Find sd. The differences between two sets of dependent data are 0.4, 0.24, 0.22, 0.26, 0.34. Round to the nearest hundredth.

Answers

Answer 1

The standard deviation of the data sample give the degree of spread of the data. Hence, the standard deviation of the data is 0.08

The sample standard deviation is defined as :

[tex]\sqrt {\frac{(x - \mean)^{2} }{n-1}} [/tex]

The mean :

[tex] \mean = \frac{ x_{1} + x_{2} +... + x_{n}}{n} [/tex]

[tex] \mean = \frac{0.4 + 0.24 + 0.22 + 0.26 + 0.34}{5} = 0.292[/tex]

The Variance :

[tex]\sqrt {\frac{(0.4 - 0.292)^{2} + (0.24 - 0.292)^{2} + (0.22 - 0.292)^{2} + (0.26 - 0.292)^{2} + (0.34 - 0.292)^{2}}{5 - 1}} = 0.00572[/tex]

The standard deviation :

[tex]\sqrt {\frac{(x - \mean)^{2} }{n-1}} [/tex]

[tex]\sqrt {0.00572} = 0.0756[/tex]

Therefore, the standard deviation of the data sample is 0.08.

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Related Questions

Which describes a peer review? Reading your own writing and making changes. Have your friends or fellow students read your writing and suggest changes. Have your learning coach read your writing to make changes. Reading the story to your pet.

Answers

Answer:

have your friends read and make suggestions

Explanation:

peer review means to have your classmates read your work and help you make changes.

chôm chôm có độ co giãn cung theo giá nhiều hay ít? tại sao?

Answers

anh ấy có nhiều hơn vì giá cả

FILIPINO
basahin ang teksto sa kahon dugtungan ang paungan salit bawat talata iyong pagsasalaysay

Answers

Answer:

plss pa sagot po

Explanation:

thanks sa points

plssßsss


Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the 20th, 25th,65th , and 75th percentiles

Answers

Answer:

Percentile of 20th = 20

Percentile of 25th = 22.5

Percentile of 65th = 28

Percentile of 75th = 29

Explanation:

Sort the numbers in ascending order:

15,20,25,25,27,28,30,34

i = P/100 * N ( i index is the position of the number. Index 1 = 15, index 2 = 20, and so on)

Index of the 20th percentile:

20/100 * 8 = 1.6

Round 1.6 to the next integer = 2

The second number I=20

The 20th percentile is 20

Index of the 25th percentile:

25/100 * 8 = 2

Because 2 is an integer the percentile of 25th is the average of I=20 and I=25

(20+25)/2=22.5

The 25th percentile is 22.5

Index of the 65th percentile

i = 65/100 * 8 = 26.5 = 5.2

Round to the next integer = 6

The 65th percentile is 28

Index of the 75th percentile

I = 75/100 * 8 = 6

Since 6 is an integer (28+30)/2 = 29 percentile

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question.
Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. What do the results tell us?
24 26 89 16 38 69 93 3 1 80 49

Answers

The statistical values such as mean, Median and mode gives measure of centre of a data, while the midrange gives information about the spread. Hence, the statistical measures are :

Mean = 44.36Median = 38Mode = 1, 3, 16, 24, 26, 38, 49, 69, 80, 89, 93Midrange = 46

Given the data :

1, 3, 16, 24, 26, 38, 49, 69, 80, 89, 93

Mean = [Σx ÷ n]

Mean = (24+26+89+16+38+69+93+3+1+80+49) / 11

Mean = (488 ÷ 11) = 44.36

The median :

0.5(n + 1)th term

Median = 0.5(11 + 1) = 6th term

Median = 38

The Mode :

The most frequently occurring value in a distribution ; since each the value occur just one, then there is no single mode value.

The midrange :

(maximum - minimum) / 2

Midrange = (93 - 1) / 2

Midrange = 92/2 = 46

Therefore, the midrange is the value of the range divided by 2.

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