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Based on the graph shown, which of the following statements is true?

median < mode
median = mode
median > mode

Based on the graph shown, which of the following statements is true? median < mode-example-1

1 Answer

2 votes
The answer is: [C]: "median > mode" .
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Step-by-step explanation:
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Note:
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From looking at the given "bar chart" graph:

"100" occurs 14 times;

"200" occurs 6 times;

"300" occurs 18 times;

"400" occurs 12 times;

"500" occurs 2 times;

"600" occurs 12 times;

"700" occurs 8 times;
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So, the "mode" (the value the occurs the most often) is "300".
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The median; or "middle number":

Take this values (frequency in which they occur; in least to greatest) to repesent the actual values; for the purpose of determining the "median":

2, 6, 8, 12, 12, 14, 18

The representative value for the median is "12" ; which corresponds to:

"400" and "600" ;

So, in this case, we calculate the "median" by taking the "mean" of these two (2) values:

mean = (sum of the values) ÷ (number of values being added) ;

= (400 + 600) / 2 = 1,000 / 2 = 500.

The median is: "500" .

The mode is: "300" .

Note that: "500 > 300" ;

So; the "median > mode" ; which is:
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Answer choice: [C]: "median > mode" .
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User Chenzhongpu
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