Answer:
Statements that are true based on 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 91.
-Before the missed test, Eva’s mean score was 91.8.
Step-by-step explanation:
-After adding the 0 test score, the mean would be the most appropriate measure of center to describe the data: NO, <em>it won't because the data now has an extreme value that shifts the mean value significantly.</em>
-After adding the 0 test score, the mean would be affected: YES, <em>The mean value would be greatly impacted by adding the 0, (mean=76.5 with the 0; 91.8 without the 0),</em>
-After adding the 0 test score, the median would be the most appropriate measure of center to describe the data: YES, <em>because the median won't be affected as much as the mean by the extreme value.</em>
-Before the missed test, Eva’s median score was 96: NO,<em> the median score was 91 at that point.</em>
-Before the missed test, Eva’s median score was 91: YES,<em> the median score was 91, the median is defined as the value where 50% of sorted values are below and 50% are above</em>
-Before the missed test, Eva’s mean score was 91.8: YES, <em>the mean is defined as the sum of all values divided by the total number of values</em>
The formula for calculating the median is:
-odd number of values:
-even number of values:
MEDIAN BEFORE ADDING THE 0: 82,90,<em>91</em>,96,100
=3 (third value)
MEDIAN AFTER ADDING THE 0: 0,82,<em>90,91</em>,96,100,
=average between the 3 and 4 values
=90.5
The formula for calculating the mean is:
MEAN BEFORE ADDING THE 0
==91.8
MEAN AFTER ADDING THE 0
==76.5