There are 12 cell phone charging cords available at a store for purchase. The length of each charging cord in inches is reflected as 3, 3, 4, 6, 6, 6, 6, 7, 10, 10, 11, and 12, respectively. What are the mean of these data?

Rationale

The mean length of the cell phone charging cords is 7 inches.

To find the mean, one must first calculate the total sum of the lengths of the cords and then divide that sum by the total number of cords. In this case, the total length is 84 inches, divided by 12 cords, results in a mean of 7 inches.

A (8) YOUR ANSWER

Choosing 8 as the mean suggests an incorrect calculation of the total lengths. The total of the cord lengths is 84; dividing this by 12 results in 7, not 8. This indicates a misunderstanding of averaging methods or miscalculation of sum and count.

B (6) YOUR ANSWER

Opting for 6 as the mean implies that the total length was underestimated or the number of cords was miscounted. Since the total length of the cords is 84 inches, a mean of 6 would suggest a total length of only 72 inches, which does not align with the provided data.

C (7) CORRECT

The choice of 7 correctly identifies the average length of the charging cords. The calculation involves summing the lengths (84 inches) and dividing by the number of cords (12), yielding a mean of 7 inches, which accurately reflects the data set.

D (9) YOUR ANSWER

Selecting 9 as the mean suggests an overestimation of the total length or a miscalculation of the average. The total necessary for a mean of 9 would be 108 inches when accounting for 12 cords, which is incorrect given the actual total of 84 inches.

Conclusion

The mean length of the cell phone charging cords is determined by dividing the total sum of the lengths by the quantity of cords. In this case, the correct mean of 7 inches accurately represents the average of the given lengths. Misunderstandings around summation or the calculation process led to the incorrect responses for options A, B, and D, emphasizing the importance of precise calculation in statistical analysis.

There are 12 cell phone charging cords available at a store for purchase. The length of each charging cord in inches is reflected as 3, 3, 4, 6, 6, 6, 6, 7, 10, 10, 11, and 12, respectively. What are the mean of these data?

The mean length of the cell phone charging cords is 7 inches.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test