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Nine students wrote down how many books they read last month:
2, 4, 4, 5, 6, 4, 7, 8, 4.
The librarian states: 'Both the mode and the median of this data are the same number.'
Is the librarian correct, and what is that number if so?

Class 7Mode and MedianData Handling
  • ANo, mode is 4 and median is 5
  • BYes, both are 5
  • CYes, both are 4
  • DNo, mode is 4 and median is 6

Step-by-Step Solution

Mode: 4 occurs 4 times, more than any other value, so mode = 4. Order: 2, 4, 4, 4, 4, 5, 6, 7, 8; there are 9 values, so the 5th (middle) value is 4, giving median = 4. Both the mode and median are 4, so the librarian is correct.
Answer: C) Yes, both are 4

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