Question

Can someone tell me if I'm on the right track analyzing my data? Thank you! Height...

Can someone tell me if I'm on the right track analyzing my data? Thank you!

Height (cm)

Wingspan (cm)

Right Cubit (cm)

Sample Size

24

24

24

Mean

170.60

170.65

45.42

Median

171.05

171.90

45.75

Variance

64.17

63.85

15.06

Standard Dev

8.01

7.99

3.88

Q1

165.78

165.80

41.23

Q3

175.75

175.58

49.33

IQR

9.97

9.77

8.10

Coefficient of Variation

4.70%

4.68%

8.55%

If the standard deviation is low it usually means that most of the numbers are very close to the mean. Since the average for height was roughly 170cm, the standard deviation is saying that most of the height measurements would fall between 162cm and 178cm. There is also a low coefficient of variation for height, at 4.7%. This shows that there is not a lot of deviation around the mean. Since the values are similar to wingspan, this is showing that larger measures such as height and wingspan aren’t actually much more variable than the smaller structures like the right cubit.

The right cubit measurements of a mean of roughly 45, and a standard deviation of 3.88, or roughly 4. This is saying that most of the right cubit measurements would fall between 41 and 49. This is also showing that there is not a lot of deviation around the mean. However, the coefficient of variation is higher here than for the other two measurements. The coefficient of variation is almost 9%, meaning that there could be a bigger variation here if we are comparing all three of these measurements together.

Overall, comparing all three measurements shows that technically height and wingspan are more variable than right cubit, but not by much. The measurements in this sample data were spread out over a greater range for height and wingspan versus right cubit, which leads to the standard deviation being higher.

Homework Answers

Answer #1

Yes if standard deviation will be low data points tend to be close to mean

Coefficient of variation tells about the measurement of precision & CV 4.7% tells about the there height is more precise as compared to the right cubit

in other words we can say that there is less variability between the heights data points

Coefficient of variation 9% means that there is less precision or more variability between data points as compared to remaining two heights and wingspan

For finding the accuracy

After Overall Comparing

height and wingspan are less variable than right cubit

Spreadout of right cubit is more as compared to other two

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