IGCSE /Grade 6
Maths MCQ Based On Finding the range
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IGCSE Grade 6 Maths Finding the range
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To find the range of a dataset, we need to calculate the difference between the maximum and minimum values in the dataset.
In this case, we have 100 measurements, out of which 5 are incorrect and have been replaced with the value 10. Therefore, we need to consider the possibility that the maximum or minimum values could be the incorrect value of 10.
The possible scenarios for the maximum and minimum values are:
The maximum value is less than 10 if the incorrect measurements are not among the largest values.
The minimum value is greater than 10 if the incorrect measurements are not among the smallest values.
The maximum value is 10 if one or more of the incorrect measurements are among the largest values.
The minimum value is 0 if one or more of the incorrect measurements are among the smallest values.
Considering these possibilities, we calculate the range in each case:
If the maximum value is less than 10 and the minimum value is greater than 10: Range = Maximum value - Minimum value < 10 - 10 = 0.
If the maximum value is 10 and the minimum value is 0: Range = Maximum value -
Minimum value = 10 - 0 = 10.
largest difference
subtract smallest number from greatest number
Difference of 25 and 5
Range = 0 - (-305) = 305
To find the range of a dataset, we need to calculate the difference between the maximum and minimum values in the dataset.
Since each measurement is a randomly generated decimal number between 0 and 1, the maximum possible value is 1 and the minimum possible value is 0.
The range of the dataset will be the difference between the maximum and minimum values:
Range = Maximum value - Minimum value = 1 - 0 = 1
Therefore, the range of the dataset is 1.
To find the range of a dataset, we need to calculate the difference between the maximum and minimum values in the dataset.
Since each measurement is a randomly generated integer between -500 and 500, the maximum possible value is 500 and the minimum possible value is -500.
The range of the dataset will be the difference between the maximum and minimum values:
Range = Maximum value - Minimum value = 500 - (-500) = 1000
Therefore, the range of the dataset is 1000.
To find the range, we need to determine the difference between the maximum and minimum values in the data set. In this case, the smallest value is 12, and the largest value is 55. However, there are repeating values in the data set, such as 20, 30, and 30. When finding the range, we consider only the distinct values. So, the calculation is as follows:
Range = Largest value - Smallest value Range = 55 - 12 Range = 43
Thus, the range of the given data set is 43.
Difference of largest and smallest number
range should lie between the greatest and smallest number
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