Jenny has six cards.
Each card has a whole number written on it so that the smallest number is 5
the largest number is 24
the median of the six numbers is 14
the mode of the six numbers is 8
Jenny arranges her cards so that the numbers are in order of size.
5,-,-,-,-,24.
(a) For the remaining four cards, write on each line a number that could be on the card.

Respuesta :

Mean is the ratio of the sum of data to the ample size. The remaining four cards that could be on the card are 8, 8, 16 and 22

Measure of dispersion

Mean is the ratio of the sum of data to the ample size. Median is the middle number after rearrangement while the mode is the most occurring number.

Given the sequence of numbers in order of size as 5, _, _, _, _ 24

Since 2 number falls in the middle and the median is 14, hence:

x +y/2 = 14

Since 8 is the mode, we can assume x = 8 in order to determine "y" as shown

8+y/2 = 14
8+y = 28
y = 16

The sequence of numbers will become 5, 8, 8, 16, _ 24 (8 was repeated twice being the mode)

The last unknown number can then be any value between 16 and 24. Using 22 as the last unknown value, the remaining four cards that could be on the card are 8, 8, 16 and 22

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