I just need help with which pen would be better? Pen A or Pen B? The calculation

Question

I just need help with which pen would be better? Pen A or Pen B? The calculations from each pen are shown below.

Pen A:

Mean -451.68; mode- 456; median- 452; standard deviation- 9.49

Pen B:

Mean- 453.24; median- 467; mode- 482 and 498; standard deviation- 42.42.

You have a herd of cattle and typically sell the calves as yearlings. Your profit is better when you can sell heavier calves. You are looking at buying a pen of replacement females. The groups of cattle you are looking at are fairly young and are uniform groups. You have to decide between Pen A and Pen B. Both pens have 25 cattle and data is available on the weaning weights of their calves. Calculate the mean weaning weight of the calves from the cows in Pen A and Pen B. Also find the median and mode, and calculate the standard deviation for each pen. Make a management decision about which pen of females you would buy based upon the results of your calculations. Be sure to state why you would buy that particular pen of animals.

Explanation / Answer

Question asked:

Which pen would be better: Pen A or Pen B.

Answer:

Pen B

REASON:

Given:

Your profit is better when you can sell heavier calves.

Here, we note that all the 3 avearges are more for Pen B as compared to Pen A.

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