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Get Full Access to Elementary Statistics - 12 Edition - Chapter 3.3 - Problem 20bsc
Get Full Access to Elementary Statistics - 12 Edition - Chapter 3.3 - Problem 20bsc

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# Answer: In Exercise, find the range, variance, and ISBN: 9780321836960 18

## Solution for problem 20BSC Chapter 3.3

Elementary Statistics | 12th Edition

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Problem 20BSC

Problem 20BSC

In Exercise, find the range, variance, and standard deviation for the given sample data. Include appropriate units (such as “minutes”) in your results. (The same data were used in Section 3-2 where we found measures of center. Here we find measures of variation.) Then answer the given questions.

Phenotypes of Peas Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotype codes, where 1 = smooth-yellow, 2 = smooth-green, 3 = wrinkled-yellow, and 4 = wrinkled-green. Can the measures of center be obtained for these values? Do the results make sense?

2 1 1 1 1 1 1 4 1 2 2 1 2 3 3 2 3 1 3 1 3 1 3 2 2

Step-by-Step Solution:
Step 1 of 3

Problem 20BSC

Step1 of 3:

We have Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotype codes, where 1 = smooth-yellow, 2 = smooth-green, 3 = wrinkled-yellow, and 4 = wrinkled-green.

 2 1 1 1 1 1 1 4 1 2 2 1 2 3 3 2 3 1 3 1 3 1 3 2 2

Step2 of 3:

We need to find the range, variance, and standard deviation for the given sample data. Include appropriate units (such as “minutes”) in your results. (The same data were used in Section 3-2 where we found measures of center. Here we find measures of variation.) Then answer the given questions.

Step3 of 3:

1).Range can be calculated by using the formula Range = maximum value - minimum value

The given data in Ascending order

 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 4

Here,

Maximum value = 4

Minimum value = 1

Now,

Range =  maximum value - minimum value

= 4 - 1

= 3

Therefore, Range = 3

2).consider,

 x (x - )2 1 1.88 0.7744 1 1.88 0.7744 1 1.88 0.7744 1 1.88 0.7744 1 1.88 0.7744 1 1.88 0.7744 1 1.88 0.7744 1 1.88 0.7744 1 1.88 0.7744 1
Step 2 of 3

Step 3 of 3

##### ISBN: 9780321836960

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