The lower quartile is 29.
16 17 27 29 29 34 35 46
116% = 116/100 = 29/25
129
29
734 / 29 = 25 and 9/29
Lower Quartile (Q1): the number that divides the lower half of the data into two equal halves. For example, given this data: 25, 26, 27, 28, 29, 30, 40, 41, 42 The Median is 29. Now, you need to find the lower quartile. You want to look at all the data that is below the median, so: 25, 26, 27, 28, The median splits the data into two groups. Find the median of the lower group, which is 26.5 ((26+27)/2). The lower quartile is 26.5
42
39
37
12
15
25
29
Inter quartile range: quartiles are data items 1/4, 1/2 and 3/4 through a sorted list:232529 < Quartile 1313435 < Quartile 2 (Median)363738 < Quartile 34042InterQuartile range is Quartile 3 - Quartile 1; In this case, 38-29= 9It is a measure of how data is spread.How to calculate from mean and standard devation:mean = ustd. dev = sLook up .2465 in the z-table as 24.65% of the data lies to the left of Q1 and you will find z = -0.7.You know s and u, so solve for x.z = (x-u)/sx = u + sz24.65% of the data lies to the right of Q2. So look up the z-value for 1 - 0.2465, repeat.
16 17 27 29 29 34 35 46
30.555555555555555555555555555555555555555555555555555555555555 and so on
29 / 25 = 1.16