Understanding Error Intervals: Finding the Range of Exact Values

Understanding Error Intervals: Finding the Range of Exact Values

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains error intervals, which describe the range within which an exact value lies when a number is rounded. It uses examples like weighing flour and measuring height to illustrate how to determine lower and upper bounds. The tutorial also covers the difference between continuous and discrete values and provides strategies for calculating error intervals.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of an error interval?

To calculate the average of a set of numbers

To round numbers to the nearest whole number

To determine the possible range of exact values from a rounded number

To find the exact value of a number

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the flour weight example, what is the significance of 23.65 grams?

It is the exact weight of the flour

It is the upper bound of the error interval

It is the lower bound of the error interval

It is the average weight of the flour

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't the exact weight of the flour be 23.64 grams?

Because it would be rounded up to 23.7 grams

Because it would be rounded down to 23.7 grams

Because it would be rounded down to 23.6 grams

Because it would be rounded up to 23.8 grams

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the upper bound for the flour weight example?

23.74 grams

23.73 grams

23.75 grams

23.76 grams

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the term 'lower bound' refer to?

The exact value

The average value

The minimum possible value

The maximum possible value

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of error intervals, what is an 'upper bound'?

The average of all possible values

The exact value of the measurement

The lowest value that can be rounded up to the given number

The highest value that can be rounded down to the given number

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the upper bound determined for Angela's height?

By finding the exact height of Angela

By averaging the possible heights

By finding the closest number that rounds down to 150 cm

By finding the closest number that rounds up to 150 cm

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