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

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

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New post 03 Jan 2019, 12:43
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

86% (01:52) correct 14% (01:40) wrong based on 25 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
Capture.PNG [ 48.81 KiB | Viewed 356 times ]

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

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New post Updated on: 04 Jan 2019, 03:51

Solution


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

To find:
    • The average temperature reading

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

Answer: B

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Originally posted by EgmatQuantExpert on 04 Jan 2019, 03:17.
Last edited by EgmatQuantExpert on 04 Jan 2019, 03:51, 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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New post 04 Jan 2019, 03:26
Bunuel wrote:
Image
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.

Add all the differences together

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   [#permalink] 04 Jan 2019, 03:26
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