Answer:
The rest of the question:
<u>Find </u>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
<u>1) Mean</u> 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)
<u>2) Median</u> is the middle data point = 77
<u>3) Mode</u> 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:
<u>(32 55 </u><u>66 72</u><u> 72 76) </u> 77 <u>(84 88 </u><u>89 89</u><u> 94 97) </u>
<u>4) 25th Percentile </u>= Quartile 1 (Q1) which is the median of the first set of data
∴ 25th Percentile = (66+72)/2 = 138/2 = 69
<u>5) 75th Percentile</u>= Quartile 3 (Q3) which is the median of the second set of data
∴ 75th Percentile = (89+89)/2 = 89
<u>6) Maximum</u> = 97
<u>7) Minimum</u> = 32
<u>8) Range</u> = Maximum - Minimum = 97 - 32 = 65
<u>9) IQR (interquartile range)</u> = Q3 - Q1 = 89 - 69 = 20
