For the data set given below, calculate the 70th percentile. (answer with an integer or decimal.) 24 45 52 78 90 120 34 67 111 10

The 70th percentile would be 84

Step-by-step explanation:

Firstly, we order the values in ascending order

[10, 24, 34, 45, 52, 67, 78, 90, 111, 120]

Secondly, we calculate the index i

Given that the number of terms n = 10

The seventh percentile can be gotten by firstly obtaining the index i

i = (p/100) x n

where i is the index

p is the percentile = 70

n the number of terms = 10

i = (70/100) x 10

i = 7

The index number is 7

Thirdly, evaluate the 70th Percentile

The 70th can be obtained by taking the average of the 7th value in the list which is the index and the 8th value which is immediately after the index number.

[10,24,34,45,52,67,78,90,111,120]

From the list 78 and 90 are the 7th and 8th numbers respectively;

70th percentile = (78+90) / 2

70th percentile = 84

Therefore the 70th percentile is 84