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Vesnalui [34]
3 years ago
9

Given the set of data: 24, 43, 65, 12, 31, 78, 43, 24, 25, 18, 29, 53, 18, 23, 20, 43, 53, 25 Determine the quartiles.

Mathematics
1 answer:
worty [1.4K]3 years ago
4 0

Answer:

Lower quartile= 4.75

Middle quartile= 9.5

Upper quartile= 14.25

Step-by-step explanation:

The given date set is 24, 43, 65, 12, 31, 78, 43, 24, 25, 18, 29, 53, 18, 23, 20, 43, 53, 25

On counting them we notice that it's number of element is 18

So N = 18

Arranging them in ascending order gives

12,18,18,20,23,24,24,25,25,29,31,43,43,43,53,53,65,78

Lower quartile= (N+1)*1/4

Lower quartile= (18+1)/4

Lower quartile= 19/4

Lower quartile= 4.75

Middle quartile= (N+1)*2/4

Middle quartile= (18+1)*2/4

Middle quartile= (19)*2/4

Middle quartile= 9.5

Upper quartile= (N+1)*3/4

Upper quartile= (18+1)*3/4

Upper quartile= (19)*3/4

Upper quartile= 14.25

Inter quartile range = upper quartile- minutes lower quartile

= 14.25-4.75

= 9.5

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<u><em>a specific shade of red nail polish requires 7 parts of red to 2 parts of yellow. A mixture contains 35 quarts of red and 8 quarts of yellow. </em></u>

<u><em>How can you fix the mixture to make the correct shade of red? </em></u>

<u><em>: </em></u>

<u><em>The red:yellow ratio is 7:2, we can write the mixture as 7%2F9 or 77.8% red </em></u>

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<u><em>The existing mixture of 35:8 is a 43 quart mixture and can be written as: 35%2F43 or 81.4% red </em></u>

<u><em>: </em></u>

<u><em>we need to add yellow to reduce the per cent of red </em></u>

<u><em>: </em></u>

<u><em>Let y = amt of yellow required to do this </em></u>

<u><em>: </em></u>

<u><em> </em></u>

<u><em>  </em></u>

<u><em>7%2F9*(y+43) = 35 </em></u>

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<u><em>7y + 301 = 315 </em></u>

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<u><em>; </em></u>

<u><em>: </em></u>

<u><em>Check this, it still contains 35 quarts of red but the percentage has changed </em></u>

<u><em>35%2F45 = 77.8% red which is what we want, a ratio of 7:2</em></u>


<em>here you go i hope it helps</em>


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