Protein Powder During a quality assurance che...

Question

Protein Powder During a quality assurance check, the actual contents (in grams) of six containers of protein powder were recorded as 1525, 1526, 1502, 1516, 1529, and 1511.

a. Find the mean and the median of the contents.

Accepted Answer

Welcome back everyone to another video. A nutrition company inspects 6 boxes of meal replacement bars and records their weights in grams as 1,348, 1,352, 1,339, 1,345, 1,355, and 1,341. What are the mean and median weights of these boxes? For this problem we want to identify both the mean and median. So first of all, what we're going to do is arrange our data in ascending order. So we begin with 1339. This is our lowest value, followed by 1341. This is our next value. Followed by 1345. And then we have 3 more. 1348. Followed by 1352 and 1355. So, that would be our data arranged in ascending order. We can begin by identifying the mean. Let's recall that we identify our mean as the sum of X values divided by the sample size N. We're going to take 1339 + 1341 plus 1345 plus 1348 plus 1352 plus 1355. And we have to divide by the sample size of 6. When we perform the calculation, we end up with 1346.7, and our units are grams. So that would be me. Our mean value and then we can proceed with the median value. First of all, let's understand that 6 is an even number, and whenever this is the case, we have to identify two central values in our data set. Specifically, those would be the 3rd 1 and the 4th 1, right? Because if we isolate them, we have the same number of data points to the left and to the right, 2 on the left and 2 on the right. So, to identify our median, we simply have to average the two central values, 1345 plus 134 8 divided by 2. Which gives us 1346.5 g, and that would be our median value. Well done, thank you for watching.

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Protein Powder During a quality assurance check, the actual contents (in grams) of six containers of protein powder were recorded as 1525, 1526, 1502, 1516, 1529, and 1511.

a. Find the mean and the median of the contents.

Key Concepts

Mean

Median

Descriptive Statistics

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Protein Powder During a quality assurance check, the actual contents (in grams) of six containers of protein powder were recorded as 1525, 1526, 1502, 1516, 1529, and 1511.a. Find the mean and the median of the contents.