Question

the data below are the monthly average high temperatures for new york city. what is the median temperature? 40, 40, 48, 61, 72, 78, 84, 84, 76, 65, 54, 42 provide your answer below:

Explanation:

Step1: Sort the data

First, we need to sort the given data in ascending order. The data is: 40, 40, 48, 61, 72, 78, 84, 84, 76, 65, 54, 42. After sorting, it becomes: 40, 40, 42, 48, 54, 61, 65, 72, 76, 78, 84, 84.

Step2: Find the middle values

Since there are 12 data points (an even number), the median will be the average of the 6th and 7th values. The 6th value is 61 and the 7th value is 65.

Step3: Calculate the average

To find the median, we calculate the average of 61 and 65. The formula for the average of two numbers \(a\) and \(b\) is \(\frac{a + b}{2}\). So, \(\frac{61 + 65}{2}=\frac{126}{2} = 63\).

Answer:

63