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Ten students wrote a test, and the distribution of scores is shown on 31 Mar 2015, 05:38
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Ten students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of x ?
Attachment:
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A. 62
B. 65
C. 71
D. 76
E. 83


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B
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Ten students wrote a test, and the distribution of scores is shown on 31 Mar 2015, 05:57
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Bunuel
Ten students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of x ?
Attachment:
testresults_figure.PNG

A. 62
B. 65
C. 71
D. 76
E. 83


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40(1)+55(2)+70(3)+4x=620
4x=260
x=65

Answer : B
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Ten students wrote a test, and the distribution of scores is shown on 31 Mar 2015, 11:38
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Bunuel
Ten students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of x ?
Attachment:
testresults_figure.PNG

A. 62
B. 65
C. 71
D. 76
E. 83


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Average is 62.
So, [(40*1)+ (55*2) + (70*3) + (x*4)]/(1+2+3+4) = 62
So, 360+4x = 620
So, x = 65

Hence option (B).

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Ten students wrote a test, and the distribution of scores is shown on 31 Mar 2015, 12:02
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Bunuel
Ten students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of x ?
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A. 62
B. 65
C. 71
D. 76
E. 83


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Answer B
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Ten students wrote a test, and the distribution of scores is shown on 31 Mar 2015, 18:49
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Answer = B = 65

Equation setup would be as follows:

\(\frac{40*1 + 55*2 + 70*3 + x*4}{1+2+3+4} = 62\)

x = 65
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Ten students wrote a test, and the distribution of scores is shown on 31 Mar 2015, 19:28
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We're given all the info we need to isolate x

(40*1 + 55*2 + 70*3 + 4x)/10 + 620

360+4x = 620

4x = 260

x = 65

Answer choice B
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Ten students wrote a test, and the distribution of scores is shown on 31 Mar 2015, 22:27
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Lucky2783
Bunuel
Ten students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of x ?
Attachment:
testresults_figure.PNG

A. 62
B. 65
C. 71
D. 76
E. 83


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Answer B
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Lucky2783 Can you explain how you made your calculation. I believe that the method you have used is new to me.
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Ten students wrote a test, and the distribution of scores is shown on 01 Apr 2015, 00:44
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Total is 10*62 = 620

1*40 = 40
2*55 = 110
3*70 = 210
4*x= 4x

620 - 210 - 110 - 40 - 4x = 0
260 - 4x = 0
260 = 4x
x = 65
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Ten students wrote a test, and the distribution of scores is shown on 01 Apr 2015, 05:27
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Lucky2783
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Ten students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of x ?
Attachment:
testresults_figure.PNG

A. 62
B. 65
C. 71
D. 76
E. 83


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Answer B
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Hi Lucky,

can you please explain ?
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Ten students wrote a test, and the distribution of scores is shown on 02 Apr 2015, 02:59
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Lucky2783
Bunuel
Ten students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of x ?
Attachment:
testresults_figure.PNG

A. 62
B. 65
C. 71
D. 76
E. 83


Kudos for a correct solution.


Answer B

Lucky2783 Can you explain how you made your calculation. I believe that the method you have used is new to me.
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i am just calculating cumulative deviation , which means at each level how much is deviation we have
eg: as mean is 62
40 1 (how many units 40 is away from 62 ? -22, so -22*1 )
55 2 (how many units 55 is away from 62 ? -7, so -7*2) [add -22+ -14 = -36]
70 3 (how many units 70 is away from 62 ? 8, so 8*3) [add -22+ -14 + 24 = -12]
x 4 [so we have a total of -12 so far from above elements and we need to distribute this to 4 elements , that means element should be 62+3=65]

nothing too great about this method , it is just marginally quicker than conventional calculation , 40*1+55*2+70*3+4x = 10*62 .
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Ten students wrote a test, and the distribution of scores is shown on 02 Apr 2015, 03:32
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Lucky2783

i am just calculating cumulative deviation , which means at each level how much is deviation we have
eg: as mean is 62
40 1 (how many units 40 is away from 62 ? -22, so -22*1 )
55 2 (how many units 55 is away from 62 ? -7, so -7*2) [add -22+ -14 = -36]
70 3 (how many units 70 is away from 62 ? 8, so 8*3) [add -22+ -14 + 24 = -12]
x 4 [so we have a total of -12 so far from above elements and we need to distribute this to 4 elements , that means element should be 62+3=65]

nothing too great about this method , it is just marginally quicker than conventional calculation , 40*1+55*2+70*3+4x = 10*62 .
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When I posted my request, I could make out that you had used the deviation method, I couldnt bring out numbers which agreed with the ones you used, from the -12 part in particular. Then I realised that cumulative deviation has to equal 0 and hence 4(x-62)=12 and not 4(x-62)=-12.

Thanks for your insight. Now I am confident of applying this deviation method on a frequency distribution table.
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Ten students wrote a test, and the distribution of scores is shown on 06 Apr 2015, 05:42
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Ten students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of x ?


A. 62
B. 65
C. 71
D. 76
E. 83


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MAGOOSH OFFICIAL SOLUTION:
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Ten students wrote a test, and the distribution of scores is shown on 06 May 2020, 05:21
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Bunuel
Ten students wrote a test, and the distribution of scores is shown on the frequency table. If the average (arithmetic mean) score is 62, what is the value of x ?
Attachment:
testresults_figure.PNG

A. 62
B. 65
C. 71
D. 76
E. 83


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(40 * 1 + 55 * 2 + 70 * 3 + x * 4)/10 = 62

40 + 110 + 210 + 4x = 620

360 + 4 x = 620

4x = 260

x = 65

Answer: B
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Ten students wrote a test, and the distribution of scores is shown on 18 Feb 2024, 21:17
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