To find the first quartile (Q1), we need to arrange the data in ascending order:
6, 7, 15, 36, 41, 43, 47, 49
Since there are 8 values, the median is the average of the two middle values, which are 36 and 41. Therefore, the median is:
Median = (36 + 41)/2 = 37.5
To find the third quartile (Q3), we locate the position of the 75th percentile. Since 75% of 8 is 6, we look for the 6th number in the ordered list, which is 47. Therefore, the third quartile is 47.
The difference between the largest value (49) and the median (37.5) is:
Difference = 49 - 37.5 = 11.5
Therefore, the first quartile (Q1) is 15, the median is 37.5, the third quartile (Q3) is 47, and the difference between the largest value and the median is 11.5.
find the first quartile, median, third quartile, and the difference of the largest value and the median .
{6, 47, 49, 15, 43, 41, 7, 36}
1 answer
1 answer