The daily rainfall during two April weeks was: 1, 0.5, 0.3, 0, 0 ,0, 1.2, 3, 0, 1.1, 0.7, 2, 1.3, 2 inches. What was the median
Leokris [45]
The answer is 0.85 inches.
The median is not the same as the mean (which is usually average).
The mean is the sum of all data divided by the number of data. So, <u>the mean of these numbers would be 0.94:</u>
(1 + 0.5 + 0.3 + 0 + 0 + 0 + 1.2 + 3 + 0 + 1.1 + 0.7 + 2 + 1.3 + 2)/14 = 13.1/14 = 0.94
But we need the median which is the middle value. To find the median, first rearrange the data from the lowest to the highest value. If there is an odd number of data, then the median is the value in the middle. If there is an even number of data, then the median is the mean of the two values that are in the middle.
Calculation of the median:
Step 1. Rearrange the data from the lowest to the highest value.
0, 0, 0, 0, 0.3, 0.5, 0.7, 1, 1.1, 1.2, 1.3, 2, 2, 3
Step 2. Since zhere is the even number of data, find two values in the middle and calculate their mean:
0, 0, 0, 0, 0.3, 0.5, 0.7, 1, 1.1, 1.2, 1.3, 2, 2, 3
7th and 8th values are in the middle. There mean is:
(0.7 + 1)/2 = 1.7/2 = 0.85
Therefore, the median of the data <span>1, 0.5, 0.3, 0, 0 ,0, 1.2, 3, 0, 1.1, 0.7, 2, 1.3, 2</span> is 0.85.
Answer:
Step-by-step explanation:
<u>To make the given piecewise function continuous we need:</u>
- ax² - b = 6 and 5ax + b = 6 at x = 1
<u>It gives us the system:</u>
- a(1²) - b = 6 ⇒ a - b = 6
- 5a(1) + b = 6 ⇒ 5a + b = 6
<u>Sum of the two:</u>
- a - b + 5a + b = 6 + 6
- 6a = 12
- a = 2
<u>Then b is:</u>
Answer:
3 seconds
Step-by-step explanation:
Initial height = 144 feet
t = Time taken
The equation of the height from the ground is
The time taken to reach the ground is needed. Here the ground is taken as reference so
So, time taken by the quarter to reach the ground is 3 seconds.
Answer:
1. 2w + 3p = 7.05
2. p = 1.35
w = 1.50
p = 1.35
- The solution means that a bottle of water costs $1.50 and a bag of pretzels costs $1.35
Explanation
1) Translate the verbal language to algegraic language to create the equations which you can solve.
w = cost of one bottle of water
p = cost of one bag of pretzels
the cost of 2 bottles of water: 2w
the cost of 3 bags of pretzels: 3p
the cost of 2 bottles of water and 3 bags of pretzels is $7.05:
2w + 3p = 7.05 Equation 1
the cost of a bag of pretzels is $ 1.35: p = 1.35 Equation 2
1. 2w + 3p = 7.05
2. p = 1.35
2) Solve the system using substitution method: substitute p with 1.35 in the first equation:
3) Steps to solve the equation:
- Simplify: 2w + 4.05 = 7.05
- Subtract 4.05 from both sides: 2w = 3
- Divide both sides by 2: w = 3/2 = 1.50
Answer: you have found the costs of both a bottle of water and a bag of pretzels, which, repectively, are $ 1.50 and $ 1.35