Determine the variance.

Question

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Answer 1

Question

Chapter 4.2, Problem 32E

(a)

To determine

Determine the variance.

(a)

Expert Solution

Explanation of Solution

Table–1 shows the sample as follows:

Table-1

People	Sample
1	17
2	29
3	12
4	16
5	11

Mean=∑xin=17+29+12+16+115=855=17

Thus, the value of mean is 17.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(17−17)2+(29−17)2+(12−17)2+(16−17)2+(11−17)25−1=0+144+25+1+364=2064=51.5

Thus, the value of variance for sample is 51.5.

(b)

To determine

Determine the variance.

(b)

Expert Solution

Explanation of Solution

Table–2 shows the sample as follows:

Table-2

People	Sample
1	22
2	18
3	23
4	20
5	17

Mean=∑xin=22+18+23+20+175=1005=20

Thus, the value of mean is 20.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(22−20)2+(18−20)2+(23−20)2+(20−20)2+(17−20)25−1=4+4+9+0+94=264=6.5

Thus, the value of variance for sample is 6.5.

(c)

To determine

Determine the variance.

(c)

Expert Solution

Explanation of Solution

Table–3 shows the sample as follows:

Table-3

People	Sample
1	24
2	37
3	6
4	39
5	29

Mean=∑xin=24+37+6+39+295=1355=27

Thus, the value of mean is 27.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(24−27)2+(37−27)2+(6−27)2+(39−27)2+(29−27)25−1=9+100+441+144+44=6984=174.5

Thus, the value of variance for sample is 174.5.

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Answer 2

Question

Chapter 4.2, Problem 32E

(a)

To determine

Determine the variance.

(a)

Expert Solution

Explanation of Solution

Table–1 shows the sample as follows:

Table-1

People	Sample
1	17
2	29
3	12
4	16
5	11

Mean=∑xin=17+29+12+16+115=855=17

Thus, the value of mean is 17.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(17−17)2+(29−17)2+(12−17)2+(16−17)2+(11−17)25−1=0+144+25+1+364=2064=51.5

Thus, the value of variance for sample is 51.5.

(b)

To determine

Determine the variance.

(b)

Expert Solution

Explanation of Solution

Table–2 shows the sample as follows:

Table-2

People	Sample
1	22
2	18
3	23
4	20
5	17

Mean=∑xin=22+18+23+20+175=1005=20

Thus, the value of mean is 20.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(22−20)2+(18−20)2+(23−20)2+(20−20)2+(17−20)25−1=4+4+9+0+94=264=6.5

Thus, the value of variance for sample is 6.5.

(c)

To determine

Determine the variance.

(c)

Expert Solution

Explanation of Solution

Table–3 shows the sample as follows:

Table-3

People	Sample
1	24
2	37
3	6
4	39
5	29

Mean=∑xin=24+37+6+39+295=1355=27

Thus, the value of mean is 27.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(24−27)2+(37−27)2+(6−27)2+(39−27)2+(29−27)25−1=9+100+441+144+44=6984=174.5

Thus, the value of variance for sample is 174.5.

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Answer 3

Question

Chapter 4.2, Problem 32E

(a)

To determine

Determine the variance.

(a)

Expert Solution

Explanation of Solution

Table–1 shows the sample as follows:

Table-1

People	Sample
1	17
2	29
3	12
4	16
5	11

Mean=∑xin=17+29+12+16+115=855=17

Thus, the value of mean is 17.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(17−17)2+(29−17)2+(12−17)2+(16−17)2+(11−17)25−1=0+144+25+1+364=2064=51.5

Thus, the value of variance for sample is 51.5.

(b)

To determine

Determine the variance.

(b)

Expert Solution

Explanation of Solution

Table–2 shows the sample as follows:

Table-2

People	Sample
1	22
2	18
3	23
4	20
5	17

Mean=∑xin=22+18+23+20+175=1005=20

Thus, the value of mean is 20.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(22−20)2+(18−20)2+(23−20)2+(20−20)2+(17−20)25−1=4+4+9+0+94=264=6.5

Thus, the value of variance for sample is 6.5.

(c)

To determine

Determine the variance.

(c)

Expert Solution

Explanation of Solution

Table–3 shows the sample as follows:

Table-3

People	Sample
1	24
2	37
3	6
4	39
5	29

Mean=∑xin=24+37+6+39+295=1355=27

Thus, the value of mean is 27.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(24−27)2+(37−27)2+(6−27)2+(39−27)2+(29−27)25−1=9+100+441+144+44=6984=174.5

Thus, the value of variance for sample is 174.5.

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Answer 4

Question

Chapter 4.2, Problem 32E

(a)

To determine

Determine the variance.

(a)

Expert Solution

Explanation of Solution

Table–1 shows the sample as follows:

Table-1

People	Sample
1	17
2	29
3	12
4	16
5	11

Mean=∑xin=17+29+12+16+115=855=17

Thus, the value of mean is 17.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(17−17)2+(29−17)2+(12−17)2+(16−17)2+(11−17)25−1=0+144+25+1+364=2064=51.5

Thus, the value of variance for sample is 51.5.

(b)

To determine

Determine the variance.

(b)

Expert Solution

Explanation of Solution

Table–2 shows the sample as follows:

Table-2

People	Sample
1	22
2	18
3	23
4	20
5	17

Mean=∑xin=22+18+23+20+175=1005=20

Thus, the value of mean is 20.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(22−20)2+(18−20)2+(23−20)2+(20−20)2+(17−20)25−1=4+4+9+0+94=264=6.5

Thus, the value of variance for sample is 6.5.

(c)

To determine

Determine the variance.

(c)

Expert Solution

Explanation of Solution

Table–3 shows the sample as follows:

Table-3

People	Sample
1	24
2	37
3	6
4	39
5	29

Mean=∑xin=24+37+6+39+295=1355=27

Thus, the value of mean is 27.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(24−27)2+(37−27)2+(6−27)2+(39−27)2+(29−27)25−1=9+100+441+144+44=6984=174.5

Thus, the value of variance for sample is 174.5.

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Answer 5

Chapter 4.2, Problem 32E

(a)

To determine

Determine the variance.

(a)

Expert Solution

Explanation of Solution

Table–1 shows the sample as follows:

Table-1

People	Sample
1	17
2	29
3	12
4	16
5	11

Mean=∑xin=17+29+12+16+115=855=17

Thus, the value of mean is 17.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(17−17)2+(29−17)2+(12−17)2+(16−17)2+(11−17)25−1=0+144+25+1+364=2064=51.5

Thus, the value of variance for sample is 51.5.

(b)

To determine

Determine the variance.

(b)

Expert Solution

Explanation of Solution

Table–2 shows the sample as follows:

Table-2

People	Sample
1	22
2	18
3	23
4	20
5	17

Mean=∑xin=22+18+23+20+175=1005=20

Thus, the value of mean is 20.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(22−20)2+(18−20)2+(23−20)2+(20−20)2+(17−20)25−1=4+4+9+0+94=264=6.5

Thus, the value of variance for sample is 6.5.

(c)

To determine

Determine the variance.

(c)

Expert Solution

Explanation of Solution

Table–3 shows the sample as follows:

Table-3

People	Sample
1	24
2	37
3	6
4	39
5	29

Mean=∑xin=24+37+6+39+295=1355=27

Thus, the value of mean is 27.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(24−27)2+(37−27)2+(6−27)2+(39−27)2+(29−27)25−1=9+100+441+144+44=6984=174.5

Thus, the value of variance for sample is 174.5.

Answer 6

Chapter 4.2, Problem 32E

(a)

To determine

Determine the variance.

(a)

Expert Solution

Explanation of Solution

Table–1 shows the sample as follows:

Table-1

People	Sample
1	17
2	29
3	12
4	16
5	11

Mean=∑xin=17+29+12+16+115=855=17

Thus, the value of mean is 17.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(17−17)2+(29−17)2+(12−17)2+(16−17)2+(11−17)25−1=0+144+25+1+364=2064=51.5

Thus, the value of variance for sample is 51.5.

Answer 7

Chapter 4.2, Problem 32E

(a)

To determine

Determine the variance.

Answer 8

(a)

Expert Solution

Explanation of Solution

Table–1 shows the sample as follows:

Table-1

People	Sample
1	17
2	29
3	12
4	16
5	11

Mean=∑xin=17+29+12+16+115=855=17

Thus, the value of mean is 17.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(17−17)2+(29−17)2+(12−17)2+(16−17)2+(11−17)25−1=0+144+25+1+364=2064=51.5

Thus, the value of variance for sample is 51.5.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

(b)

To determine

Determine the variance.

(b)

Expert Solution

Explanation of Solution

Table–2 shows the sample as follows:

Table-2

People	Sample
1	22
2	18
3	23
4	20
5	17

Mean=∑xin=22+18+23+20+175=1005=20

Thus, the value of mean is 20.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(22−20)2+(18−20)2+(23−20)2+(20−20)2+(17−20)25−1=4+4+9+0+94=264=6.5

Thus, the value of variance for sample is 6.5.

Answer 13

(b)

To determine

Determine the variance.

Answer 14

(b)

Expert Solution

Explanation of Solution

Table–2 shows the sample as follows:

Table-2

People	Sample
1	22
2	18
3	23
4	20
5	17

Mean=∑xin=22+18+23+20+175=1005=20

Thus, the value of mean is 20.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(22−20)2+(18−20)2+(23−20)2+(20−20)2+(17−20)25−1=4+4+9+0+94=264=6.5

Thus, the value of variance for sample is 6.5.

Answer 15

(b)

Expert Solution

Answer 16

(b)

Expert Solution

Answer 17

Expert Solution

Answer 18

(c)

To determine

Determine the variance.

(c)

Expert Solution

Explanation of Solution

Table–3 shows the sample as follows:

Table-3

People	Sample
1	24
2	37
3	6
4	39
5	29

Mean=∑xin=24+37+6+39+295=1355=27

Thus, the value of mean is 27.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(24−27)2+(37−27)2+(6−27)2+(39−27)2+(29−27)25−1=9+100+441+144+44=6984=174.5

Thus, the value of variance for sample is 174.5.

Answer 19

(c)

To determine

Determine the variance.

Answer 20

(c)

Expert Solution

Explanation of Solution

Table–3 shows the sample as follows:

Table-3

People	Sample
1	24
2	37
3	6
4	39
5	29

Mean=∑xin=24+37+6+39+295=1355=27

Thus, the value of mean is 27.

Variance can be calculated as follows:

S2=∑(xi−x¯)2n−1=(24−27)2+(37−27)2+(6−27)2+(39−27)2+(29−27)25−1=9+100+441+144+44=6984=174.5

Thus, the value of variance for sample is 174.5.

Answer 21

(c)

Expert Solution

Answer 22

(c)

Expert Solution

Answer 23

Expert Solution

Answer 24

Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E

Determine the variance.

Determine the variance.

Explanation of Solution

Determine the variance.

Explanation of Solution

Determine the variance.

Explanation of Solution

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Chapter 4 Solutions