A student's marks and their respective weight in five subjects are given below:
Subject Mark Weight
Finance 74 5
Statistics 82 4
Accounting 79 3
Marketing 76 2
English 76 1
What is the weighted arithmetic mean mark for all five subjects?
To calculate the weighted arithmetic mean mark, we need to multiply each mark by its respective weight, sum up the results, and divide by the total weight.
Weighted arithmetic mean = (Finance mark * Finance weight + Statistics mark * Statistics weight + Accounting mark * Accounting weight + Marketing mark * Marketing weight + English mark * English weight) / (Finance weight + Statistics weight + Accounting weight + Marketing weight + English weight)
Plugging in the values:
Weighted arithmetic mean = (74*5 + 82*4 + 79*3 + 76*2 + 76*1) / (5 + 4 + 3 + 2 + 1)
= (370 + 328 + 237 + 152 + 76) / 15
= 1163 / 15
= 77.53
Therefore, the weighted arithmetic mean mark for all five subjects is 77.53.