Carlos is using the distributive property to evaluate the expression 14 (49) by using friendlier numbers. His work is shown belo
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Answer:
If we compare this value with the 47.3 proposed we have the following error
The computed mean is close to the actual mean because the difference between the means is less than 5%.
Step-by-step explanation:
Assuming the following dataset:
Speed 42-45 46-49 50-53 54-57 58-61
Freq. 21 15 6 4 2
And we are interested in find the mean, since we have grouped data the formula for the mean is given by:
And is useful construct a table like this one:
Speed Freq Midpoint Freq*Midpoint
42-45 21 43.5 913.5
46-49 15 47.5 712.5
50-53 6 51.5 309
54-57 4 55.5 222
58-61 2 59.5 119
Total 48 2276
And the mean is given by:
If we compare this value with the 47.3 proposed we have the following error
The computed mean is close to the actual mean because the difference between the means is less than 5%.