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XimeSol

ScoreFrequency
k-41
k-24
k8
k+2n

The table above shows a frequency chart for the scores on a certain accounting quiz, where k and n are positive integers. What is the standard deviation of the scores on the accounting quiz?

1) k=5
2) n =12


Standard deviation denotes how much individual values in a data set differ from the mean (average) of the set. Put otherwise, standard deviation is a measure of the amount of variation or dispersion in a set of values.

The mean of the set is = \(\frac{k + 4 + k - 2 + k + k + 2}{4} = k - 1\)

We can find the distance each of the score elements is from the mean as each of the scores is given in terms of k. Hence, we only need the number of terms (frequency) of each element to determine the standard deviation of the quiz.

Statement 1

1) k=5

As stated above, the value of \(k\) is not relevant as we are interested in finding the distance from the mean. We can already determine that regardless of the value of \(k\). Hence, this statement is not sufficient. We can eliminate A and D.

Statement 2

2) n =12

As analyzed above, knowing the frequency of the element is sufficient to find the standard deviation. This statement is sufficient.

Option B

how can you write mean of set without taking into account the freqency?
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ankitmba95

how can you write mean of set without taking into account the freqency?

My bad. I had overlooked that fact. Have updated the solution to reflect the details.
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Can someone explain it better??
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