This is from my practice test I need help on b,c I dont knowwhere to begin. Plea

Question

This is from my practice test I need help on b,c I dont knowwhere to begin. Please answer with detail explanation. I mean Ihave the answer, but i need to learn how to do it.

The following table summarizes a sample of measurements.

x= 8.51

s=3.5

Sample value, x

1.2

1.3

3.2

1.7

5

6.1

7

6.4

8.1

9.2

Frequency of Occurrence

6

2

3

4

2

10

6

25

21

10

  

b)    Find the measurement within 2 standarddeviations of themean.           

c)     Find the measurement within 3 standarddeviations of the mean.

Sample value, x

1.2

1.3

3.2

1.7

5

6.1

7

6.4

8.1

9.2

Frequency of Occurrence

6

2

3

4

2

10

6

25

21

10

Explanation / Answer

Given that X-bar = 8.51 and s = 3.5 the measurement within 2 standard deviations of the mean isgiven by x-bar±2s = 8.51±2(3.5)                                                                                                                        =(1.51, 15.51)     c) The measurement within 3 standard deviations of themean. is given by x-bar±3s = 8.51±3(3.5)                                                                                                                        =(-1.99, 19.01)                                                                                                                           =(-1.99, 19.01)   

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