Here is the histogram of a data distribution. All class widths are 1. What is the median of the distribution? A. 10
B. 7
C. 8
D. 6
Answers
Median of the data distribution given in the histogram using the cumulative frequency is 8.
The class width = 1
The values of the data are,
4, 1, 1, 1, 1, 3, 4, 4, 6.
Cumulative frequencies = 4, 5, 6, 7, 8, 11, 15, 19, 25
n = 25 and n/2 = 12.5
Median lies on the 12.5th observation.
12.5th observation lies in the class where cumulative frequency is 15.
Median class is 7.5 - 8.5.
l, lower limit of median class = 7.5
n = 25
f = frequency of median class = 4
cf, cumulative frequency of class preceding the median class = 11
h, class size = 1
Median = l + [(n/2 - cf) / f] h
= 7.5 + [(25/2 - 11) / 4] 1
= 7.875 ≈ 8
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Median- the middle number.
So we have to organize the numbers in roofer from least to greatest, so we have to count how many 2,3,4,5,6s there are and so fourth.
I’ll have them listed for you.
2 2 2 2 3 4 5 6 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10.
Next step is to find the middle number (s). If it has an even amount of numbers, we have to take the two middle numbers and divided by two.
If there are an odd amount of numbers, we just pick the middle number.
[i.e: 2 3 4; the middle number here is 3]
[i.e: 2 3 4 5; the middle number is 3+4=7 divided by 2 which equals 3.5]
Okay so let’s count how many numbers there are.
There are 25 numbers in total, so therefore there are 2 middle number (s).
So let’s divided 25/2 to get the two middle numbers, which is 12.5, therefore numbers 12-13 are middle numbers.
So let’s count what number is 12 and 13. When you count the numbers in order, you can tell that 8 and 8 are numbers of 8.
The final step is to just calculate by adding both numbers and dividing by two because we are trying to find the middle number(average number).
8 + 8 = 16
16/2= 8
The median for this question is 8.
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Answers
6kg 650g
1/2 kg
1/2 kg is equal to 500 grams
1 kg = 1000 grams
We need to convert these figures from kg to g.
6 kg * 1000g/kg = 6*1000g = 6,000 g
6,000 g + 650 g = 6,650 g
6,650 g ÷ 500 g = 13.3 round off to 13
13 * 500 g = 6,500
6 kg 650 g is nearest to 6,500 g.
Answers
Answer:
The first one
Step-by-step explanation:
Answers
Check = 53.85 x 1.54 = 77
Answers
Let ℓ equal length, w equal width, and P equal perimeter.
Use the formula 2ℓ + 2w = P.
ℓ = 2w - 5
2ℓ + 2w = 62
Substitute what you do know for what you don't, and solve.
2(2w-5) + 2w = 62
4w - 10 + 2w = 62
6w - 10 = 62
6w = 72
w = (72/6)
w = 12
The answer is 12 feet.
Final answer:
The width of the deck is 12.0 feet.
Explanation:
To solve this problem, we can set up an equation using information given. Let's say the width of the deck is x feet. According to the problem, the length of the deck is 5 less than twice the width, so the length would be 2x - 5.
The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width. Therefore, we can write the equation as:
62 = 2(x + (2x - 5))
Simplify and solve for x:
62 = 6x - 10
72 = 6x
x = 12
Rounded to the nearest tenth, the width of the deck is 12.0 feet.
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than one foot
Answers
Answers
Divide both sides by 2
3.125=r2/2
2'a cancel out
3.125=r