## Mean median mode

Algebra, Functions and equations, Circular functions and trigonometry, Vectors, Statistics and probability, Calculus. IB Maths SL Revision Notes

### Mean median mode

IB Math SL Mean median mode

"The median of 5 integer observations is 24, the mode is 25, the lowest observation is 18, and the average is 23. Find all the observations."

Thanks!!
Lucas

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Joined: Mon Jan 28, 2013 8:05 pm

### Statistics Mean median mode

IB maths SL Statistics Mean median mode

"The median of 5 integer observations is 24, the mode is 25, the lowest observation is 18, and the average is 23. Find all the observations."

The median is the middle of a distribution, that means half the scores are above the median and half are below the median.
The median is less sensitive to extreme scores than the mean and this makes it a better measure than the mean.
When there is an odd number of numbers, the median is simply the middle number.
When there is an even number of numbers, the median is the mean of the two middle numbers.
The mode is the value that occurs most frequently in a data set.

18-??- 24- ?? - ??
-- -- -- -- --
1 2 3 4 5

Since the mode is 25 the 4th and the 4th observation are 25 both.

18-??- 24-25-25
-- -- -- -- --
1 2 3 4 5

Since the mean(average) of the observations is 23
Let x be the 2nd observation then the average is given

average$=\frac{18+x+24+25+25}{5}=23\Rightarrow x+92=115\Rightarrow x=23$

Therefore, the five oservations are

18 21 24 25 25

Hope these help!!
lily

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Joined: Mon Jan 28, 2013 8:04 pm

### Re: Mean median mode

Thanks lily
Lucas

Posts: 0
Joined: Mon Jan 28, 2013 8:05 pm