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RRB NTPC Graduate Tier 1 2025 Shift-2 📅 05 Jun, 2025

Marks in statistics of 12 students are x, 28, 35, 56, 78, 63, 65, 81, 79, 83, 80, y, where x and y are the lowest and highest marks, respectively. If the range and average of the marks are 70 and 64, respectively, then the ordered pair (x, y) is:

A
(23, 93)
B
(35, 105)
C
(25, 95)
D
(30, 100)
Result Summary
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RRB NTPC Graduate Tier 1
2025 • 05 Jun, 2025 • Shift-2
Marks in statistics of 12 students are x, 28, 35, 56, 78, 63, 65, 81, 79, 83, 80, y, where x and y are the lowest and highest marks, respectively. If the range and average of the marks are 70 and 64, respectively, then the ordered pair (x, y) is:
Correct Answer
(25, 95)
Range Application: The range of a dataset is the difference between its maximum and minimum values. Therefore, y - x = 70.Summation Setup: The average mark of t......
Ref/Book : RRB NTPC Graduate Tier 1 2025
Ref. Subject Mathematics
Chapter -
Ref. Topic Statistics
Pg. No -
💡 Analysis & Explanation
Range Application ▼
The range of a dataset is the difference between its maximum and minimum values. Therefore, y - x = 70.
Summation Setup ▼
The average mark of the 12 students is 64, making the total sum of all marks = 12 * 64 = 768.
Known Entity Extraction ▼
The sum of the 10 explicitly given numbers (28+35+56+78+63+65+81+79+83+80) equals 648.
Simultaneous Equations ▼
The combined sum of x and y is 768 - 648 = 120. Now we have two equations: x + y = 120 and y - x = 70.
Final Resolution ▼
Adding both equations gives 2y = 190, meaning y = 95. Substituting this back, x = 120 - 95 = 25.
Conclusion ▼
The ordered structural pair maps cleanly to (25, 95).
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