If the mode of the data: 16, 15, 17, 16, 15, x, 19, 17, 14, is 15, then x =
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The mode is the value that occurs most frequently in a dataset. In the given data:
16, 15, 17, 16, 15, x, 19, 17, 14,
the mode is given as 15. This means 15 must occur more frequently than any other number.
Current frequencies
– 15 appears 2 times.
– 16 appears 2 times.
– 17 appears 2 times.
– All other numbers (19, 14) appear 1 time.
Ensuring 15 is the mode
For 15 to be the mode, it must occur more frequently than any other number. Currently, 15, 16, and 17 all appear 2 times. To make 15 the mode, we need it to appear 3 times, which requires setting x = 15.
Final Answer:
If x = 15, then 15 becomes the mode with 3 occurrences.
This question related to Chapter 13 Mathematics Class 10th NCERT. From the Chapter 13. Statistics. Give answer according to your understanding.
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