If the median of the score distribution on this pop quiz is more than 170, the teacher will drop the next pop quiz. The pop quiz scores followed this distribution: {180, 175, 163, 186, 153, 194, 198, 183, 187, 174, 177, 196, 162, 185, 174, 195, 164, 152, 144, 138, 125, 110}.

What is the median of the distribution?

Question

Brodie Lutz

Mathematics

4 September, 22:59

If the median of the score distribution on this pop quiz is more than 170, the teacher will drop the next pop quiz. The pop quiz scores followed this distribution: {180, 175, 163, 186, 153, 194, 198, 183, 187, 174, 177, 196, 162, 185, 174, 195, 164, 152, 144, 138, 125, 110}.

What is the median of the distribution?

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Answers (1)

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Samantha Bell · Answer 1

In obtaining the median of the data set we have to arrange the data from the lowest to the highest in the pop quiz

110, 125, 138, 144, 152, 153, 162, 163, 164, 174, 174, 175, 177, 180, 183, 185, 186, 187, 194, 195, 196, 198.

After arranging it, locate the number that is situated in the middle. Since the number of data is even (22), check the data that is in between the 11th and 12th number, which is 174 and 175, the answer would be 174.5.