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TaelorElise99
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A poll asks shoppers at the mall how many cups of water they typically drink in a day. The results of the poll are listed below.


3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11


What is value of the first quartile?

Verified Answer :

irspow

First you find the median, the middle term (if there are an even number of terms it is the average of the middle two terms.)  Since you have 21 terms, odd, you just use the middle term, in this case 8.  The first quartile works the same way, but just on the left half between the start and the median...so the first quartile is 6.

Using the percentile concept, it is found that the value of the first quartile is of 6.

What is a percentile?

  • When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%.

In this problem:

  • There is a total of 21 measures.
  • The first quartile is the 25th percentile.

Hence:

\(0.25(21) = 5.25\)

Both the 5th and the 6th term of the ordered set are 6, hence the first quartile is of 6.

You can learn more about the percentile concept at https://brainly.com/question/24495213

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