a)The birth weights, in kg, of 1500 babies are summarized in the table below.

Weight (kg)

0.0-1.0

1.0-2.0

2.0-2.5

2.5-3.0

3.0-3.5

3.5-4.0

4.0-5.0

5.0-6.0

Frequency, f

1

6

60

280

820

320

10

3

i.Calculate an estimate of the mean birth weight. (2 marks)

ii.Calculate an estimate of the standard deviation of the birth weight. (5 marks)

Describe the skewness of the distribution. Give a reason for your answer.