Answer :
Final answer:
The range of the data set is 25 and the standard deviation is approximately 8.53.
Explanation:
The range of a data set is the difference between the largest and smallest values in the set. To find the range of the data set 141, 116, 117, 135, 126, 121, we subtract the smallest value (116) from the largest value (141). Therefore, the range is 141 - 116 = 25.
The standard deviation measures how spread out the data is from the mean. To calculate the standard deviation, we first find the mean of the data set. Then, we subtract the mean from each data point, square the result, and find the average of all the squared differences. Finally, we take the square root of the average. Using this method, the standard deviation of the data set 141, 116, 117, 135, 126, 121 is approximately 8.53 (rounded to the nearest hundredth).
