Question

wok Seven students on an intramural team weigh 183 lb, 188 1b, 178 lb, 189 lb, 178 lb, 197 lb and 175 lb. What is the standard deviation of the weights of these students? The standard deviation is er Cor (Round to the nearest tenth.) or Sui ent Suc imedia Chase of

Answer 1

To find the standard deviation of the weights of the seven students, calculate the mean, then find the squared difference between each weight and the mean. Add up all the squared differences and divide by the number of students. Finally, take the square root of the result.

Step-by-step explanation:

To find the standard deviation of the weights of the seven students, we can use the formula for population standard deviation.

Step 1: Find the mean of the weights. Add up all the weights and divide by the number of students. (183 + 188 + 178 + 189 + 178 + 197 + 175) / 7 = 1288 / 7 = 184

Step 2: Find the squared difference between each weight and the mean. For example, for the first weight: (183 - 184)^2 = 1

Step 3: Add up all the squared differences. (1 + 4 + 36 + 25 + 36 + 169 + 81) = 352

Step 4: Divide the sum of squared differences by the number of students. 352 / 7 = 50.286

Step 5: Take the square root of this result to find the standard deviation. √50.286 ≈ 7.1