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Joined: 07 Jun 2014
Posts: 4805
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
The table above shows the frequency distribution of the valu
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04 Jan 2016, 08:56
04 Jan 2016, 08:56
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#GREpracticequestion The table above shows the frequency distribution.jpg [ 22.99 KiB | Viewed 15795 times ]
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.
Show: :: OA
1.29
Practice Questions
Question: 13
Page: 159
Difficulty: hard
Question: 13
Page: 159
Difficulty: hard
_________________
Sandy
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Retired Moderator
Joined: 07 Jun 2014
Posts: 4805
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Re: frequency distribution of the values of a variable Y
[#permalink]
04 Jan 2016, 15:56
04 Jan 2016, 15:56
1
Expert Reply
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.
_________________
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.
_________________
Sandy
If you found this post useful, please let me know by pressing the Kudos Button
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Re: frequency distribution of the values of a variable Y
[#permalink]
13 Jul 2016, 14:37
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.
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.
Retired Moderator
Joined: 07 Jun 2014
Posts: 4805
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Re: frequency distribution of the values of a variable Y
[#permalink]
13 Jul 2016, 17:45
13 Jul 2016, 17:45
Expert Reply
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
Thanks and Regards,
_________________
Sandy
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Re: frequency distribution of the values of a variable Y
[#permalink]
24 May 2019, 16:20
24 May 2019, 16:20
2
Expert Reply
sandy wrote:
| Y | Frequency |
| \(\frac{1}{2}\) | 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.
Show: :: OA
1.29
Practice Questions
Question: 13
Page: 159
Difficulty: hard
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
_________________
Re: The table above shows the frequency distribution of the valu
[#permalink]
19 Mar 2021, 07:04
19 Mar 2021, 07:04
Expert Reply
Bump
Re: The table above shows the frequency distribution of the valu
[#permalink]
24 Mar 2021, 04:38
24 Mar 2021, 04:38
I always get confused while calculating the mean and median of a given frequency distribution table. Any good article to go through this concept?
Re: The table above shows the frequency distribution of the valu
[#permalink]
01 Jun 2022, 08:46
01 Jun 2022, 08:46
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