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Identify which of the following statements aretrue.
1. Skewness measures how peaked a set of data is.
2. Skewness is a measure of asymmetry of the distribution of the data about its mean.
3. For a symmetrically distributed data, the mean equals the median but not necessarily the mode.
4. The value of a measure of skewness can be positive, zero or negative.
Suggested Answer: D
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33 comments · newest first
TE
Tess
10 months ago
I think statement I is false, skewness isn’t about how peaked it is.
SO
Son
11 months ago
Statement III is tricky, but it can happen.
AL
Alaine
11 months ago
Wait, the mean can be different from the mode? That’s surprising!
GE
Gearldine
11 months ago
Totally agree, statement II is definitely true!
TY
Tyra
11 months ago
Skewness is all about asymmetry, not peakedness.
MO
Monte
12 months ago
I feel like statement III is tricky; I know the mean and median are equal in symmetric distributions, but the mode can vary.
VI
Vicky
12 months ago
I practiced a similar question, and I think statements II, III, and IV are correct.
JO
Johnetta
12 months ago
I'm not so sure about statement I; I thought skewness was more about the shape rather than how peaked it is.
GR
Gregoria
1 year ago
I remember skewness is about the asymmetry of data, so I think statement II is true.
IN
India
1 year ago
Okay, I've got it. Statements 2 and 4 are the true ones - skewness is about asymmetry, and it can be positive, zero, or negative. I'm confident in selecting option B.
LI
Lili
1 year ago
Hmm, I'm not entirely sure about statement 1. I know skewness is related to the shape of the distribution, but I can't recall if it specifically measures "peakedness." I'll have to think this through carefully.
NI
Niesha
1 year ago
This looks straightforward. Statements 2 and 4 clearly describe the properties of skewness, so I'll go with option B.
TO
Tomas
1 year ago
I'm a bit confused by the difference between skewness and kurtosis. I'll need to review my notes to make sure I understand which one measures "peakedness" versus asymmetry.
PE
Pearly
1 year ago
Okay, let me think this through. Skewness is about the asymmetry of the data distribution, so statements 2 and 4 seem relevant. I'll need to double-check the definitions of mean, median, and mode to determine if statement 3 is true.
TE
Tess
1 year ago
All these statements sound like statistics mumbo-jumbo to me. I'm just going to close my eyes and pick an answer. Eeny, meeny, miny, moe...
AR
Aretha
1 year ago
I agree with you, I also think it's B) II and IV.
LA
Laine
1 year ago
I'm going with C) I and III.
SH
Sheridan
1 year ago
I think the correct answer is B) II and IV.
SH
Sherill
1 year ago
Haha, I bet the mode and median will be the same for a symmetric distribution. That's just common sense! Option C seems like the way to go here.
YV
Yvonne
1 year ago
So, option C would be the correct choice then.
SH
Sheridan
1 year ago
Yeah, that's true. Skewness is all about the asymmetry around the mean.
AF
Afton
1 year ago
I think you're right, the mode and median can be the same for a symmetric distribution.
MA
Margarett
1 year ago
I think I'll go with option B. Statements 2 and 4 make the most sense to me. The whole 'peaked' thing in statement 1 is a bit confusing.
AL
Alverta
1 year ago
I think I'll go with option B too, statements 2 and 4 make the most sense to me.
EL
Eleni
1 year ago
I'm not sure about statement 3, but I think statement 4 is definitely true.
KA
Kaitlyn
1 year ago
I think statement 1 is true too, it's about how peaked the data is.
CO
Corrinne
1 year ago
I agree, statement 2 and 4 seem correct to me as well.
TI
Tiera
1 year ago
Statement 2 is definitely true, but I'm not sure about the others. Skewness is all about the asymmetry of the data distribution, so that one is a no-brainer.
VA
Van
1 year ago
I agree, statement 2 is definitely true. Skewness is all about the asymmetry of the data.
SO
Solange
1 year ago
I think statement 2 is correct. Skewness does measure the asymmetry of the data distribution.
ME
Merilyn
2 years ago
I believe statement 3 is also true, so the answer should be C.
NI
Nieves
2 years ago
I agree with you, skewness does measure asymmetry.
RA
Rasheeda
2 years ago
I think statement 1 and 2 are true.