75th observation

Q3 = 6th obsrvation - 0.75(7th observation - 6th observation)

Q3 = 92-0.75(94-92)

Q3 = 92-0.75(2)

Q3 = 90.5

The 6.75th observation of the data is 90.5

Q1 = (n+1)/4 th observation where n is the total number of cars

Q1 = (8+1)/4 = 9/4

Q1 = 2.25th observation

Q1 = 2nd observation - 0.25(3rd observation - 2nd observation)

Q1 = 80-0.25(81-80)

Q1 = 80-0.25(1)

Q1 = 79.75

Interquartile range = Q3 - Q1

Interquartile range = 90.5 - 79.75

Interquartile range = 10.75

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step-by-step explanation:

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step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

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then, the solutions are: or

nothing extraneous has been found!