Population lottery numbers: 56, 42, 19, 8, 24, 13 find the total number of samples of size 4 that can be drawn from this populat
1 answer:
Answer:
The correct answer is there are 15 samples each of size 4 to choose from the population and the population mean is 27.
Step-by-step explanation:
Total number of lottery tickets = 6
Number of samples of size 4 that can be drawn from this population of 6 lottery numbers are = = 15.
Now the population mean is given by × ∑ x , where n is the number of lottery tickets and ∑ x is the sum of the lottery numbers.
Summation of the lottery ticket numbers is 162
Thus the population mean is given by = 27.
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Kenny's score on his 72nd game played is 961
<em><u>Solution:</u></em>
Given that the first 5 score of Kenny are listed below:
38, 51, 64, 77, 90
Kenny's scores follow a pattern
<em><u>To find: Kenny's score on his 72nd game played</u></em>
Let us first find the pattern followed
38, 51, 64, 77, 90
<em><u>Find the difference between terms</u></em>
51 - 38 = 13
64 - 51 = 13
77 - 64 = 13
90 - 77 = 13
So the difference between terms is constant
So the sequence is arithmetic sequence
An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant
<em><u>The formula for nth term of arithmetic sequence is given as:</u></em>
= the nᵗʰ term in the sequence
= the first term in the sequence
d = the common difference between terms
Here d = 13 and
So we get,
<em><u>To find the score of 72nd game, substitute n = 72</u></em>
Thus Kenny's score on his 72nd game played is 961