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To find the range, we first need to find the highest and lowest values in the dataset.
Sorting the dataset in ascending order:
123, 125, 125, 125, 126, 127, 127, 128, 128, 129
The highest value is 129 and the lowest value is 123.
Range = highest value - lowest value = 129 - 123 = 6
To find the interquartile range, we first need to find the first and third quartiles.
Quartiles:
Q1 = 125
Q3 = 128
Interquartile range = Q3 - Q1 = 128 - 125 = 3
Therefore, the range is 6 and the interquartile range is 3.