Question

The list shows 15 midday temperatures, in degrees Celsius, in suntown. find the upper quartile

17, 21, 21, 18, 23, 22, 25, 19, 21, 17, 19, 18, 21, 24, 23​

Answer 1

To find the upper quartile, we first need to find the median (Q2) of the data set:

Arrange the data set in ascending order:

17, 17, 18, 18, 19, 19, 21, 21, 21, 22, 23, 23, 24, 25

The median is the middle value, which is 21 in this case.

Next, we need to find the median of the upper half of the data set (values greater than 21):

22, 23, 23, 24, 25

The median of this subset is 23.

Therefore, the upper quartile is 23.

Explanation:

Answer 2

To find the upper quartile, we first need to arrange the data in ascending order:

17, 17, 18, 18, 19, 19, 21, 21, 21, 22, 23, 23, 24, 25

The upper quartile (Q3) is the median of the upper half of the data set. To find it, we need to identify the median of the upper half, which includes the values:

22, 23, 23, 24, 25

The median of this data set can be found by taking the average of the two middle values:

(23 + 24) / 2 = 23.5

Therefore, the upper quartile of the data set is 23.5°C.