Question

1. Using the Empirical Rule Graph below and the formula using mean and standard deviation, determine the following:

1. The middle 68% of all bags contain how many M&Ms?

2. The middle 95% of all bags contain how many M&Ms?

3. The lowest 2.5% of all bags contain how many M&Ms?

4. The highest 2.5% of all bags contain how many M&Ms?

5. The middle 99.7% of all bags contain how many M&Ms?

103	103	103	103	104	104	104	104
105	106	106	106	106	107	108	108

Answer 1

A)

mean =    ΣX/n =    1680.000   /   16   =   105.0000
  
                      
sample std dev =   √ [ Σ(X - X̄)²/(n-1)] =   √   (46/15)   =       1.7512

68% MEANS VALUE INSIDE OF ONE STANDARD DEVIATION

9 VALUES

B)

16 VALUES

C)

0 VALUE

D)

0 VALUE

E)

16 VALUE

THANKS

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