Final answer:
The interquartile range, a measure of statistical dispersion, of the given ages is 3. The 25th percentile indicates that 25% of the children in the day care are aged 4 or under.
Step-by-step explanation:
The first step in finding the interquartile range is to sort the ages in increasing order: 2 2 3 3 4 4 4 5 5 5 7 7 8 9 10. The interquartile range is the range between the first quartile (25th percentile) and the third quartile (75th percentile). In this set of data, the first quartile is 4 and the third quartile is 7. Therefore, the interquartile range would be 7-4 = 3.
The 25th percentile, sometimes referred to as the lower quartile, is the value below which 25% of the observations fall. In this case, 25% of the children in the daycare are aged 4 or under. This tells us that the youngest quarter of children in this daycare are 4 years old or younger.
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