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24 July, 18:57

The following data shows the scores Gina obtained on 12 IQ tests:93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86The box plot below represents the dа ta:box plot has minimum value equal to 74, lower quartile equal to 83, median equal to 86.5, upper quartile equal to 92.75 and maximum value equal to 99Which of the following is shown incorrectly in the box plot? MedianLower quartileUpper quartileMaximum value

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  1. 24 July, 22:57
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    Upper quartile and Maximum value

    Step-by-step explanation:

    The first step in creating a box plot is to order the data from least to greatest:

    74, 74, 83, 83, 83, 86, 87, 90, 92, 93, 93, 94

    Next we find Q2, the median. This is the middle value; in this data set, it is between 86 and 87. This makes it

    (86+87) / 2 = 173/2 = 86.5

    The median splits the data into two halves. The median of the lower half is the lower quartile, or Q1; this value is between 83 and 83. This makes it 83.

    The median of the upper half of data is the upper aquartile, or Q3; this value is between 92 and 93. This makes it

    (92+93) / 2 = 185/2 = 92.5

    The lowest value is 74 and the highest value is 94.

    This means the upper quartile of the given plot, 92.75, is incorrect, as is the maximum value given, 99. These should be 92.5 and 94, respectively.
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