A shoe shop keeps a record of the no. of pairs of shoes sold daily. The record of actual sales for a week (Monday to sunday) was lost. The manager could only get the following table which showed how much the sale had increased or decreased over the previous +1 ,+1 ,+2 ,-11 ,+7 ,-7 , 0 .If "a" Is the mean of daily sale for the week and "b" Is the mode of daily sale for the week the what is the value of a-b
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value of a-b = 5
Step-by-step explanation:
Previous Day Sale = X
Day 1 Sale = X + 1
Day 2 Sale = X + 2
Day 3 Sale = X + 4
Day 4 Sale = X - 7
Day 5 Sale = X
Day 6 Sale = X - 7
Day 7 Sale = X - 7
X - 7 is the Mode ( as it comes 3 times)
=> X - 7 = b
Total Sales = X + 1 + X + 2 + X + 4 + X - 7 + X + X -7 + X - 7
= 7X - 14
Mean Sale = (7X - 14)/7 = X - 2
X - 2 = a
a - b = (X - 2) - (X - 7)
=> a - b = 5
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