Answer :
Everyone answers in idiotic answers, I swear -_-...
Anyways, I think I can help ^.^
1.) mean: 391.4; median: 410; mode: 556
2.) mean: 35; median: 29; mode: no mode
3.) mean: 617.6; median 692.5; mode: 792
4.) mean: 54.2; median: 39; mode: 85
5.) mean 47.5; median: 50; mode: no mode
Try the rest on your own! Here's some extra demonstration:
So, basically, to find the mean, you first have to add them all up, so, for example, say I have a data set (1,4,7,15,19)
To get the mean, add! 1+4+7+15+19=46
Now that we have them all added up, divide by how many numbers are in the data set. So for our data set, we have 5, --1:1 2:4 3:7 4:15 5:19--
46/5=9.2
So, 9.2 is our mean.
For our median, the data set must be in order from least to greatest. So, say we have the same data set, but the numbers aren't in order.
(7,4,19,1,15)
Obviously, we already know the order, but if we didn't, we'd have to order them from least to greatest, not too hard.
1,4,7,15,19
The median is, as it sounds, the middle number. For this example, we have an odd number of... numbers. So the answer is just the middle number (while the numbers are in order, of course), so the median will be 7.
However, if we have an odd amount of numbers, the median would be the two middle numbers average, which is also the mean! So say we have another data set for the median. --- (9,81,19,4,72,41)
Again, arrange from least to greatest-- (4,9,19,41,72,81)
Now the two middle numbers are 19 and 41. We must add them up --60-- and divide by two --30-- so our median in this example is 30
Mode, this is probably the easiest one yet, unless there is a ginormous amount of numbers that are all mainly around the same number. Then, it is not AS easy.
So, say we have the data set (13, 14, 17, 19, 19, 20, 24, 25, 25, 25, 30)
The mode is just simply the number with the most of its kind, which is my easiest way of explaining it. For this data, since there are 3 25's, the mode is 25.
However, for a data set with multiple numbers that have the same amount of its kind, there is no mode. Same goes for a data set with no repeating numbers.
So take these two data sets for example---
(1, 2, 4, 6, 6, 7, 8, 8, 9)
&
(1, 2, 3, 4, 5, 6, 7, 8, 9)
These both either have multiple re-occuring numbers with the same amount of repeats, or no re-occuring numbers at all.
I hope this was easy to understand!
Anyways, I think I can help ^.^
1.) mean: 391.4; median: 410; mode: 556
2.) mean: 35; median: 29; mode: no mode
3.) mean: 617.6; median 692.5; mode: 792
4.) mean: 54.2; median: 39; mode: 85
5.) mean 47.5; median: 50; mode: no mode
Try the rest on your own! Here's some extra demonstration:
So, basically, to find the mean, you first have to add them all up, so, for example, say I have a data set (1,4,7,15,19)
To get the mean, add! 1+4+7+15+19=46
Now that we have them all added up, divide by how many numbers are in the data set. So for our data set, we have 5, --1:1 2:4 3:7 4:15 5:19--
46/5=9.2
So, 9.2 is our mean.
For our median, the data set must be in order from least to greatest. So, say we have the same data set, but the numbers aren't in order.
(7,4,19,1,15)
Obviously, we already know the order, but if we didn't, we'd have to order them from least to greatest, not too hard.
1,4,7,15,19
The median is, as it sounds, the middle number. For this example, we have an odd number of... numbers. So the answer is just the middle number (while the numbers are in order, of course), so the median will be 7.
However, if we have an odd amount of numbers, the median would be the two middle numbers average, which is also the mean! So say we have another data set for the median. --- (9,81,19,4,72,41)
Again, arrange from least to greatest-- (4,9,19,41,72,81)
Now the two middle numbers are 19 and 41. We must add them up --60-- and divide by two --30-- so our median in this example is 30
Mode, this is probably the easiest one yet, unless there is a ginormous amount of numbers that are all mainly around the same number. Then, it is not AS easy.
So, say we have the data set (13, 14, 17, 19, 19, 20, 24, 25, 25, 25, 30)
The mode is just simply the number with the most of its kind, which is my easiest way of explaining it. For this data, since there are 3 25's, the mode is 25.
However, for a data set with multiple numbers that have the same amount of its kind, there is no mode. Same goes for a data set with no repeating numbers.
So take these two data sets for example---
(1, 2, 4, 6, 6, 7, 8, 8, 9)
&
(1, 2, 3, 4, 5, 6, 7, 8, 9)
These both either have multiple re-occuring numbers with the same amount of repeats, or no re-occuring numbers at all.
I hope this was easy to understand!
