The histogram above shows the hieghts in cm distribution of

The histogram above shows the hieghts (in cm) distribution of 30 people.

a.) determine the range of heights for this group of 30 people.

B.) list the mean/meadian class.

c.) determine the mean hieght of this group of 30 people. compare with a visual obervation of the histogram.

d.) determine the median height of this gorup of 30 people. compare witha visual observation of the histogram.

E.) does this data exhibit a normal or near - normal distribution? who or why not?

Heights of 30 people 5 139.5 149.5 159.5 169.5 179.5 189.5 199.5 Heights in cm www.analyzemath.com

Solution

Range = highest reading - lowest reading

= 199.5-139.5 = 60 cm

B) Median = 159.5 (exactly 15th)

C) To find mean

d) Median = 159.5

e) near normal as symmetrical but mean and median slightly vary

Hence right skewed

Mid pt x	Freq f	x*f
144.5	6	867
154.5	9	1390.5
164.5	7	1151.5
174.5	5	872.5
184.5	2	369
194.5	1	194.5
	30	4845
Mean		161.5