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Imagine that you have entered the following distribution of scores into the program: 7, 9, 6, 3, 7, 8, 4, 10, 7, 9. The mean of this distribution of scores would be changed the most if a score of ________ was removed from the data set.

User Gpunto
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8.5k points

1 Answer

1 vote

Answer:

3

Explanation:

Mean refers to the average value of the set of data.

It is the central value of the set of data.

Another word for Mean is average.

Given scores:7, 9, 6, 3, 7, 8, 4, 10, 7, 9

Solution:

Sum of observations =
7+ 9+ 6+ 3+ 7+ 8+ 4+ 10+ 7+ 9=70

Number of observations = 10

Mean = Sum of observations/Number of observations =
(70)/(10)=7

If observation 3 is removed:

Sum of observations =
7+ 9+ 6+ 7+ 8+ 4+ 10+ 7+ 9=67

Number of observations = 9

Mean = Sum of observations/Number of observations =
(67)/(9)=7.44

If observation 4 is removed:

Sum of observations =
7+ 9+ 6+ 3+ 7+ 8+ 10+ 7+ 9=66

Number of observations = 9

Mean =
(66)/(9)=7.3

If observation 6 is removed:

Sum of observations =
7+ 9+ 3+ 7+ 8+ 4+ 10+ 7+ 9=64

Number of observations = 9

Mean =
(64)/(9)=7.1

If observation 7 is removed:

Sum of observations =
9+ 6+ 3+ 8+ 4+ 10+ 9=49

Number of observations = 7

Mean =
(49)/(7)=7

If observation 8 is removed:

Sum of observations =
7+ 9+ 6+ 3+ 7+ 4+ 10+ 7+ 9=62

Number of observations = 9

Mean =
(62)/(9)=6.9

If observation 9 is removed:

Sum of observations =
7+ 6+ 3+ 7+ 8+ 4+ 10+ 7=52

Number of observations = 8

Mean =
(52)/(8)=6.5

If observation 10 is removed:

Sum of observations =
7+ 9+ 6+ 3+ 7+ 8+ 4+ 7+ 9=60

Number of observations = 9

Mean =
(60)/(9)=6.7

Therefore, mean of this distribution of scores would be changed the most if a score 3 was removed from the data set.

User Okpara
by
8.7k points

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