swetnathann swetnathann
  • 10-10-2019
  • Mathematics
contestada

10 numbers have a mean of 7.5. The number 3 is removed. What is the new mean?

Respuesta :

tallinn tallinn
  • 22-10-2019

Answer:

New mean = 8.

Step-by-step explanation:

Mean = 7.5 and N = 10

[tex]Mean(\bar{X}) = \frac{\sum x}{N}[/tex]

[tex]7.5 = \frac{\sum x}{10}[/tex]

[tex]\sum x = 7.5 \times 10 = 75[/tex]

Now if number 3 is removed then,

[tex] New \sum x = 75 - 3 = 72[/tex]

and n = 10 - 1 = 9 (since 1 number in a series is removed)

[tex]New\ mean = \frac{New \sum x}{n} = \frac{72}{9} = 8[/tex]

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