A salesperson obtained a systematic sample of size 20 from a list of 500 clients. to do so, he randomly selected a number from 1 to 25 , obtaining the number 18. he included in the sample the 18th client on the list and every 25th client thereafter. list the numbers that correspond to the 20 clients selected

Question

Mathematics

Talan Stout

22 January, 21:56

A salesperson obtained a systematic sample of size 20 from a list of 500 clients. to do so, he randomly selected a number from 1 to 25 , obtaining the number 18. he included in the sample the 18th client on the list and every 25th client thereafter. list the numbers that correspond to the 20 clients selected

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Answers (1)

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Kylan Hall · Answer 1

Answer: 18, 43, 68, 93, 118, 143, 168, 193, 218, 243, 268, 293, 318, 343, 368, 393, 418, 443, 468, 493.

Step-by-step explanation:

We are given that the first client is the 18th client and that every 25th afterwards is also selected, so to go about this we can simply take 18 and repeatedly add 25 until we get the 20 clients:

18, 43, 68, 93, 118, 143, 168, 193, 218, 243, 268, 293, 318, 343, 368, 393, 418,

443, 468, 493.