Question

One of the points in the plot represents the town of Glenwood Springs, which has an elevation of 6069 ft. and a mean January temperature of 24 F°. Find the percentile for Glenwood Spring’s elevation among the towns in this data set.

Answer 1

To find the percentile for Glenwood Springs' elevation among the towns in this data set, we need to compare its elevation to the elevations of all the other towns.

Let's assume that we have the elevation data for all the towns in the data set. We can arrange the elevations in ascending order to create a sorted list.

Next, we need to determine the position of Glenwood Springs' elevation in this sorted list. If Glenwood Springs' elevation is the nth value in the list, then the percentile for its elevation can be calculated using the following formula:

Percentile = (n / N) * 100

where n is the position of Glenwood Springs' elevation in the sorted list, and N is the total number of towns in the data set.

For example, if Glenwood Springs' elevation is the 10th value in the sorted list, and there are a total of 50 towns in the data set, then the percentile for its elevation would be:

Percentile = (10 / 50) * 100 = 20%

Therefore, the percentile for Glenwood Springs' elevation among the towns in this data set would be 20%.

Please note that the actual calculation depends on the specific data set and the position of Glenwood Springs' elevation in the sorted list.

Explanation: