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The following stem-and-leaf plot represents the test scores for 26 students in a class on their most recent test. Use the data provided to find the quartiles.

Stem Leaves

6 0 1 2 2 4 7 8

7 0 1 2 5 8

8 3 6 6 7 9 9

9 0 1 2 2 2 4 5 8

Key:

6|0=60

Find the first quartile and third quartile

Respuesta :

Considering the given data-set, the quartiles are given as follows:

  • The first quartile is of 67.5.
  • The third quartile is of 91.5.

What are the median and the quartiles of a data-set?

  • The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
  • The first quartile is the median of the first half of the data-set.
  • The third quartile is the median of the second half of the data-set.

There is an even number of elements(26), hence the median is the mean of the 13th and 14th elements, the first half is the 12 elements from 1 to 12, and the second half is the 12 elements from 15 to 26.

The first quartile is the mean of the 6th and 7th elements, which are 67 and 68, hence:

Q1 = (67 + 68)/2 = 67.5.

The third quartile is the mean of the 6th and 7th elements of the second half, hence:

Q3 = (91 + 92)/2 = 91.5.

More can be learned about the quartiles of a data-set at https://brainly.com/question/28017610

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