1. Shade in the area in the boxes that corresponds to the number given (eyeball

Question

1. Shade in the area in the boxes that corresponds to the number given (eyeball it): Each graph is a graph of the hourly production of light bulbs over a 24 hour period (shown in 6-hour blocks). As you can see the production is uniform, the same number is produced every hour of the day.

(a) color in the 80th percentile (80%) of the hourly data points.

(b) color in 20% of the data points with 10% at each end of the day (approximate it)

(c) color in 5% of the data points split evenly at the two ends (approximate it)

(d) What percent of the data points are produced after 20 hours? (show that point on the graph also)

Explanation / Answer

4 blocks represent the 24 hours

means that each block denote 6hours work

a) 80 percentile

we first calculate the 80% of 24

which is equal to (80/100)*24 = 19.2

now this means 19.2 h0urs

to get the shaded region we will divide it by 6

19.2/6 = 3.2 portion out of 4 to be shaded.

b) 20% will be

4.8 hours

4.8/6 = 0.8 box to be shaded

c)5%

it will be 0.05*24 = 1.2 hours

1.2/6 = 0.2 box to be shaded

d)after 20 hours

this will be calulated after takin percemtage

20/24 = 83.33%

83.33% 0f 6 = 4.99 box to be shaded

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