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Answer :
The weighted mean of the data set is 229 when rounded to the nearest whole number.
To calculate the weighted mean of the data set, follow these steps:
Count the frequency of each value:
150 appears 14 times
200 appears 8 times
190 appears 4 times
360 appears 8 times
400 appears 7 times
Calculate the total sum of all values:
Sum = (150 * 14) + (200 * 8) + (190 * 4) + (360 * 8) + (400 * 7)
Sum = 2100 + 1600 + 760 + 2880 + 2800
Sum = 9390
Calculate the total number of values:
Total number of values = 14 + 8 + 4 + 8 + 7
Total = 41
Calculate the weighted mean:
Weighted Mean = Total Sum / Total Number of Values
Weighted Mean = 9390 / 41
Weighted Mean ≈ 229.02
Rounded Weighted Mean = 229
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