This Post Has 6 Comments

1. Third option is correct.

   Step-by-step explanation:

   Since we have given that

   Mean [tex](\mu)=15[/tex]

   Standard deviation [tex]\sigma=4[/tex]

   Mean (X) = 25

   We need to find the "Number of standard deviations (Z) from the mean (X) ":

   As we know that in Normal distribution:

   [tex]Z=\frac{X-\mu}{\sigma}\\\\Z=\frac{25-15}{4}\\\\Z=\frac{10}{4}\\\\Z=2.5[/tex]

   Hence, Third option is correct.

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2. This is the concept of probability, to get the number of standard deviations that 25 is from the mean, we calculate the z-score given by:
   Z=(X-mean)/s.d
   where;
   x=25
   mean=15
   s.d=4
   hence;
   z=(25-15)/4=2.5
   The answer is 2.5

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3. So the difference from the mean and the value is:
   25 - 15 = 10
   and now we need to know how many standard deviations of 4 are in that range, that is:
   10/4 = 2.5
   so there are 2.5 std deviations from the mean if the value is 25

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4. 2.5 standard deviations

   Step-by-step explanation:

   The difference from the mean and the value is:

   25 - 15 = 10

   how many standard deviations of 4 are in that range:

   10/4 = 2.5

   There are 2.5 std deviations from the mean if the value is 25

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5. Z=[tex]\frac{25-15}{4}[/tex]=2.5 This is in standardized units, or z-score.

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6. What were your given answer choices

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