One morning Emily recorded the time that it took to read each of her e-mail messages. The times, in seconds, were 32,

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One morning Emily recorded the time that it took to read each of her e-mail messages. The times, in seconds, were 32, 18, 20, 29, and 21. How many seconds greater was the average (arithmetic mean) time than the median time?

A. 1
B. 1.5
C. 2.2
D. 2.5
E. 3



OA E

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BTGmoderatorDC wrote:
Mon Feb 01, 2021 4:41 pm
One morning Emily recorded the time that it took to read each of her e-mail messages. The times, in seconds, were 32, 18, 20, 29, and 21. How many seconds greater was the average (arithmetic mean) time than the median time?

A. 1
B. 1.5
C. 2.2
D. 2.5
E. 3



OA E

Source: GMAT Prep
List is \(18, 20, 21, 29, 32\)

So, Median \(=21\)

Now, the average (arithmetic mean) is

\(\dfrac{18+20+21+29+32}{5} = 24\)

Therefore, the difference between the Median and the average (arithmetic mean) is

\(24 - 21 = 3. \Longrightarrow\) E

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BTGmoderatorDC wrote:
Mon Feb 01, 2021 4:41 pm
One morning Emily recorded the time that it took to read each of her e-mail messages. The times, in seconds, were 32, 18, 20, 29, and 21. How many seconds greater was the average (arithmetic mean) time than the median time?

A. 1
B. 1.5
C. 2.2
D. 2.5
E. 3



OA E

Solution:

The average is:

(32 +18 + 20 + 29 + 21)/5 = 120/5 = 24

The 5 values in order are: 18, 20, 21, 29, 32. Thus, the median is 21.

Therefore, the average is 24 - 21 = 3 seconds more than the median.

Answer: E

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