Question

Roger wishes to determine the average high temperature for any given day in his city. to do this, he records the high temperature for everyday in december, january, and february. he then adds the temperatures together and divides the sum by the number of days in his sample. explain why his data would not provide relevant results for what he was trying to accomplish.

1. Because Roger was computing the average over a three-month period rather than for a single day, his method would not produce data that were relevant to what he was attempting to do.

### How to calculate the mean daily temperature?

Calculate an area’s mean daily temperatures for each day of the year, often a town or city. For a 24-hour period, record the temperature data on the hour. To determine the mean daily temperature, add the hourly values together and divide the result by 24.

### How to find the mean temperature?

Any given data’s mean or average is just the ratio of that data’s total and its sample size.
Adding the temperatures for the time period you want to study and dividing the total by the number of temperatures you included is all that is required to determine the average temperature.
However, Roger’s goal in this question is to determine the average temperature for any given set of data. Since we are aware that temperatures in a 24-hour period can fluctuate, we can easily determine the mean or average for a given day by adding all of the temperatures for that day and then dividing by the total number of temperatures.
Because Roger was calculating the average over a three-month period rather than for a single day, his method would not produce results that were applicable to what he was trying to achieve.