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Chapter 1: Q23. (page 53)

Compare the quantity in Column A and the quantity in Column B. Then determine whether:

A. the quantity in Column A is greater;

B. the quantity in Column B is greater;

C. the two quantities are equal;

D. the relationship cannot be determined from the information given.

23.

The average (arithmetic mean) of s and t is greater than the average of s and w

Column A Column B

w t

Short Answer

Expert verified

The quantity in Colum B is greater than the quantity in Column A. So,the correct option isB.

Step by step solution

01

- Consider the two quantities.

The average (arithmetic mean) of s and t is greater than the average of s and w.

The quantity in column A is:

w

The quantity in column B is:

t

02

- Evaluate the two quantities.

Average is defined as sum of the observations divide by the number of observation.

The average of sand tis s+t2.

And the average of s and w is s+w2.

Now, since s+t2>s+w2, then,

s+t2>s+w2s+t2脳2>s+w2脳2s+t>s+ws+t鈭�s>s+w鈭�st>w

Thus, t>wthat is quantity in column B is greater than quantity in column A.

03

- State the conclusion.

The quantity in column B is greater than quantity in column A. Therefore, option B is correct.

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