Use the table of Test Scores to select all TRUE statements.

Question

test scores
85
90
82
41
88

The outlier is 41.
The range with the outlier is 3.
The range without the outlier is 8.
The outlier affects the range.

Answer 1

To analyze the statements based on the provided test scores (85, 90, 82, 41, 88), we first identify the outlier and then calculate the range with and without the outlier.

1. Identifying the outlier:

   • The outlier is 41, as it is significantly lower than the other scores.

2. Calculating the range:

   • The range is defined as the difference between the maximum and minimum values in a dataset.

   • With the outlier:

     • Maximum = 90
     • Minimum = 41
     • Range = 90 - 41 = 49

   • Without the outlier:

     • The scores without the outlier (41) are: 85, 90, 82, and 88.
     • Maximum = 90
     • Minimum = 82
     • Range = 90 - 82 = 8

Now, let's evaluate the statements:

1. The outlier is 41: TRUE (41 is indeed the outlier)

2. The range with the outlier is 3: FALSE (The range with the outlier is 49)

3. The range without the outlier is 8: TRUE (The calculated range without the outlier is 8)

4. The outlier affects the range: TRUE (The presence of the outlier increases the range from 8 to 49)

Based on this analysis, the TRUE statements are:

• The outlier is 41.
• The range without the outlier is 8.
• The outlier affects the range.