Math, asked by arunkumar3978, 1 year ago

the mean four number is 22. the mean of smallest three of them is 19. if the range of data is 15 . what is mean of largest three​

Answers

Answered by ineedanswerspls
1

Answer:

the smallest mean is 18.6

Step-by-step explanation:

i hope this helpt x

Answered by ChiKesselman
5

The mean of largest three is 24.

Step-by-step explanation:

Let w, x, y and z be the four numbers in order from smallest to greatest.

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

\dfrac{w+x+y+z}{4} = 22\\\\w+x+y+z = 88

\dfrac{w+x+y}{3} = 19\\\\ w+x+y = 57

Thus, we can find the value of the largest number, z.

z = w+x+y+z-(w+x+y) = 88 - 57 = 31

Range = Maximum - Minimum = 15

\text{Minimum} = \text{Maximum} - 15 = 31 - 15 = 16

Now, w = 16

x + y = 57 -16 = 41

Mean of largest three number =

\dfrac{x+y+z}{3} = \dfrac{41+31}{3} = 24

Thus, the mean of largest three is 24.

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