Mary measures the weights of five newly hatched pythons in ounces. john converts mary’s measurements to grams. there are 28.35 grams in an ounce. here are mary’s results: python 1 2 3 4 5 mary 1.13 oz 1.02 oz 1.23 oz 1.06 oz 1.16 oz show how to calculate the mean and standard deviation of john’s weights.

John first needs to convert these weights in oz to weight in grams by using the conversion weight given

python 1 = 1.13oz = 1.13*28.35 = 32.04 grams

python 2 = 1.02oz = 1.02*28.35 = 28.92 grams

python 3= 1.23oz = 1.23*28.35 = 34.87 grams

python 4 = 1.06oz = 1.06*28.35 = 30.05 grams

python 5 = 1.16oz = 1.16*28.35 = 32.89 grams

Mean of John's weights =  sum of all weights/ number of observations = (32.04+28.92+34.87+30.05+32.89)/5 = 31.75 grams

Standard deviation

Step1: Subtract the mean from each observation and take the square

These values are : (32.04-31.75)^2 , (28.92-31.75)^2 , (34.87-31.75)^2 , (30.05-31.75)^2, (32.89-31.75)^2

These values are:  0.0841 , 8.0089, 9.7344, 2.89, 1.2996

Step 2: Sum them and divide by number of observations

This would be =(0.0841+8.0089+9.7344+2.89+1.2996)/5 = 4.4034

Step 3: Take the square root of result in step 2 to get final answer

Std. deviation =

Std. deviation = 2.098