Answer:
The rest of the question:
Find Mean, Median, Mode, 25th Percentile, 75th Percentile, Maximum, Minimum, Range and IQR.
Let's begin by placing the data points in order from least to greatest:
32 55 66 72 72 76 77 84 88 89 89 94 97
n = 13
1) Mean sometimes called the average = the sum of the data over its number
Mean =( 32+55+66+72+72+76+77+84+88+89+89+94+97 )/13 =
= 991/13 = 76.23 ≈ 76.2 (to the nearest tenth)
2) Median is the middle data point = 77
3) Mode is any number within a set that occurs the most often
Mode = 72 and 89
We will making a data in suitable form to find the remaining requirements:
(32 55 66 72 72 76) 77 (84 88 89 89 94 97)
4) 25th Percentile = Quartile 1 (Q1) which is the median of the first set of data
∴ 25th Percentile = (66+72)/2 = 138/2 = 69
5) 75th Percentile= Quartile 3 (Q3) which is the median of the second set of data
∴ 75th Percentile = (89+89)/2 = 89
6) Maximum = 97
7) Minimum = 32
8) Range = Maximum - Minimum = 97 - 32 = 65
9) IQR (interquartile range) = Q3 - Q1 = 89 - 69 = 20
