JIPMAT 2023 (QA) - <p>Which of the following statements are True?</p><ul><li>A. The mean of x, y, z is y. Then x + z = 2y.</li><li>B. Median of 15, 28, 72, 56, 44, 32, 31, 43 and 51 is 43.</li><li>C. Mode of 2, 3, 4, 5, 0, 1, 3, 3, 4, and 3 is 3.</li></ul><p>Choose the correct answer from the options given below:</p> | PYQs + Solutions | AfterBoards
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JIPMAT 2023

Arithmetic
>
Averages

Easy

Which of the following statements are True?

  • A. The mean of x, y, z is y. Then x + z = 2y.
  • B. Median of 15, 28, 72, 56, 44, 32, 31, 43 and 51 is 43.
  • C. Mode of 2, 3, 4, 5, 0, 1, 3, 3, 4, and 3 is 3.

Choose the correct answer from the options given below:

Correct Option: 4
A) If mean of x, y, z is y:
x+y+z3=y\frac{x + y + z}{3} = y
x+y+z=3yx + y + z = 3y\newline x+z=2yx + z = 2y\newline Therefore statement is TRUE.
B) To find median, arrange in ascending order:\newline 15, 28, 31, 32, 43, 44, 51, 56, 72\newline 9 numbers, median is 5th number = 43\newline Statement is TRUE.
C) Numbers: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3\newline Counting frequency:\newline 0: 1 time\newline 1: 1 time\newline 2: 1 time\newline 3: 4 times\newline 4: 2 times\newline 5: 1 time\newline Mode is 3\newline Statement is TRUE.
Hence, all statements are true.

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