Find the mean, median, mode, and range for each data set given. a. 7,12,1,7,6,5,11 b. 85,105,95,

Find the mean, median, mode, and range for each data set...

Key Concepts

Mean

Mean is the arithmetic average of a set of numbers, calculated by summing all the values and then dividing the total by the number of values. It provides a measure of central tendency that represents the typical value in the dataset.

Median

Median is the middle value in an ordered (sorted) data set. For an odd number of values, it is the center value, and for an even number of values, it is calculated as the average of the two middle numbers. It is a useful measure of central tendency that is less affected by outliers.

Mode

Mode is the value that appears most frequently in a dataset. A set of numbers may have one mode, more than one mode if several values appear with the same highest frequency, or no mode if no number repeats.

Range

Range is a measure of spread in a dataset, calculated as the difference between the highest and lowest values. It provides a simple measure of dispersion, showing the extent of variation in the dataset.

Transcript

00:01 All right, for this one, there are a lot of answers, and so i'm going to try my best to go about how to do it.

00:06 But if i were to do every single calculation, we'd be here for 20 minutes.

00:10 So i'm not going to do that.

00:11 The mean happens when you add every single number up and then divide by the number of numbers.

00:17 For instance, i would add all these up and then divide by seven because there are seven numbers.

00:23 Just so happens, the mean is seven for this one.

00:26 And this one, i would add them up and divide by five for five numbers.

00:29 And so i'm going to write the means that i have calculated beforehand.

00:33 Ooh, this one's a decimal, 10 .375.

00:37 I'll do 10 .4 to round.

00:40 Sorry that it highlights the text as i go there, but it'll look good in a bit.

00:45 Add them up, divide by the number of numbers.

00:47 And these are the means if i continue that process.

00:51 Okay? now, median, on the other hand, median says, hey, put these in order from least to greatest.

00:57 It would be like one.

00:59 I'll do this one out.

01:00 I'll do one out for you guys.

01:02 And if it happens twice, you got to put both numbers there.

01:05 And then you find the middle of the numbers.

01:07 So it would be like crossing out on each side until you find the middle number.

01:12 So the median is also seven for this.

01:14 Again, put them in least to greatest.

01:16 Find the middle number.

01:17 I've done that beforehand.

01:18 It's 95, which you can see is an actual value.

01:22 Oh, and by the way, if there's two middle numbers, you find the mean of them.

01:26 Like you would add them up and divide by two.

01:28 So that might happen every now and then.

01:30 Like for this one, the mean is 10 .5, which happens because the middle number, there's two.

01:36 It's 10 and 11 if you put them in order from least to greatest.

01:39 And if you add 10 and 11 up and divide by two, you get 10 .5.

01:44 All right.

01:45 Then this median is 8.

01:46 This median is 45.

01:48 And this median is 13...

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