We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
116
2
avatar+294 
  1. A pet food company wants to know the number of pets owned by adults ages 21 to 70. The frequency table shows the data from a simple random sample of the targeted population.

Total pets owned

1

2

3

4

5

6

7

Number of adults

248

567

1402

728

419

456

203

 

What is the estimated mean for the population? Explain your answer and show your work.

 

Answer: 526.9

The formula to find the estimated mean for the population based on the data will be: Mean= (Σ f(x)) / (Σ f)

x is going to be the Total of Pets Owned, while f is going to be the Number of Adults.

By plugging in the data into this formula you get:

((1*248)+(2*567)+(3*1402)+(4*728)+(5*419)+(6*456)+(7*203)) / (1+2+3+4+5+6+7)

Simplify and reduce

14752/28 = 526.857

Round up: 526.9          

 

 

 

Thank You SO Freaking Much!!!

 May 13, 2019
 #1
avatar
+1

I'm not sure about this, but wouldn't the denominator be    248 + 567 + 1402 + 728 + 419 + 456 + 203   ?

    This would give you the average (mean) number of animals owned by the surveyed population.   

 May 13, 2019
 #2
avatar+28125 
+4

As Guest notes, the denominator should be Σf, so:

 

Σ(fx)/Σf = 3.667,  or mean number of pets per person ≈ 3.7

 May 13, 2019

10 Online Users