The table shows the grades 10 students earned on an exam. Which data value is relatively far from the other​ values? If this stray value is removed from the data​ set, how is the range​ affected?

Question

Student Scores
Student 1 :
83
Student 6 :
82
Student 2 :
85
Student 7 :
98
Student 3 :
81
Student 8 :
88
Student 4 :
88
Student 9 :
85
Student 5 :
84
Student 10 :
84

Question content area bottom
Part 1
The stray data value is
  
enter your response here.

Answer 1

To determine which data value is relatively far from the other values, we can examine the scores provided:

• Student 1: 83
• Student 2: 85
• Student 3: 81
• Student 4: 88
• Student 5: 84
• Student 6: 82
• Student 7: 98
• Student 8: 88
• Student 9: 85
• Student 10: 84

Among these scores, the score of Student 7, which is 98, stands out as it is noticeably higher than the other scores, which mostly cluster in the low 80s to high 80s range.

Thus, the stray data value is 98.

Now, let's calculate the range of the data set both before and after removing this stray value.

1. Original Data Set:

   • Minimum score: 81
   • Maximum score: 98
   • Range = Maximum - Minimum = 98 - 81 = 17

2. Data Set without Stray Value (98):

   • New Minimum score: 81
   • New Maximum score: 88 (since 98 is removed)
   • New Range = Maximum - Minimum = 88 - 81 = 7

So, when the stray value of 98 is removed, the range decreases from 17 to 7.

You can respond with: The stray data value is 98. After removing it, the range is affected and changes from 17 to 7.