Final answer:
To calculate the standard deviation, we can use the formula Standard Deviation = sqrt(sum((x - mean)^2) / n). For heights, the standard deviation is 4.18 inches and for weights, it is 14.97 pounds. The standard deviation for heights is smaller than that for weights, indicating less variability in heights.
Step-by-step explanation:
To calculate the standard deviation for the heights and weights of the girls, we can use the formula:
Standard Deviation = sqrt(sum((x - mean)^2) / n)
Where x is the data point, mean is the average, and n is the number of data points.
a. For the heights of the girls, the data is 54, 56, 58, 60, 62, 64, 66, 68, 70. The mean is 62 and the standard deviation is 4.18 inches.
b. For the weights of the girls, the data is 80, 85, 90, 95, 100, 105, 110, 115, 120. The mean is 97.22 and the standard deviation is 14.97 pounds.
c. The standard deviation for heights is smaller than the standard deviation for weights, indicating less variability in heights compared to weights.
d. The variation in measurements between heights and weights can be evaluated by comparing their respective standard deviations. The larger the standard deviation, the greater the spread of data around the mean.