A school play takes place each day from Monday to Friday.Here are the attendances on four of the days.Monday Tuesday Wednesday Thursday72 83 88 97For all five days, the mean attendance is 90Work out the attendance on Friday.[3 marks]Answer
Question
A school play takes place each day from Monday to Friday.Here are the attendances on four of the days.Monday Tuesday Wednesday Thursday72 83 88 97For all five days, the mean attendance is 90Work out the attendance on Friday.[3 marks]Answer
Solution
To find the attendance on Friday, we first need to find the total attendance for all five days. We do this by multiplying the mean attendance by the number of days.
Mean attendance = 90 Number of days = 5
Total attendance for all five days = Mean attendance * Number of days = 90 * 5 = 450
Next, we need to find the total attendance from Monday to Thursday. We do this by adding the attendances together.
Monday = 72 Tuesday = 83 Wednesday = 88 Thursday = 97
Total attendance from Monday to Thursday = 72 + 83 + 88 + 97 = 340
Finally, we subtract the total attendance from Monday to Thursday from the total attendance for all five days to find the attendance on Friday.
Attendance on Friday = Total attendance for all five days - Total attendance from Monday to Thursday = 450 - 340 = 110
So, the attendance on Friday was 110.
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