Question

Medal!

Answer 1

Why is it important to take a random sample of the population you want to study? @UnkleRhaukus

Answer 2

We want the sample to accurately represent the population,
if we do not have a randomized sample, there will probably be biases

Answer 3

Can u help me with 1 last question?

Answer 4

ok

Answer 5

Which measure of center is more affected by outliers in the data and why?

Answer 6

out of the options: mean median and mode?

Answer 7

I dont know?

Answer 8

Do you know what the mean, median, and mode of a sample are?

Answer 9

I know what mean,median and mode are but i dont understand what you mean by a sample

Answer 10

the sample is the data you might have collected

the sample is a small part of the population

Answer 11

Ohk

Answer 12

lets consider a sample of numbers {2,3,4,4,4,6,12 }

(12 is the outlier)

what are the mean, median and mode?

Answer 13

So the mean is 5

Answer 14

yes

Answer 15

THe median is 4

Answer 16

The mode is also 4

Answer 17

Generally, when data has an outlier, or multiple, the data will become skewed. In essence, losing its ability to provide the best \( \sf central~ location\) for this data.

Reckoning this, the medium becomes the best measure of central tendency.

Answer 18

Good work!

what would we have got if we removed the outlier {2,3,4,4,4,6}

Answer 19

different answers

Answer 20

Thank you @tHe_FiZiCx99

Answer 21

Ingenious answer, Lauren +1

Answer 22

xD

Answer 23

the three measures of centre will (in general) be effected by outliers,
but one will be more effected than the others

Answer 24

the median?

Answer 25

Okay!

Answer 26

So would i write for my answer: the three measures of centre will (in general) be effected by outliers, but one will be more effected than the others which is the median.

Answer 27

without the outlier we get
mean = 3.8,
median = 4,
mode = 4

Answer 28

the question asks which is the most effected, And why

Answer 29

Oh...So how would i write my answer?

Answer 30

use your own words,

Answer 31

So would i say: The median gets effected the most because....

Answer 32

I dont know....

Answer 33

Why are the the median and the mode unlikely to be unaffected by outliers?

Answer 34

ummmm because You dont need to multiply anything?

Answer 35

yeah, that is along the right lines

Answer 36

ok

Answer 37

The mean is the only measure of centre with explicit calculations right?

Answer 38

Yeah

Answer 39

The median you dont really need to do any calculations

Answer 40

right

Answer 41

So could i say : The median gets effected the most because you dont really need to do any calculations and it still wouldnt be affected by the outliners?

Answer 42

*outliers

Answer 43

almost, try reword it again

Answer 44

I dont know xD

Answer 45

wait, isn't it the mean that changed?

Answer 46

um Yeah it changed to 3.8

Answer 47

The mean is the only measure of centre that actually used all the data point in the sample.

Answer 48

Ohk....This is getting confusing xD

Answer 49

But i still dont know how to write my answer?

Answer 50

Can you help me write the answer @UnkleRhaukus I have tried my best

Answer 51

Can you help me write the answer @tHe_FiZiCx99

Answer 52

My answer is basically what I noted above. Explication-wise, Rhaukus covered most of it.

Answer 53

Ok

Answer 54

Could you change the words in the sentence so i can understand them a bit better @tHe_FiZiCx99 : Generally, when data has an outlier, or multiple, the data will become skewed. In essence, losing its ability to provide the best central location for this data. Reckoning this, the medium becomes the best measure of central tendency.

Answer 55

The mean gets effected the most because this is the measure of centre
that is a calculation involving all the values (including outliers).

Answer 56

I understand now xDDDDDD

Answer 57

Basically ^^

Answer 58

THANK YOU ALLL SO MUCH!!!!!!!!!!!!!!!!

Answer 59

'Welcome, I guess

Answer 60

(The best measure of centre is the one that is least affected by outliers )

Answer 61

TY!

Answer 62

\[\ddot\smile\]