5.   Tell whether the statement is true or false:
        (i) The mode is always one of the numbers in a data.
        (ii) The mean is one of the numbers in a data.
       (iii) The median is always one of the numbers in a data.
       (iv) The data 6, 4, 3, 8, 9, 12, 13, 9 has mean 9.

Answers (2)

(i) True.

Mode is the observation which occurs maximum number of times.

Hence, Mode will always be the one of the numbers in a data.

(ii) False.

(iii) False.

For even number of observations, the median is the mean of the \frac{n}{2}^{th} and\left (\frac{n+1}{2} \right )^{th} values.

(iv) Mean = \frac{Sum\ of\ observations}{Number\ of\ observations}

\\ = \frac{6+ 4+ 3+ 8+ 9+ 12+ 13+ 9}{8} \\ = \frac{64}{8} \\ \\ = 8

Hence, the statement is False.

1. False

2.False

3.False

4.False

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