Answer :
Final answer:
When each data value in a set is reduced to 80% of its original value, the mean of the new data set will also be 80% of the original mean. The exact new mean value can't be determined without knowing the original mean.
Explanation:
The subject of this question is statistics, which falls under the area of Mathematics. The scenario is asking about the effect of changes in the individual data points of a data set on the mean of that data set.
When each data value in a set is reduced to 80% of its original value, the mean of the new data set will also be 80% of the original mean. This is because the mean is computed by adding up all the values and dividing by the number of values. If each value is reduced by a certain percentage, the total sum of the data values is also reduced by that same percentage, hence the average (or mean) is reduced by that percentage.
Therefore, without knowing the exact original mean, we can't determine a specific answer from the options a. 36 b. 38.4 c. 40.5 d. 43.2 presented in the question. However, the principle holds that the mean of the new data set will be 80% of the original mean.
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