a travel company sells holidays and wants to survey 500 customers stratified by country visited
complete the table
Answers
Answer:
The complete question is:
A travel company sells holidays and wants to survey 500 customers stratified by country visited, complete the table.
Countries: UK, France, Spain, Italy, Total
No. of customers: 968, 248, 2042, 742, 4000
No. of sample: ________, _________, __________, _________, 500
The correct answer is:
No. of sample: 121, 31, 255, 93, 500
Step-by-step explanation:
Given:
Total sample= 500 customers
Countries: UK, France, Spain, Italy, Total
No. of customers: 968, 248, 2042, 742, 4000
To find:
Sample of customers taken from each country
Solution:
Since the company wants to survey 500 customers by the countries visited, the number of samples from each country will be proportional to the number of customers, that is, we shall employ the following formula to calculate the sample taken from each country:
No. of samples taken = (No. of customers / Total no. of customers) x Total no. of samples
Therefore, we shall now use the formula and the given data to calculate the samples taken from each country.
For UK, Number of Samples => (968 / 4000) x 500 = 121
For France, Number of Samples => (248 / 4000) x 500 = 31
For Spain, Number of Samples => 2042 /4000 x 500 = 255.25 (This can approximately be taken as 255 as the no. of samples taken must be a whole number.)
For Italy, Number of Samples => (742 / 4000) x 500 = 92.75 (We shall round this off to 93)
Therefore, we can that the no. of samples taken from each country are as follows:
UK = 121
France = 31
Spain = 255
Italy = 93
Therefore, we can complete the table as shown in the attached image.
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