1. Calculate the mean for samples for which

a) = 10, = 85

b) = 16, = 400

c) = 45, = 35 d) = 18, = 242

2. Calculate the mean, median and mode for each of the following samples:

a) 7, 2, 3, 3, 0, 4

b) 2, 3, 5, 3, 2, 3, 4, 3, 5, 1, 2, 3, 4

c) 51, 50, 47, 50, 48, 41, 59, 68, 45, 37

3. Calculate the variance and standard deviation for samples for which

a) = 10, 2 = 84, = 20

b) = 40, 2 = 380, = 100

c) = 20, 2 = 18, = 17

4. Calculate the range, variance and standard deviation for following samples

a) 39, 42, 40, 37, 41

b) 100, 4, 7, 96, 80, 3, 1, 10, 2

5.The ordered array below represents the number of vitamin supplements sold by a health food store in a sample of 16 days.

19 19 20 20 22 23 25 26 27 30 33 34 35 36 38 41 a) The descriptive summaries are given in the following table. No. of supplements Mean 28.00 Standard Error 1.84 Median 26.50 Mode 19 & 20 Standard Deviation 7.36 Sample Variance 54.13 Kurtosis -1.32 Skewness 0.29 Range 22.00 Minimum 19.00 Maximum 41.00 Sum 448.00 Count 16

(i) Interpret the mean, median and mode.

(ii) Interpret the variance, standard deviation and range.

(iii) What does the skewness statistic indicate?

(iv) What does the kurtosis statistic indicate?