Question

The following data show the scores Gina obtained on 12 IQ tests: 93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86 The box plot represents these data: box plot has minimum value equal to 74, lower quartile equal to 83, median equal to 89, upper quartile equal to 92. 5 and maximum value equal to 94 Which of the following is shown incorrectly in the box plot? Median Lower quartile Upper quartile Maximum value.

Answer 1

The upper quartile is shown incorrectly in the box plot. So, the third option is correct.

Given

Data values are: 93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86.

Box plot has a minimum value equal to 74, lower quartile equal to 83, median equal to 86.5, upper quartile equal to 89, and a maximum value equal to 94.

What is the upper and lower quartile?

The upper quartile is the value of the middle of the second set, where 75% of the values are smaller than Q3 and 25% are larger.

Arrange the data values in ascending order.

74, 74, 83, 83, 83, 86, 87, 90, 92, 93, 93, 94

Divide the data in 4 equal parts.

(74, 74, 83), (83, 83, 86), (87, 90, 92), (93, 93, 94)

Then,

The maximum value is 74.

The value of the first quartile is;

$=\dfrac{83+83}{2}\\\\ = \dfrac{166}{2}\\\\=83$

The value of the third quartile is;

$=\dfrac{92+93}{2}\\\\=\dfrac{185}{2}\\\\=92.5$

And the value of median the given data is;

$= \dfrac{86+87}{2}\\\\= \dfrac{173}{2}\\\\=86.5$

Hence, the value of the upper quartile in the box plot is 89 which is not equal to 92.5. Thus, the third option is correct.

To know more about the Upper quartile click the link given below.

brainly.com/question/4530105