Question
Find the values at the 30th and 75th percentiles for the data set.
2 9 3 17 3 2 14 3 4 8 7 20 15 12 6 8 7 11 17 13
2 9 3 17 3 2 14 3 4 8 7 20 15 12 6 8 7 11 17 13
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GPT 3.5
To find the values at the 30th and 75th percentiles, first we need to arrange the data set in ascending order:
2 2 3 3 3 4 6 7 7 8 8 9 11 12 13 14 15 17 17 20
The number of values in the data set is 20.
To find the value at the 30th percentile:
30% of 20 is 6
The 30th percentile falls between the 6th and 7th values in the ordered data set: 6 and 7.
To find the value at the 30th percentile, we take the average of these two values:
(6 + 7) / 2 = 6.5
Therefore, the value at the 30th percentile is 6.5.
To find the value at the 75th percentile:
75% of 20 is 15
The 75th percentile falls on the 15th value in the ordered data set: 13.
Therefore, the value at the 75th percentile is 13.
2 2 3 3 3 4 6 7 7 8 8 9 11 12 13 14 15 17 17 20
The number of values in the data set is 20.
To find the value at the 30th percentile:
30% of 20 is 6
The 30th percentile falls between the 6th and 7th values in the ordered data set: 6 and 7.
To find the value at the 30th percentile, we take the average of these two values:
(6 + 7) / 2 = 6.5
Therefore, the value at the 30th percentile is 6.5.
To find the value at the 75th percentile:
75% of 20 is 15
The 75th percentile falls on the 15th value in the ordered data set: 13.
Therefore, the value at the 75th percentile is 13.
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