Answer:
<u>The standard deviation for the sample of 10 families is 1.68 (Rounding to two decimal places)</u>
Step-by-step explanation:
1. The first step to calculate the standard deviation is to find out the mean, this way:
Mean = (1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 4 + 7)/10
Mean = 27/10 = 2.7
2. Now we calculate the variance, this way:
Variance = [(1 - 2.7)²+(1 - 2.7)²+(2 - 2.7)²+(2- 2.7)²+(2 - 2.7)²+(2 - 2.7)²+(3- 2.7)²+(3 - 2.7)²+(4 - 2.7)²+(7- 2.7)²]/10
Variance = [2.89 + 2.89 + 0.49 + 0.49 + 0.49 + 0.49 + 0.09 + 0.09 + 1.69 + 18.49]/10
Variance = 28.1/10 = 2.81
3. Finally we calculate the standard deviation, this way:
Variance = Standard deviation²
√Variance = Standard deviation
√2.81 = Standard deviation
<u>Standard deviation = 1.68 (Rounding to two decimal places)</u>
