Final answer:
To determine the deviation of each number from the mean, the mean must be calculated and then subtracted from each number in the set. The mean of the given numbers is 59.7, and the deviations are 5.3, 2.3, 1.3, -0.7, -1.7, -7.7, and 0.3, respectively.
Step-by-step explanation:
To find the deviation of the numbers from the mean, you first need to calculate the mean (average) of the set of numbers. You then subtract the mean from each individual number to find the deviation of each number.
Step 1: Calculate the Mean
Add up all the numbers and then divide by the number of numbers.
Mean = (65+62+61+59+58+52+60) / 7 = 59.7 (rounded to one decimal place).
Step 2: Calculate the Deviation for Each Number
Subtract the mean from each number to get the deviation.
Deviation of 65 = 65 - 59.7 = 5.3
Deviation of 62 = 62 - 59.7 = 2.3
Deviation of 61 = 61 - 59.7 = 1.3
Deviation of 59 = 59 - 59.7 = -0.7
Deviation of 58 = 58 - 59.7 = -1.7
Deviation of 52 = 52 - 59.7 = -7.7
Deviation of 60 = 60 - 59.7 = 0.3