Question

The heights of five starting players on a basketball team have a mean of 76 inches, a median of 78 inches, and a range of 11 inches.

a. If the tallest of these five players is replaced by a substitute who is 2inches taller, find the mean, median, and range

b. If the tallest player is replaced by a substitute who is 4 inches shorter, which of the new values (mean, median, range) could you determine and what would their new values be?

Answer #1

a) As the tallest of the 5 players is substituted with a player 2 inches taller, therefore

New mean = Old Mean + 2/5 = 76 + 0.4 = **76.4
inches.**

New Median = Old median, because the middle value wont change by
changing the maximum value. **Therefore new median = 78
inches.**

New Range = Old Range + (new max - old max ) = 11 + 2 = 13 inches.

**Therefore new range = 13 inches.**

b) We can determine the new mean as:

New Mean = Old mean - 4/5 = 76 - 0.8 = **75.2
inches**

**New median cannot be computed here, as we are not sure
about the position that the new value would have, the middle value
may not remain the same.**

**New Range can again not be computed, because we would
not know the maximum value after the substitution.**

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A, B: ?¯ = .
A, C: ?¯ = .
A, D: ?¯ = .
A, E: ?¯ = .
B, C: ?¯ = .
B, D: ?¯ = .
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The following table provides the starting players of a
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Player
A
B
C
D
E
Height (in.)
75
77
79
82
87
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A, B: x¯ = ___ .
A, C: x¯ = ___ .
A, D: x¯¯ = ___ .
A, E: x¯ = ____ .
B, C: x¯¯ = ____ .
B,...

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1 point) The following table provides the starting players of a
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A, B: x¯ =
A, C: x¯ =
A, D: x¯ =
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B, C: x¯ =
B, D: x¯ =
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C, D: x¯ =
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82
82
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86
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79
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