Question

2.Imagine the following numbers are the BMI of 35 people who are under the kinesiology department test.

21.5

23.5

21.8

27.0

26.2

23.4

29.7

23.7

34.2

28.4

28.2

24.6

28.5

28.3

34.2

31.5

32.1

31.8

36.9

38.2

25.5

19.5

25.8

22.4

31.0

30.2

33.1

30.5

38.1

36.6

23.9

24.7

24.2

28.4

29.0

a) Determine the dispersion measures: the variance, standard deviation, and COV

b) Plot the histogram for concrete strength and discuss the characteristics.

c) Plot a histogram with the BMI interval of 2.

Answer 1

a) To compute,

Variance =

Standard deviation (s)=

Coefficient of variation = %

Where, = mean =

now, mean= 28.474

Variance = 24.578

Standard deviation = 4.958

Coefficient of variation = (4.958/28.578)*100% = 17.41%

b)Histogram for concrete strength :

The curve follows log normal distribution.

c) Histogram with bmi Interval of 2 :