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The table below shows the number of correct answers that students gave on a recent 5-question quiz. Which of the following statements is true? [Number CorrectFrequency021329394657] [ Number Correct 0 1 2 3 4 5 Frequency 2 3 9 9 6 7 ] A. mode > median B. median > mean C. mode < median D. mode > mean

Sagot :

We get that median > mean, making option B the right choice.

In the question, we are informed that the number of correct answers that students gave on a 5-question quiz is given in the table.

We assume the number of correct answers {0, 1, 2, 3, 4, 5}, to be x, and its frequency {2, 3, 9, 9, 6, 7} to be f.

The mean can be calculated using the formula, μ = ∑xf/∑f, whose values can be seen in the table. Thus, the mean,

μ = 107/36 = 2.9722222.

The median is the variable at the middlemost frequency.

The total frequency we have is ∑f = 36.

The middlemost is at 18th and 19th and the variable for both is x = 3.

Thus, the median = 3.

The mode of data is the variable with the highest frequency, which is 2 and 3 in the question, with frequency 9.

Thus, the mode of the data is 2 and 3.

Thus, we get that median > mean, making option B the right choice.

Learn more about the mean, median, and mode at

https://brainly.com/question/452652

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