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Math  /  Data & Statistics

Questionxx is the −1{ }^{-1}\begin{tabular}{|l|l|l|} \hlineXX & 91 & 7 \\ \hline \end{tabular} (i)
Write the scores in order, from the lowest to the highest in the spaces below. (ii) the question.
Median ==
Explanation:

Studdy Solution

STEP 1

1. The scores are given as: X,91,76,82,37,42,74,54,Y X, 91, 76, 82, 37, 42, 74, 54, Y .
2. The scores already filled in order are: 37,42,54,74,76,82,91 37, 42, 54, 74, 76, 82, 91 .
3. The variables X X and Y Y represent the lowest and highest scores, respectively.

STEP 2

1. Identify the values of X X and Y Y .
2. Order all the scores from lowest to highest.
3. Determine the median of the ordered scores.

STEP 3

Identify X X as the lowest score and Y Y as the highest score. Thus, X=37 X = 37 and Y=91 Y = 91 .

STEP 4

List all scores including X X and Y Y :
37,42,54,74,76,82,91 37, 42, 54, 74, 76, 82, 91

STEP 5

Since there are 9 scores, the median is the 5th score in the ordered list.
The ordered list is:
37,42,54,74,76,82,91 37, 42, 54, 74, 76, 82, 91
The 5th score is:
76 76
The median is:
76 \boxed{76}
Explanation: The median represents the middle score in a data set when it is ordered from lowest to highest. It provides a measure of central tendency that is not affected by extreme values.

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