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29 Apr 2023, 12:07
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Hello there,
If I have three sets (A, B, C) with equal number of elements, can I make a conclusion that the set with the highest range has the highest standard deviation? If not, can you please provide examples?
Thanks a lot.
If I have three sets (A, B, C) with equal number of elements, can I make a conclusion that the set with the highest range has the highest standard deviation? If not, can you please provide examples?
Thanks a lot.
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29 Apr 2023, 12:43
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georgecambridge
No, we cannot make such an inference based on the range of two sets.
For example -
Case 1
A = {7,10,11,12,15,15,15}
- SD = 2.84
- Range= 8
- Count of elements = 7
Case 2
A = {9,9,9,9,15,15,15}
- SD = 2.96
- Range= 6
- Count of elements = 7
29 Apr 2023, 13:26
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Hey, thanks for your answer. What is the best strategy to solve this question under 2 minutes?
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