Question

This data set gives the scores of 41 students on a biology exam:

{66, 67, 67, 68, 80, 81, 81, 82, 22, 65, 66, 68, 69, 70, 71, 71, 71, 72, 72, 73, 73, 74, 75, 78, 78, 78, 78, 79, 79, 80, 80, 82, 83, 75, 75, 75, 76, 77, 83, 83, 99}

Which of the following is the best measure of the central tendency?
a. mean
b.median
c.mode
d.range

Answer 1

@shifuyanli

Answer 2

what do you think @Najia2000

Answer 3

Median

Answer 4

okay now define median for me please :)

Answer 5

Anything thats in the middle.

Answer 6

okay define mean

Answer 7

Mean = Average

Answer 8

define mode

Answer 9

A number that is repeated.

Answer 10

okay now define range

Answer 11

Range is the highest value minus lowest value

Answer 12

so what is the most reasonable answer to you?

Answer 13

I honestly think its either median or mean now.

Answer 14

median is middle it will in the end come down to one number so itt is..?

Answer 15

is it mean?

Answer 16

I'm more than confused right now. Can you tell me what central tendency is?

Answer 17

nonononononononononononono

Answer 18

Sorryyyy.

Answer 19

Definition of CENTRAL TENDENCY. : the degree of clustering of the values of a statistical distribution that is usually measured by the arithmetic mean, mode, or median.

Answer 20

Okay. So is it median? I really think its median right?

Answer 21

yes! :)

Answer 22

but ask @amistre64 first I just got in my math groove LOL

Answer 23

@amistre64 do you agree?

Answer 24

is that a 22 in there?

Answer 25

Yup.

Answer 26

outlier!!

Answer 27

What?^

Answer 28

22 is an outlier right?

Answer 29

outliers skew the mean giving a false impression.

Answer 30

oh...

Answer 31

Oh okay. So it is median though right?

Answer 32

i thought so

Answer 33

what our mode? do we have more than 1?

Answer 34

@Najia2000 ^

Answer 35

We only have one 22.

Answer 36

22 is not a mode, its an outlier

Answer 37

what is our mode? what number or number are used the most often?

Answer 38

yep it is

Answer 39

78 is used most often

Answer 40

75 and 78 are used equally as often

Answer 41

since we have more than one mode that represents it, then mode is not a good measure of central tendency

mean is out, mode is out, range is just absurd lol

that leaves us the median yes

Answer 42

Lol, thanks alot @amistre64
Do you know a link perhaps where i can practice more of these?

Answer 43

nothing other than the one i gave you earlier. it has literally ton of problems to work thru.

Answer 44

medain : middle number *OR* *average of middle two numbers*

Answer 45

41/2 is not going to give us an average ...

Answer 46

Thanks! and @Nnesha Your a little late anyways. :P

Answer 47

\(\color{blue}{\text{Originally Posted by}}\) @shifuyanli
median is middle it will in the end come down to one number so itt is..?
\(\color{blue}{\text{End of Quote}}\)
.^

Answer 48

for this data set, the middle number is the median; we have an odd number of datapoints which by default gives us a singular value from the dataset.

Answer 49

ik that
that's a definition in general
maybe it will help her for the next question
:-)

Answer 50

Thanks for that.

Answer 51

FIRST COMMENT IN SIX YEARS!!!!!