Question

The normal daily minimum temperature in degrees Fahrenheit for the months of January through December in a certain city are given below. 46.7 48.4 48.6 49.2 50.7 52. 5 53.1 54.2 55.8 54.8 52.2 47, 2 Find the average median average and the median daily temperature in the city for these months. (Round your answers to one decimal place.)

Answer 1

Answer: Average = 51.1° F

Median = 51.5 ° F

Explanation:

Step 1

Arranging the data set in Ascending Order

46.7 48.4 48.6 49.2 50.7 52.5 53.1 54.2 55.8 54.8 52.2 47.2

Will become,

46.7, 47.2, 48.4, 48.6, 49.2, 50.7, 52.2, 52.5, 53.1, 54.2, 54.8, 55.8

Step 2 - Calculating Average Temperature

= (46.7 + 47.2 + 48.4 + 48.6 + 49.2 + 50.7 + 52.2 + 52.5 + 53.1 + 54.2 + 54.8 + 55.8) / 12

= 51.1 °F is the Average Temperature

Step 3- Calculating Median

It is an even number of observations so we shall take the two in the middle and divide by 2 to get the Median.

= (50.7 + 52.2) / 2

= 51.45

= 51.5 ° F (1dp)

51.5 °F is the median temperature.