/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q32.2-2ITD. Next, we鈥檒l calculate the mean... [FREE SOLUTION] | 91影视

91影视

Next, we鈥檒l calculate the mean and standard deviation for each variable. (a) The mean( x ) is the sum of the data values divided by n, the number of observations:. Calculate the mean number of miRNAs (x ) and the mean number of cell types ( x-) and enter them in the data table (for y, replace each x in the formula with a y). (b) Next, calculate ( xi-x) and ( yi-y) for each observation, recording your results in the appropriate column. Square each of those results in the appropriate column. Square each of those results to complete the (xi-x)2and (yi-y)2 columns; sum the results for those columns. (c) The standard deviation, s, which describes the variation found in the data, is calculated using the following formula:

sx=1n-1(xi-x)2

Calculate sx and sy by substituting the results in (b) into the formula for the standard deviation.

Short Answer

Expert verified

Data from the study:

Animal Phylum

I

No. of miRNAs (xi)

(xi-x)

(xi-x)2

No. of Cell Types (yi)

(yi-y)

(yi-y)2

(xi-x)(yi-y)

Porifera

1

5.8

-37.95

1440.2

25

-42.22

1782.52

Platyhelminthes

2

35

-8.75

76.56

30

-37.22

1385.32

Cnidaria

3

2.5

-41.25

1701.5

34

-33.22

1103.5

Nematoda

4

26

-17.75

315.06

38

-29.22

853.8

Echinodermata

5

38.6

-5.15

26.52

45

-22.22

493.72

Cephalochordata

6

33

-10.75

115.56

68

0.78

0.608

Arthropoda

7

59.1

15.35

15.35

73

5.78

33.40

Urochordata

8

25

-18.75

351.56

77

9.78

95.64

Mollusca

9

50.8

7.05

49.7

83

15.78

249.00

Annelida

10

58

14.25

203.06

94

26.78

717.16

Vertebrata

11

147.5

103.75

10764.06

172.5

105.28

11083.87

x=43.75

sx=38.80

=15285.4

y=67.22

sy=42.18

=17798.45

(a) x=43.75 and y=67.22

(b) The values for each observation are calculated and inserted in the table.

(c) sx=38.80 and sy=42.18

Step by step solution

01

Explanation for (a)

The mean number of miRNA is calculated using the formula:

x=xin

Substituting the values of xiand n in the equation:

x=(5.8+35+2.5+26+38.6+33+59.1+25+50.8+58+147.5)11=43.75

The mean number of cell types is calculated using the formula:

y=yin

Substituting the values of yiand n in the equation:

y=(325+375+550+850+1000+1200+1400+1350)8=881.25

02

Explanation for (b)

(xi-x) and (yi-y) is calculated for each observation by subtracting each ith observation from the mean. The values of each observation are then squared to obtain (xi-x)2and (yi-y)2 .

03

Explanation for (c)

The standard deviation (sx)is calculated by the formula:

sx=1n-1(xi-x)2

Substituting the values from the table into the equation:

sy=18-1(309414.06+256289.06+109725.56+976.56+14101.56+101601.56+269101.56+219726.56)=1280936.487=427.77

The standard deviation (sy)is calculated by the formula:

sy=1n-1(yi-y)2

Substituting the values from the table into the equation:

sy=111-117798.45=17798.4510=42.18

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.