Question

For a month, Mrs. McCoy's science class recorded the low temperature each day.

Daily low temperature (°F)
40
44
48
52
56
60
What was the upper quartile of the temperatures?

Answer 1

56 would be the correct answer

Answer 2

The upper quartile of Mrs. McCoy's science class daily low temperatures is 50°F. This indicates that 25% of the recorded temperatures were 50°F or higher.

To find the upper quartile of the temperatures, we need to arrange the data in ascending order and then identify the median of the upper half of the dataset. Given the temperatures:

`\[ 40, \, 44, \, 48, \, 52, \, 56, \, 60 \]`

Firstly, organize the data in ascending order:

`\[ 40, \, 44, \, 48, \, 52, \, 56, \, 60 \]`

Next, find the median of the upper half. Since there are an even number of observations (6), the upper quartile is the average of the two middle values. The middle values are 48 and 52:

`\[ \text{Upper Quartile} = (48 + 52)/(2) = (100)/(2) = 50 \]`

Therefore, the upper quartile of Mrs. McCoy's science class daily low temperatures is 50°F. This indicates that 25% of the recorded temperatures were 50°F or higher.