Hello!
First of all, for our first scenario, the variation or spread of a data set is represented by the range. You subtract the largest and smallest number in the data set to find how much is in between.
Next, the mode is the number of piece of data that shows up the most in the data set, or the most common piece. Therefore, the most popular color is the mode.
As you can see, number 3 clearly says mean in the problem. This is the average cost.
The median is the middle number. Basically, it splits the data in half. If half of the students are 15 or higher, the middle age is 15, therefore, the median is 15.
Therefore, our answers are below.
2. Mode
3. Mean
1. Range
4. Median
I hope this helps!
Answer:
a) 0.1003
b) 35.26
c) 21.92
d) Middle 80% smallest 10% and largest 10% = 20.02 and 39.98
Step-by-step explanation:
Given that: mean ц = 30 , standard deviation δ = 7.8
a) P(x ≤ 20)
= P [ (x - ц ) / δ ≤ ( 20 -30) / 7.8 ]
= P(z ≤ -1.28)
= 0.1003
probability = 0.1003
b) 75th percentile
P(Z < z) = 0.75
z = 0.674
Using z-score formula
x = z * δ + ц
x = 0.674 * 7.8 + 30
x = 35.26
c) 15th percentile
P(Z < z) = 0.15
z = -1.036
Using z-score formula
x = z * δ + ц
x = (-1.036) * 7.8 + 30
x = 21.92
d) Middle 80%
P(-z ≤ Z ≤ z) = 0.80
P(Z ≤ z) - P(Z ≤ -z) = 0.80
2P(Z ≤ z) - 1 = 0.80
2P(Z ≤ z) = 1 + 0.80 = 1.80
P(Z ≤ z) = 1.80 / 2 = 0.90
P(Z ≤ ± 1.28) = 0.90
z = -1.28, + 1.28
x = z * δ + ц
x = (-1.28) * 7.8 + 30
x = 20.02
x = z * δ + ц
x = 1.28 * 7.8 + 30
x = 39.98
Middle 80% two values = 20.02 and 39.98
smallest 10%
P(Z < z) = 0.10
z = -1.28
Using z-score formula
x = z * δ + ц
x = ( -1.28) * 7.8 + 30
x = 20.02
largest 10%
P(Z > z ) = 0.10
1 - P(z < z) = 0.10
P(z < z) = 1 - 0.10 = 0.90
z = 1.28
Using z-score formula
x = z * δ + ц
x = (1.28) * 7.8 + 30
x = 39.98
Answer:
$72
Step-by-step explanation:
I = Prt
I = ($300)(0.04)(6)
I = $72
Answer:
5.8 cups of flours
Step-by-step explanation:
if you use the desmos graphing calculator - since you didn't provide answer choices - it should be able to help you.