To find the quartiles, we first need to put the data in order from smallest to largest:
115, 117, 120, 122, 125, 125, 127, 128, 131, 132, 136, 136, 140
1. To find the first quartile (Q1), we find the median of the lower half of the data. Since we have 13 data points, the median is the 7th value:
Q1 = 125
2. To find the third quartile (Q3), we find the median of the upper half of the data. Again, since we have 13 data points, the median is the 7th value starting from the end:
Q3 = 136
3. To find the second quartile (Q2), we find the median of the entire data set. This is given by:
Q2 = (125 + 128) / 2 = 126.5
So the quartiles for the given dataset are Q1 = 125, Q2 = 126.5, and Q3 = 136.
what are the quartiles for the given dataset?
115, 117, 120, 122, 125, 125, 127, 128, 131, 132, 136, 136, 140
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