Help With Upper & Lower Bounds

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In summary, the author has attempted to answer questions about upper and lower bounds for potatoes, field shape, and rectangle area.
  • #1
tomtomtom1
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Hi all

I am studying for a maths test regarding upper and lower bounds, i have found a list of questions which i have attempted, i wa hoping someone could confirm if my answers are correct.

1. The weight of a bag of potatoes is 25 kg, correct to the nearest kg.
(a) Write down the smallest possible weight of the bag of potatoes (My answer = 24.5kg)
(b) Write down the largest possible weight of the bag of potatoes (My answer = 25.5kg)

2. The length of a line is 63 centimetres, correct to the nearest centimetre.
(a) Write down the least possible length of the line (My answer = 62.5cm)
(b) Write down the greatest possible length of the line (My answer =63.5cm )

3. A field is in the shape of a rectangle.
The length of the field is 340 m, to the nearest metre.
The width of the field is 117 m, to the nearest metre.
Calculate the upper bound for the perimeter of the field (My answer = 916m)

4. The length of a rectangle is 30 cm, correct to 2 significant figures.
The width of a rectangle is 18 cm, correct to 2 significant figures.
(a) Write down the upper bound of the width (My answer = I DO NOT KNOW)
(b) Calculate the upper bound for the area of the rectangle (My answer = I DO NOT KNOW)

5.The length of the rectangle is 35 cm correct to the nearest cm.
The width of the rectangle is 26 cm correct to the nearest cm.
Calculate the upper bound for the area of the rectangle (My answer = 940.75)
 
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  • #2
Those are all correct, except, of course, for 4. You appear to be saying you do not know what "significant figures" means. If problem 4 had said "30 cm to the nearest cm" and "18 cm to the nearest cm" would you be able to do it?
 
  • #3
I would, the answer would be 29.5cm- 30.5cm & 17.5cm - 18.5cm,
 

Related to Help With Upper & Lower Bounds

What are upper and lower bounds?

Upper and lower bounds refer to the maximum and minimum possible values of a data set or variable. They are used to provide a range of values within which the true value is expected to fall.

Why are upper and lower bounds important in scientific research?

Upper and lower bounds are important in scientific research because they help to account for uncertainty and variability in data. By establishing a range of possible values, researchers can better understand the limitations and potential implications of their findings.

How do you calculate upper and lower bounds?

Upper and lower bounds can be calculated using statistical methods such as confidence intervals or standard deviation. These methods take into account the variability and distribution of the data to determine a range of values that is likely to contain the true value.

What is the difference between upper and lower bounds?

The main difference between upper and lower bounds is that upper bounds represent the maximum possible value, while lower bounds represent the minimum possible value. Upper bounds are also sometimes referred to as upper limits, and lower bounds as lower limits.

How are upper and lower bounds used in experimental design?

Upper and lower bounds are used in experimental design to set parameters for data collection and analysis. By establishing a range of values, researchers can determine if their results are statistically significant and if there is evidence to support their hypothesis.

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