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Vinvika [58]
3 years ago
13

A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:

Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0

Answer:

a)  The mean     μ  =  719,16

The median is the middle number   m =  711

The mode is the number that occurs more often

md  =  700  

b) The range   r =  67

The standard deviation   σ  =  25.63

I  ( 95 % ) = ( 667.90 ; 770.42)

Step-by-step explanation:

We order the set of numbers in ascending order

             682    687   689  693  694 700 700 700 703   706  707  710   711                                                                        712    713   730   732  734   736  739   752    753  759  768 769

The mean    μ  =  Σ xi/n

μ  =  719,16

The median is the middle number

m  =  711

The mode is the number which occurs more often

md  =  700  

The range is  r  =  769 - 682    r  =  67

c)  Interval with 95 % of observations is   ( μ + 2σ  ; μ- 2σ )

I = ( 719.16  -  2*25.63  ;  719.16  +  2*25.63)

I  ( 95 % ) = ( 667.90 ; 770.42)

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