Question 6

The mean of the data set is 20.

To compute the mean, one must sum all the values in the data set and then divide that sum by the total number of values. In this case, the calculated mean of the data set is 20.

A) 17

Option A is incorrect because a mean of 17 would suggest that the sum of the values divided by the number of values is less than what the actual calculations yield. This option does not align with the computed mean from the dataset.

B) 20

Option B is correct as it accurately reflects the mean obtained from the data set. The computations indicate that when the total sum is divided by the number of entries, the result is indeed 20.

C) 24

Option C is incorrect because a mean of 24 implies a higher total sum than what has been calculated based on the given data. This value does not correspond with the actual mean derived from the data set.

D) 25

Option D is incorrect as well, as a mean of 25 suggests an even greater total sum than that required to achieve this mean. The calculations demonstrate that this value does not match the mean derived from the data set.

Conclusion

The correct answer is 20, as it accurately represents the calculated mean from the data set. Options A, C, and D fail to meet the criteria established by the calculation of the mean, making them incorrect. This highlights the importance of precise arithmetic in determining statistical measures.