Question

The table below shows the scores of a group of students on a 10-point quiz.Test ScoreFrequency3 54 15 16 27 28 49 310 1The mean score on this test is: _________________The median score on this test is: ____________________

Answer 1

Step-by-step explanation

Part A

We can use the formula below to find the mean.

`\text{Mean}=\sum ^{}_{}((fx)/(f))`

We will then have;

Mean = 6.2632

Part B

Since the data set is odd.

`\begin{gathered} \text{Median}=((n+1))/(2)^(th)\text{observation} \\ =\text{Value of }\frac{\text{(19+1)}}{2}^(th)\text{observation} \\ =\text{value of 10th observation} \end{gathered}`

Answer: From the column of cumulative frequency cf, the median is 7