Question

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.

Answer 1

(i) True Mode of a given data is that value of observation which occurs for the most number of times. Therefore, it is one of the observations given in the data.
(ii) False Mean may or may not be one of the numbers in the data.
(iii) True The median of the given data is the middle observation when the data is arranged in an ascending or descending order.
(iv) False The given data is 6, 4, 3, 8, 9, 12, 13, 9
Mean = \(\frac{6 + 4 + 3 + 8 + 9 + 12 + 13 + 9 }{8}\) = \(\frac{64}{8}\) = 8