Eva earned the following test scores in science: 82, 100, 96, 90, 91 ms. wade entered the next score as 0 because eva was absent on test day and hadn’t had a chance to make up the test. which statements are true based on the data? check all that apply. after adding the 0 test score, the mean would be the most appropriate measure of center to describe the data. after adding the 0 test score, the mean would be affected. after adding the 0 test score, the median would be the most appropriate measure of center to describe the data. before the missed test, eva’s median score was 96. before the missed test, eva’s median score was 91. before the missed test, eva’s mean score was 91.8.

2nd, 3rd, 5th and 6th statements are true.

Step-by-step explanation:

We have been given the scores earned by Eva in Science test. Ms. Wade entered the next score as 0 because Eva was absent on test day and hadn’t had a chance to make up the test.

Let us see which of our given statements are true.

1. After adding the 0 test score, the mean would be the most appropriate measure of center to describe the data.

Our data set before missed test was 82, 100, 96, 90, 91. After adding 0 in data set mean of our data set will be less than median as mean is affected by extreme outliers and 0 is an extreme small outlier for our given data set. Therefore, 1st statement is not true.

2. After adding the 0 test score, the mean would be affected.

Mean before adding 0 was:

Mean after adding 0 will be:

We can see that , which means after adding 0 mean of our data set decreased, therefore, 2nd statement is true.

3. After adding the 0 test score, the median would be the most appropriate measure of center to describe the data.

Since we know that median is the best measure of center for a data set with extreme small and large outliers as outliers do not affect median of a data set.  

0, 82, 90, 91, 96, 100

Our data set has 6 data points therefore, median after adding 0 will be average of middle two terms, that is

Therefore, 3rd statement is true indeed.    

4. Before the missed test, Eva’s median score was 96.

Let us find median score of Eva's test scores by arranging data set in ascending order.

82, 90, 91, 96, 100

Number of data points in our data set is odd, therefore, median of this data set will be value of the middle term, that is 91, therefore, before the missed test, Eva’s median score was 91 and 4th statement is false.

5. Before the missed test, Eva’s median score was 91.

We have seen that before the missed test, Eva’s median score was 91, therefore, 5th statement is true.

6. Before the missed test, Eva’s mean score was 91.8.

Let us find mean of data set before the missed test.

We can see that mean of data set before the missed test is 91.8, therefore, 6th statement is true indeed.      

step-by-step explanation:

10.50 + taxes which added up to 11.50