Complete Question
A population has a mean of 25, a median of 24, and a mode of 26. The standard deviation is 5. The value of the 16th percentile is _______. The range for the middle 3 standard deviation is _______.
Answer:
The value of the 16th percentile is 
The range for the middle 3 standard deviation is 
Step-by-step explanation:
From the question we are told that
The mean is 
The median is 
The mode is 
The standard deviation is 
Generally the 16th percentile is mathematically represented as
![P(x)= P(\frac{X - \mu }{ \sigma } \le \frac{x- 25 }{5} ) = 0.16[/teGenerally [tex]\frac{X - \mu}{\sigma } = Z(The \ standardized \ value \ of \ X )](https://tex.z-dn.net/?f=P%28x%29%3D%20P%28%5Cfrac%7BX%20%20-%20%20%5Cmu%20%7D%7B%20%5Csigma%20%7D%20%20%20%5Cle%20%5Cfrac%7Bx-%2025%20%7D%7B5%7D%20%29%20%3D%200.16%5B%2Fte%3C%2Fp%3E%3Cp%3EGenerally%20%20%5Btex%5D%5Cfrac%7BX%20-%20%20%5Cmu%7D%7B%5Csigma%20%7D%20%20%3D%20%20Z%28The%20%20%5C%20%20standardized%20%5C%20%20value%20%5C%20of%20%20%5C%20X%20%20%29)
So

Now from the normal distribution table the z-score of 0.16 is
z = -1

=> 
=> 
=> 
=> 
The range for the middle 3 standard deviation is mathematically represented



Step-by-step explanation:
x/5 + 7 = 16
x/5 = 16 - 7
x/5 = 9
x = 9×5
= 45
Answer: A
Step-by-step explanation:
So here is how we are going to find the answer. Firstly, we deduct 58 from 76 and we got 18. The decrease is $18. Now, we are going to find out how many percent is 18 of 76. So we divide 18 by 76 multiplied by 100 and we get 23.7%. Hope this answers your question. Have a great day!
Answer: 9/25 or 36%
Step-by-step explanation:
72 + 28 + 62 + 38 = 200
There are 200 people in total and 72 are youngsters who like sport cars.
So, the number of youngsters who like cars out of the total number of people is 72/200.
Now, find a greatest common divisor. In this case, the greatest common divisor is 8.
72 / 8 = 9
200 / 8 = 25
9/25 (fraction)
25 * 4 = 100
9 * 4 = 36
36/100 = 36% (percentage)