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zvonat [6]
3 years ago
13

What is the five number summary for this data set?

Mathematics
1 answer:
MrRa [10]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

The median is the middle value of the data set in ascending order. If there is no exact middle then the median is the average of the values either side of the middle.

Given

3   8   14   19   22   29   33   37   43   49

                            ↑ middle is between 22 and 29

median = \frac{22+29}{2} = \frac{51}{2} = 25.5

The upper quartile Q_{3} is the middle value of the data to the right of the median.

29   33   37   43   49

               ↑

Q_{3} = 37

The lower quartile Q_{1} is the middle value of the data to the left of the median.

3   8   14   19   22

           ↑

Q_{1} = 14

The min is the smallest value in the data set, that is 3

The max is the largest value in the data set, that is 49

The 5 number summary is

3,  14,  25.5,  37,  49

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The total paycheck for the week is of $672 as Chris bacon work for 44 hours last week, regular pay $14 per hour and double time pay for overtime.

As given,

Regular pay per hour = $14

Overtime work payment= 2 × ($14)

Total hours work done last week = 44hours

Let regular timing be 8 hours per day 5 days a week

Total regular working hours = 8 × 5

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2 years ago
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