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Artemon [7]
3 years ago
13

Professor Ivy has following scores on her final exams: 97 88 66 55 89 72 94 32 84 89 72 76 77 Express answers rounded correctly

to the nearest tenth
Mathematics
1 answer:
Gre4nikov [31]3 years ago
7 0

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

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