The value of $X$ which is exceeded $50 %$ of the time in the duration of measurement

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Measurements of some variable X were made at an interval of $ 1 $ minute from $10 text A.M. to 10:20 text A.M. $. The data, thus, obtained is as follows:



$ X : 60, 62, 65, 64, 63, 61, 66, 65, 70, 68, 63, 62, 64, 69, 65, 64, 66, 67, 66, 64 ,50.$



The value of $X$ which is exceeded $50 %$ of the time in the duration of measurement, is



$(i) 69 \ (ii) 68 \ (iii) 67 \ (iv) 66 $



Answer:



It is a multiple choice question and it is general knowledge question.



The answer is $ 68 $.



But I am unable to understand the question. What exactly says the question?



Help me










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  • I don't understand it either. The value $68$ is only exceeded twice (by the values $69$ and $70$,) which is $10%$ not $50%.$ Are you certain all these numbers are correct? -- Oops it's $2/21$ not $2/20$ so a bit less than $10%$.
    – saulspatz
    Sep 2 at 6:49















up vote
0
down vote

favorite
1












Measurements of some variable X were made at an interval of $ 1 $ minute from $10 text A.M. to 10:20 text A.M. $. The data, thus, obtained is as follows:



$ X : 60, 62, 65, 64, 63, 61, 66, 65, 70, 68, 63, 62, 64, 69, 65, 64, 66, 67, 66, 64 ,50.$



The value of $X$ which is exceeded $50 %$ of the time in the duration of measurement, is



$(i) 69 \ (ii) 68 \ (iii) 67 \ (iv) 66 $



Answer:



It is a multiple choice question and it is general knowledge question.



The answer is $ 68 $.



But I am unable to understand the question. What exactly says the question?



Help me










share|cite|improve this question





















  • I don't understand it either. The value $68$ is only exceeded twice (by the values $69$ and $70$,) which is $10%$ not $50%.$ Are you certain all these numbers are correct? -- Oops it's $2/21$ not $2/20$ so a bit less than $10%$.
    – saulspatz
    Sep 2 at 6:49













up vote
0
down vote

favorite
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up vote
0
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Measurements of some variable X were made at an interval of $ 1 $ minute from $10 text A.M. to 10:20 text A.M. $. The data, thus, obtained is as follows:



$ X : 60, 62, 65, 64, 63, 61, 66, 65, 70, 68, 63, 62, 64, 69, 65, 64, 66, 67, 66, 64 ,50.$



The value of $X$ which is exceeded $50 %$ of the time in the duration of measurement, is



$(i) 69 \ (ii) 68 \ (iii) 67 \ (iv) 66 $



Answer:



It is a multiple choice question and it is general knowledge question.



The answer is $ 68 $.



But I am unable to understand the question. What exactly says the question?



Help me










share|cite|improve this question













Measurements of some variable X were made at an interval of $ 1 $ minute from $10 text A.M. to 10:20 text A.M. $. The data, thus, obtained is as follows:



$ X : 60, 62, 65, 64, 63, 61, 66, 65, 70, 68, 63, 62, 64, 69, 65, 64, 66, 67, 66, 64 ,50.$



The value of $X$ which is exceeded $50 %$ of the time in the duration of measurement, is



$(i) 69 \ (ii) 68 \ (iii) 67 \ (iv) 66 $



Answer:



It is a multiple choice question and it is general knowledge question.



The answer is $ 68 $.



But I am unable to understand the question. What exactly says the question?



Help me







arithmetic






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asked Sep 2 at 6:33









yourmath

1,8231617




1,8231617











  • I don't understand it either. The value $68$ is only exceeded twice (by the values $69$ and $70$,) which is $10%$ not $50%.$ Are you certain all these numbers are correct? -- Oops it's $2/21$ not $2/20$ so a bit less than $10%$.
    – saulspatz
    Sep 2 at 6:49

















  • I don't understand it either. The value $68$ is only exceeded twice (by the values $69$ and $70$,) which is $10%$ not $50%.$ Are you certain all these numbers are correct? -- Oops it's $2/21$ not $2/20$ so a bit less than $10%$.
    – saulspatz
    Sep 2 at 6:49
















I don't understand it either. The value $68$ is only exceeded twice (by the values $69$ and $70$,) which is $10%$ not $50%.$ Are you certain all these numbers are correct? -- Oops it's $2/21$ not $2/20$ so a bit less than $10%$.
– saulspatz
Sep 2 at 6:49





I don't understand it either. The value $68$ is only exceeded twice (by the values $69$ and $70$,) which is $10%$ not $50%.$ Are you certain all these numbers are correct? -- Oops it's $2/21$ not $2/20$ so a bit less than $10%$.
– saulspatz
Sep 2 at 6:49











2 Answers
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With the given data, $$X : 60, 62, 65, 64, 63, 61, 66, 65, 70, 68, 63, 62, 64, 69, 65, 64, 66, 67, 66, 64 ,50$$



$68$ is the data collected at 10:10 which is the middle of time interval $10:00 $ to $10:20$



That is the only interpretation which makes the answer $68$ otherwise, $68$ is not the median of your data at all.






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  • To add to this: The median (which the question somehow seems to try to ask for) would be 64, which is not even among the available choices.
    – Hagen von Eitzen
    Sep 2 at 7:54

















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1
down vote













Isn't the question maybe written badly? I could think the author meant:




The value of X at which 50% of the time in the duration of measurement is exceeded




Clearly if this is an exam question, I would definitely consider the question as void, as it is unclear.






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    2 Answers
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    active

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    2 Answers
    2






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    up vote
    1
    down vote



    accepted










    With the given data, $$X : 60, 62, 65, 64, 63, 61, 66, 65, 70, 68, 63, 62, 64, 69, 65, 64, 66, 67, 66, 64 ,50$$



    $68$ is the data collected at 10:10 which is the middle of time interval $10:00 $ to $10:20$



    That is the only interpretation which makes the answer $68$ otherwise, $68$ is not the median of your data at all.






    share|cite|improve this answer




















    • To add to this: The median (which the question somehow seems to try to ask for) would be 64, which is not even among the available choices.
      – Hagen von Eitzen
      Sep 2 at 7:54














    up vote
    1
    down vote



    accepted










    With the given data, $$X : 60, 62, 65, 64, 63, 61, 66, 65, 70, 68, 63, 62, 64, 69, 65, 64, 66, 67, 66, 64 ,50$$



    $68$ is the data collected at 10:10 which is the middle of time interval $10:00 $ to $10:20$



    That is the only interpretation which makes the answer $68$ otherwise, $68$ is not the median of your data at all.






    share|cite|improve this answer




















    • To add to this: The median (which the question somehow seems to try to ask for) would be 64, which is not even among the available choices.
      – Hagen von Eitzen
      Sep 2 at 7:54












    up vote
    1
    down vote



    accepted







    up vote
    1
    down vote



    accepted






    With the given data, $$X : 60, 62, 65, 64, 63, 61, 66, 65, 70, 68, 63, 62, 64, 69, 65, 64, 66, 67, 66, 64 ,50$$



    $68$ is the data collected at 10:10 which is the middle of time interval $10:00 $ to $10:20$



    That is the only interpretation which makes the answer $68$ otherwise, $68$ is not the median of your data at all.






    share|cite|improve this answer












    With the given data, $$X : 60, 62, 65, 64, 63, 61, 66, 65, 70, 68, 63, 62, 64, 69, 65, 64, 66, 67, 66, 64 ,50$$



    $68$ is the data collected at 10:10 which is the middle of time interval $10:00 $ to $10:20$



    That is the only interpretation which makes the answer $68$ otherwise, $68$ is not the median of your data at all.







    share|cite|improve this answer












    share|cite|improve this answer



    share|cite|improve this answer










    answered Sep 2 at 6:58









    Mohammad Riazi-Kermani

    31.3k41853




    31.3k41853











    • To add to this: The median (which the question somehow seems to try to ask for) would be 64, which is not even among the available choices.
      – Hagen von Eitzen
      Sep 2 at 7:54
















    • To add to this: The median (which the question somehow seems to try to ask for) would be 64, which is not even among the available choices.
      – Hagen von Eitzen
      Sep 2 at 7:54















    To add to this: The median (which the question somehow seems to try to ask for) would be 64, which is not even among the available choices.
    – Hagen von Eitzen
    Sep 2 at 7:54




    To add to this: The median (which the question somehow seems to try to ask for) would be 64, which is not even among the available choices.
    – Hagen von Eitzen
    Sep 2 at 7:54










    up vote
    1
    down vote













    Isn't the question maybe written badly? I could think the author meant:




    The value of X at which 50% of the time in the duration of measurement is exceeded




    Clearly if this is an exam question, I would definitely consider the question as void, as it is unclear.






    share|cite|improve this answer


























      up vote
      1
      down vote













      Isn't the question maybe written badly? I could think the author meant:




      The value of X at which 50% of the time in the duration of measurement is exceeded




      Clearly if this is an exam question, I would definitely consider the question as void, as it is unclear.






      share|cite|improve this answer
























        up vote
        1
        down vote










        up vote
        1
        down vote









        Isn't the question maybe written badly? I could think the author meant:




        The value of X at which 50% of the time in the duration of measurement is exceeded




        Clearly if this is an exam question, I would definitely consider the question as void, as it is unclear.






        share|cite|improve this answer














        Isn't the question maybe written badly? I could think the author meant:




        The value of X at which 50% of the time in the duration of measurement is exceeded




        Clearly if this is an exam question, I would definitely consider the question as void, as it is unclear.







        share|cite|improve this answer














        share|cite|improve this answer



        share|cite|improve this answer








        answered Sep 2 at 6:59


























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