The low temperatures for 7 days in January in degrees Fahrenheit were -2,0,5,-1,-4,2, and 0 . Fi

step 1 Okay, so here we're going to find the average. And what you find the average is you're going to

The low temperatures for 7 days in January in degrees...

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Key Concepts

Summation

Summation is the process of adding a set of numbers together to find their total. This step is critical when computing averages, especially when the dataset includes both positive and negative values.

Arithmetic Mean

The arithmetic mean is the most commonly used type of average, calculated by summing all the values in a dataset and then dividing by the number of values. It provides a measure of central tendency that represents the typical value in a distribution.

Division

Division is the mathematical operation used to find the average by taking the total sum of the numbers and dividing it by the count of the numbers in the dataset. This ensures that the result reflects the mean value per data point.

Transcript

00:01 Okay, so here we're going to find the average.

00:02 And what you find the average is you're going to add up all the data pieces, get the sum, and then divide by the number of pieces of data in a set.

00:09 So in this case, you're going to add all this up and divide by 1, 2, 3, 4, 5, 6, 7.

00:16 So there's a couple ways to do this.

00:19 You could do it two at a time, where you just go through each pair and get the value, and then combine those values.

00:25 So you can do like negative 2 plus 0 as negative 2.

00:31 5 plus negative 1 is going to be the positive winning by 4.

00:38 Negative 4 plus 2.

00:40 It's going to be the negative winning by 2.

00:43 And then bring the 0 down.

00:46 Okay.

00:47 And then you can combine these, right? so negative 2 plus 4, positive wins by 2.

00:53 And negative 2 plus 0, negative.

00:56 Wins by 2 and then you can combine the 2 and the negative 2 and get 0.

01:02 So the sum of all of this is worth nothing.

01:06 And 0 divided by anything, so in this case, 0 divided by 7, is still going to be 0.

01:13 So the average of this dataset is 0.

01:17 So it says, find the average for the 7 -day period, the average for the 7 -day period would be 0.

01:22 Okay? so the average for the seven -day period is zero degrees to answer this particular problem...

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