If you would like to know the interquartile range of the new set and the interquartile range of the original set, you can do this using the following steps:
The interquartile range is the difference between the third and the first quartiles.
The original set: 69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82
Lower quartile: 72
Upper quartile: 76.25
Interquartile range: upper quartile - lower quartile = 76.25 - 72 = 4.25
The new set: 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77
Lower quartile: 72.5
Upper quartile: 76
Interquartile range: upper quartile - lower quartile = 76 - 72.5 = 3.5
The correct result would be: The interquartile range of the new set would be 3.5. The interquartile range of the original set would be more than the new set.
