Question

art 1: [4 points] Find the measures of central tendency (mean, median, mode and range) for the following data set: 9, 13, 10, 7, 16, 15, 11

Part 2: [3 points] Tell which of these measures would best represent the whole data set and why.

Answer 1

I think you should first arrange this data in increasing order, and that you should then actually calculate the mean, median and range and obtain the mode by inspection. Then it will be a bit easier to answer the 2nd part of the question.

Answer 2

ok i did but i'm still thinking it might be the mean

Answer 3

or mode

Answer 4

First, please type out the set of numbers, this time arranged in increasing order. It's important to me that you understand the concepts involved, so I won't be responding as "right!" or "wrong." Want to understand your reasoning.

Answer 5

ok

Answer 6

waite

Answer 7

7,9,10,11,13, 15,16

Answer 8

Great. Now, how do you define "median?" Explain the process of finding the median when the number of data points happens to be ODD. Then find the median for this set of data.

Answer 9

the mean is 11.5

Answer 10

you median is the middle number and it's 11

Answer 11

the mode is 7

Answer 12

waite
there is no mode

Answer 13

the range is 7

Answer 14

Great. Finding the median is a little bit harder when the number of data points is even. But that's another story.
Regarding the mean: Have you rounded off your answer? If so, is 11.5 correct to 1 decimal place?

Answer 15

yes i calculated it to check it

Answer 16

Wouldn't the mean be 81/7? Do that on your calc.

Answer 17

yes

Answer 18

i need help on part two

Answer 19

I'm being picky here. 81/7=11.5714 should be rounded UP to 11.6, not down to 11.5. Get my drift?

Answer 20

hmmmm maybe

Answer 21

let me check

Answer 22

ok yeah your right oops

Answer 23

Gotcha.

Answer 24

OK, now write out the names and the values (if any) of the four measures we've discussed.

Answer 25

mean: 11.6 Median: 11 mode: there is no mode range: 7

Answer 26

So that pretty much eliminates both "mode" and "range" as measures of central tendency in this particular problem. Agreed or not?

Answer 27

agree

Answer 28

i think it might be the mean and median but how do explain why i think it's that

Answer 29

So that boils down to mean and median. Which do YOU think best represents the central tendency of this data set?

Answer 30

ummmm

Answer 31

the mean

Answer 32

because..

Answer 33

i dont how to explain why i think it's that

Answer 34

What I've done was to actually plot all the data on a number line and then mark the median and mean. One of them appears closer to the "middle" or "center" than does the other. Which one is that?

Answer 35

median

Answer 36

I'm treading on marshy ground right now, but my graph of the data shows that 11.5 is closer to the middle of the data set than is the median (11).

Again, what do YOU think, and why?

Answer 37

11.5 would represent the whole data set because it is

Answer 38

it is closer to middle of the data

Answer 39

am i right?

Answer 40

My conclusion would be the same as y ours. Here we're getting down to fine detail. Only you can decide whether or not it's worth the time to delve more deeply into the definitions of mean and median and then again consider which is the better measure of central tendency in this particular statistics problem. Personally, I think you should move on to another problem; you've done very well in this one.

Answer 41

ok thx

Answer 42

metal?

Answer 43

thx

Answer 44

metal? ??

Answer 45

yep you get one thx so much i understand

Answer 46

now

Answer 47

Oh.... thank you so much!! I do appreciate those medals, but I also get a great deal of satisfaction from this intellectual and social interaction . Best to you. Later, bro.

Answer 48

Or later, sis.

Answer 49

lol bye im a girl though

Answer 50

that's just fine with me! bye!

Answer 51

bye