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The mean, median, and mode of the 5 number 5, 7, 8, a, b are equal. (the list have a single mode.) find all the possibilities of a+b

Sagot :

The mean, median, and mode of the 5 number 5, 7, 8, a, b. are equal so

the possibilities of a+b is 20.

what is mean?

The" mean" is the" average" you are used to, where you add up all the figures and also divide by the number of figures.

what is median?

The" median" is the" middle" value in the list of figures. To know the median, your figures have to be listed in numerical order from lowest to largest, so you may have to rewrite your list before you can find the median.

what is mode?

The" mode" is the value that occurs utmost often. However, also there's no mode for the list, If no number in the list is repeated.

According to the given Information:

Given numbers are: 5, 7, 8, a, b

Total number =5

Then,

The mean = (5+7+8+a+b) / 5

Mean=(20+a+b) / 5          ------------------ (1)

Median=middle value in the list of figures

Median=8                  ------------------(2)

According to the question ,mean and median  are equal

Compare equation (1) and (2),

we get

= (20+a+b) / 5=8  20+a+b

=40a+b=20

there is no repetition of any number, so no mode is there

hence, all the possibilities of a+b is 20.

learn more about mean ,median and mode visit:

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