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a population has a mean of 25 median of 24 and mode of 26 the standard deviation is 5 the value for the

Arada [10]

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 $x = 20$

The range for the middle 3 standard deviation is $10 \to 40$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 25$

The median is $m = 24$

The mode is $n = 26$

The standard deviation is $\sigma = 5$

Generally the 16th percentile is mathematically represented as

$P(x)= P(\frac{X - \mu }{ \sigma } \le \frac{x- 25 }{5} ) = 0.16[/teGenerally [tex]\frac{X - \mu}{\sigma } = Z(The \ standardized \ value \ of \ X )$

So

$P(x) = P(Z \le \frac{ x - 25}{5} ) = 0.16$

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

z = -1

$P(x) = P(Z \le \frac{ x - 25}{5} ) = P(Z \le -1 )$

=> $\frac{x- 25}{5} = -1$

=> $x- 25 = -5$

=> $x = 25-5$

=> $x = 20$

The range for the middle 3 standard deviation is mathematically represented

$\mu - 3\sigma \to \mu + 3\sigma$

$25 - 3(5 ) \to 25 + 3(5 )$

$10 \to 40$

3 0

2 years ago

What is the solution for this system use the graphics method ? Help me plz

MAVERICK [17]

Answer:

(-3,29)

Step-by-step explanation:

6 0

2 years ago

Last week, Bill ran 900 meters on each of 3 days. Between last week and this week, bill wants to run a total of 6 kilometers. Ho

laila [671]

For the 3 days he ran a total of : 3 * 900 = 2700 meters.

1000 meters = 1 kilometers

2700 meters = 2700 / 1000 = 2.7 kilometers.

Between last week and this week, Bill ran a total of 6 kilometers.

How far he ran this week = 6 - 2.7 = 3.3 kilometers.

Option C.

7 0

3 years ago

For a scavenger hunt, Jim's mom distributed a bag of 875 jelly beans evenly into 25 plastic containers and hid them around the

kupik [55]

Answer:

Jim only found 15 of the containers.

Step-by-step explanation:

If his mom hid 875 jelly beans evenly into 25 containers we can easily multiply 25 x 35 = 875, which means there were 35 jelly beans in each container.

Jim only found an amount of 385 jelly beans. To find out how many containers he found, all you have to do is divide 385 by 25 which gives us 15.4.

15.4 rounded to the nearest whole number is 15. So your answer would be that Jim found only 15 out of 25 containers.

6 0

2 years ago

the length of the base of an isosceles triangle is 12 inches. Each base angle measures 50. which is a feasible plan to find the

kifflom [539]

To get the congruent angles we shall use the sine rule since we have the length of at least 1 side and the values of the angles.
Base length=12 inches
Base angles=50°
Third angle=180-(100)=80°
thus applying the sine rule we shall have:
a/sin A=b/sin B=c/sin C
thus we can get the congruent side as follows:
a/sin 50= 12/sin 80
a=(12 sin 50)/sin 80
a=9.334 inches
since the sides are congruent then the other congruent side will have a length of 9.334 inches

3 0

2 years ago