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# The bar graph below displays the number of temperature readings at eac

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Math Expert
Joined: 02 Sep 2009
Posts: 52294
The bar graph below displays the number of temperature readings at eac  [#permalink]

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03 Jan 2019, 11:43
00:00

Difficulty:

25% (medium)

Question Stats:

76% (01:42) correct 24% (01:03) wrong based on 17 sessions

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The bar graph below displays the number of temperature readings at each value from a sample, measured in degrees Fahrenheit. What was the average (arithmetic mean) temperature reading?

A. 111 degrees Fahrenheit
B. 112 degrees Fahrenheit
C. 113 degrees Fahrenheit
D. 114 degrees Fahrenheit
E. 115 degrees Fahrenheit

Attachment:

Capture.PNG [ 48.81 KiB | Viewed 218 times ]

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The bar graph below displays the number of temperature readings at eac  [#permalink]

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Updated on: 04 Jan 2019, 02:51

Solution

Given:
• A bar graph, which displays the number of temperature readings at each value

To find:

Approach and Working:
• Average reading = $$\frac{110(4) + 111(3) + 112(4) + 113(1) + 114(2) + 115(2)]}{(4 + 3 + 4 + 1 + 2 + 2)} = \frac{[110(4 + 3 + 4 + 1 + 2 + 2) + (3 + 8 + 3 + 8 + 10)]}{16} = \frac{[110(16) + 32]}{16} = 110 + 2 = 112$$

Hence, the correct answer is Option B

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Originally posted by EgmatQuantExpert on 04 Jan 2019, 02:17.
Last edited by EgmatQuantExpert on 04 Jan 2019, 02:51, edited 1 time in total.
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Re: The bar graph below displays the number of temperature readings at eac  [#permalink]

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04 Jan 2019, 02:26
Bunuel wrote:

The bar graph below displays the number of temperature readings at each value from a sample, measured in degrees Fahrenheit. What was the average (arithmetic mean) temperature reading?

A. 111 degrees Fahrenheit
B. 112 degrees Fahrenheit
C. 113 degrees Fahrenheit
D. 114 degrees Fahrenheit
E. 115 degrees Fahrenheit

Attachment:
Capture.PNG

Another way to do it is, assume 110 as the average.

i.e. (110-110)*4 + (111-110)*3 + (112-110)*4 + (113-110)*1 + (114-110)*2 + (115-110)*2 = 0 + 3 + 8 + 3 + 8 + 10 = 32

Total number of readings = 16

Average increase = 32/16 = 2

Hence average = 110 + 2 = 112

Hence the correct answer is B.
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Re: The bar graph below displays the number of temperature readings at eac &nbs [#permalink] 04 Jan 2019, 02:26
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