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

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

Answer 1

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.

Answer 2

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.