Question

The table below shows the scores of a group of students on a 10-point quiz.Test ScoreFrequency31425460728391102The mean score on this test is: The median score on this test is:

Answer 1

The mean score is the average calculated by multiplying each score by its frequency, adding them up, and dividing by the total number of scores. The median is the middle score or average of the two middle scores in an ordered list. Without the complete data, we cannot find the exact values of the mean and median.

Step-by-step explanation:

The mean score on this test is calculated by multiplying each test score by its frequency, summing up all those products, and then dividing by the total number of test scores. The median score is the middle score when all scores are listed in numerical order.

Calculating the Mean

Multiply each score by its frequency.

Add all the products from step 1 to get the sum.

1. Divide the sum by the total number of test scores.

To find the median:

1. List all the scores in numerical order.
2. Determine the middle score or the average of the two middle scores if there is an even number of scores.

If the student has provided the correct data, we could proceed with these steps to calculate the mean and median. However, since the data in the question seems incomplete or incorrect, we cannot provide the actual mean and median without the correct data.

Answer 2

The mean: 6.53

The median: 7

Explanation:

To find the mean we average over all the test scores.

The average is defined as

Sum of all data points / total number of data points.

In our case, the data points are the scores.

From the frequency table, we first multiply each score by its frequency. Next, we sum all the numbers in the frequency column. Doing this we get

`3*1+4*2+5*4+6*0+7*2+8*3+9*1+10*2=98`

Next, we sum all the numbers under the frequency table.

`1+2+4+0+2+3+1+2=15`

Therefore, the average is (rounded to the nearest hundredth)

`(98)/(15)=6.53`

Next, we find the median.

To find the median, we arrange the numbers from least to greatest with their frequencies.

`3,4,4,5,5,5,5,7,7,8,8,8,9,10,10`

The median is the middle number. In this case, the 8th number to the left is the median of the data set.

Hence, the median of the data set is 7.

To summerise:

The mean: 6.53

The median: 7