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19 August, 17:42

The table shows the time 50 students spent on their homework.

time (t) in minuets frequency

0 ≤ t < 30 / 7

30 ≤ t < 60 / 27

60 ≤ t < 90 / 12

90 ≤ t < 120 / 4

work out an estimate for the mean time the students spent on their home work.

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  1. 19 August, 17:57
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    Answer: Mean = 52.8 mins

    Step-by-step explanation:

    We have lapses of 30 minutes, so we can write the average for each, this means that:

    0 < t < 30 can be averaged to the middle of the range: 15 min.

    Doing this, we have that:

    7 students 15 min

    27 students 45 min

    12 students 75 min

    4 students 105 min.

    Now we can calculate the mean:

    mean = (x1*n1 + x2*n2 + ...) / N

    where x1 is the amount of time 1, and n1 is the number of students associated to that time and so on. N is the total number of students

    Mean = (7*15min + 27*45min + 12*75min + 4*105min) / (7 + 27 + 12 + 4)

    Mean = 52.8 mins
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