The third quartile (rounded to the nearest tenth if needed) of the following data set is: 15, 16, 17, 23, 11, 19, 20, 15, 18, 22, 15
(1 point)
Responses
15
15
17
17
20
20
17.4
The third quartile is the same as the 75th percentile of the data set, meaning that 75% of the data falls below this value. To calculate the third quartile, we first need to arrange the data in ascending order:
11, 15, 15, 15, 16, 17, 18, 19, 20, 22, 23
Since we have 11 data points, the position of the third quartile can be calculated as (11+1)/4 * 3 = 8.25. However, since this is not a whole number, we take the average of the 8th and 9th data points:
(18 + 19) / 2 = 18.5
Rounded to the nearest tenth, the third quartile of this data set is 18.5.