How are you in agreement or opposition with your colleague’s choice of measure for central tendency? How is the data dispersed? For instance, are the pulse-rates spread out evenly between the minimum and maximum pulse-rates? In your opinion, is range or standard deviation more useful to describe variability? Why? What insights did you acquire from this post?
Please answer the 4 questions above in response to the answers below please!!!!!!
- How are you in agreement or opposition with your colleague’s choice of measure for
central tendency ? - How is the data dispersed? For instance, are the pulse-rates spread out evenly between the minimum and maximum pulse-rates?
- In your opinion, is range or standard deviation more useful to describe variability? Why?
- What insights did you acquire from this post?
Please answer the 4 questions above in response to the answers below please!!!!!
For sample A measures of central tendency:
Mean: 66+69+72+72+73+75+78+79+82+84=75
10
Median: 73+75=74
2
Mode = 72
For sample B measures of central tendency
Mean: 65+66+68+71+72+81+88+88+91+94=78.4
10
Median: 72+81=76.5
2
Mode = 88
For sample A measures of variability
Standard Deviation s: s=N−1Σ(x−x)2= 294= 5.72
10−1
Range r: r=HV−LW=84−66= 18
For sample B measures of variability
Standard Deviation s: s=N−1Σ(x−x)2= 1130.4= 11.21
10−1
Range r: r=HV−LW=94−65= 29
Respond to the following prompts in your initial post:
- What is the mean, median, and mode for Sample A and Sample B?
For Sample A
mean is 75, median is 74, mode is 72
For Sample B
mean is 78.4, median is 76.5, mode is 88
2.Which might be the better measure for central tendency and why? When answering this question, think about which measure will give you the best representative score of the data.
median will be the better measure of central tendency because sample A and B is not equal so the data would be skewed.
3.What is the standard deviation of Sample A and Sample B?
Standard deviation for sample A is 5.72, and sample B is 11.21
4.How variable are the data? When answering this question, compare the range of Sample A and Sample B.
sample A is more variable than sample B because the range of sample B is higher than sample A.
5. Suppose you know your pulse-rate is 74 beats per minute. Would this seem to be slower or faster than the two samples? Explain your reasoning.
it will be equal to median of sample A and it will be less than the median, it can be deduced from the measures of central of tendency obtained for the two samples that. So, Sample A is normal and not too fast while sample B is faster
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