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The table above shows the frequency distribution of the valu

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Joined: 07 Jun 2014
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WE: Business Development (Energy and Utilities)
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The table above shows the frequency distribution of the valu [#permalink] New post 04 Jan 2016, 08:56
Expert's post
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Question Stats:

81% (01:47) correct 18% (01:40) wrong based on 16 sessions
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The table above shows the frequency distribution of the values of a variable Y. What is the mean of the distribution?

Give your answer to the nearest 0.01.


[Reveal] Spoiler: OA
1.29


Practice Questions
Question: 13
Page: 159
Difficulty: hard

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GRE Prep Club Legend
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Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 123

Kudos [?]: 1971 [0], given: 397

Re: frequency distribution of the values of a variable Y [#permalink] New post 04 Jan 2016, 15:56
Expert's post
Now we have here is a frequency distribution table. There is no short cut so we sum the values i.e.

Sum = Y * frequency = \(\frac{1}{2}*2 +\frac{3}{4}*7 + \frac{5}{4}*8 + \frac{6}{4}*8 + \frac{7}{4}*9\) =44


Number of terms = sum of all the frequency = 34


Mean = 44/34 = 1.29.
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Re: frequency distribution of the values of a variable Y [#permalink] New post 13 Jul 2016, 14:37
sandy wrote:
Now we have here is a frequency distribution table. There is no short cut so we sum the values i.e.

Sum = Y * frequency = \(\frac{1}{2}*2 +\frac{3}{4}*7 + \frac{5}{4}*8 +\frac{3}{2}*8 + \frac{5}{4}*8 + \frac{7}{4}*9\) =44


Number of terms = sum of all the frequency = 34


Mean = 44/34 = 1.29.



You have an extra term in the sum. Only one 5/4*8.
GRE Prep Club Legend
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Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1971 [0], given: 397

Re: frequency distribution of the values of a variable Y [#permalink] New post 13 Jul 2016, 17:45
Expert's post
jl15769n wrote:


You have an extra term in the sum. Only one 5/4*8.



It was supposed to be \(\frac{6}{4}\), it was a type. Fixed it


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Re: frequency distribution of the values of a variable Y [#permalink] New post 24 May 2019, 16:20
Expert's post
sandy wrote:






YFrequency
\(\frac{1}{2}\)2
\(\frac{3}{4}\)7
\(\frac{5}{4}\)8
\(\frac{3}{2}\)8
\(\frac{7}{4}\)9



The table above shows the frequency distribution of the values of a variable Y. What is the mean of the distribution?

Give your answer to the nearest 0.01.


[Reveal] Spoiler: OA
1.29


Practice Questions
Question: 13
Page: 159
Difficulty: hard


The table tells us that the distribution contains TWO 1/2's, SEVEN 3/4's, EIGHT 5/4's etc

To find mean, we must first find the sum of all of the values in the distribution.

SUM = (2)(1/2) + (7)(3/4) + (8)(5/4) + (8)(3/2) + (9)(7/4)
= 1 + 21/4 + 10 + 12 + 63/4
= 23 + 21/4 + 63/4
= 23 + 84/4
= 23 + 21
= 44

The NUMBER of values in the distribution = 2 + 7 + 8 + 8 + 9
= 34

So, the mean = 44/34 = 1.294....

Answer: 1.29

Cheers,
Brent
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Re: frequency distribution of the values of a variable Y   [#permalink] 24 May 2019, 16:20
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