CK-12 Basic Probability and Statistics - A Short Course

5.3. Connecting the Standard Deviation and Normal Distribution http://www.ck12.org

(d) There are 306 flowers in the sample. (e) Seven flowers would be shorter than 10.9 cm.

TABLE5.5:

Datax Mean(x ̄) (Data –Mean)

(x−x ̄)

(Data - Mean)^2

(x−x ̄)^2

8 9.5 -1.5 2.25

8 9.5 -1.5 2.25

9 9.5 -0.5 0.25

9 9.5 -0.5 0.25

9 9.5 -0.5 0.25

9.5 9.5 0 0

9.5 9.5 0 0

9.5 9.5 0 0

9.5 9.5 0 0

9.5 9.5 0 0

9.5 9.5 0 0

9.5 9.5 0 0

9.5 9.5 0 0

9.5 9.5 0 0

9.5 9.5 0 0

10 9.5 0.5 0.25

10 9.5 0.5 0.25

10 9.5 0.5 0.25

11 9.5 1.5 2.25

11 9.5 1.5 2.25

190 10.5

x= 9. 5

σ= 0. 72

1. (95%)


2. (47.5%)


3. (68%)


4. (34%)


5. (81.5%)

1. 68%

2. 13.5%

3. 99.7%