Experimental 1 Result 20 28 18 19 20 19 22 12 6 18 37 32 21

Experimental #1 Result: 20, 28, 18, 19, 20, 19, 22, 12, 6, 18, 37, 32, 21, 14, 28, 33, 18, 15, 21, 18

5a

Use the experimental #1 data set of the measurements of the lenght of plant stems and the following values obtained from weight of each plants to answer the following questions:

A) compare the standard deviation of lenght and the weight of palnts and

B) interpret the result

Given values: the plants weight mean is 45 and the standard deviaiton is 20.1

5B

Use the experiemental #1 data set to answer the following questions: find the value for the following percentiles

a) 10th

b) 20th

c) 85th

Find the percentiles of the following values

d) 18

e) 28

Solution

Total Data : 20

Mean of Data =20.95

SD of data =7.4585

5a)

A)

Standard Deviation of weight is greater that standard deviation of stems.

B)

Mean (weight) > Mean (stem)

SD(weight) > SD(stem)

5b)

Data (from smallest to largest):

6,12,14,15,18,18,18,18,19,19,20,20,21,21,22,28,28,32,33,37

a)

k=10

10% * 20 = 2

There fore 10th percentile = 12 Answer

b)

k=20

20% * 20 = 4

There fore 20th percentile = 15 Answer

c)

k=85

85% * 20 = 17

There fore 85th percentile = 28 Answer

d)

18 occurs at 5th,6th,7th,8th position.

Therefore,

x% * 20 = 5 => x =25th Percentile

x% * 20 = 6 => x =30th Percentile

x% * 20 = 7 => x =35th Percentile

x% * 20 = 8 => x =40th Percentile

e)

28 occurs at 16th,17th

Therefore,

x% * 20 = 16=> x =80th Percentile

x% * 20 = 17 => x =85th Percentile