Answer:
80.04
Step-by-step explanation:
It is already arranged in ascending order,
N=30
P84=i((N+1)/100)=84(31/100)=26.04 th item
26.04th item=(26+(27-26(0.04))) th item
80+81-80(0.04)=80+0.04=80.04
The 84th percentile from the data given is 80. 04
Percentiles can be calculated using the formula:
i = k/ 100 (n +1)
Where k = kth percentile = 84th
i = the index
n = the total number of data values
The figures are arranged in ascending order thus:
1 2 4 6 18 22 23 30 32 33 40 44 46 48 49 50 55 56 61 63 71 72 74 77 78 80 81 87 95 100
n = 30
i = 84/ 100 (30+1)
i = 0. 84 (31)
i = 26. 04
Since it is not an integer, round it up to an integer = 26th value + 0.04
Find the 26th value from the arranged data = 80
P84 = 80 + 0.04 = 80. 04
Thus, the 84th percentile of the data is 80. 04
Learn more about percentiles here:
https://brainly.com/question/16844356
#SPJ6
