Question

The following are the low temperatures in Wyoming for several cities

across the state: 71, 64, 55, 62, 60, 55, 53, 71, 64, 51, 73, 53, 44, 62, 80, 64
Find the quartiles for the temperatures.

a Lower quartile = 54 ________________

Answer 1

To find the lower quartile of the temperatures, the data is arranged in ascending order, and divided into two halves, and the median of the lower half is calculated, resulting in a lower quartile of 54.

Step-by-step explanation:

To find the quartiles of the given low-temperature data in Wyoming, we first need to organize the data in ascending order and then divide it into four equal parts. The first quartile, or lower quartile, is the median of the lower half of the data set.

1. Arrange the data in ascending order: 44, 51, 53, 53, 55, 55, 60, 62, 62, 64, 64, 64, 71, 71, 73, 80.
2. Since there are 16 data points, the lower half of the data set is the first 8 numbers: 44, 51, 53, 53, 55, 55, 60, 62.
3. The median of these 8 numbers is the average of the 4th and 5th values: (53+55)/2 = 54.

Therefore, the lower quartile, or Q1, is 54.