Find the range, variance, and standard deviation for the given sample data, if possible. If the measures of variation can be obtained for these values, do the results make sense?
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 1equalssmooth-yellow, 2equalssmooth-green, 3equalswrinkled yellow, and 4 equalswrinkled-green.
1 1 4 1 3 1 3 3 2 2 2 3 1 2 2 2 2 2 2 2
Can the range of the sample data be obtained for these values? Choose the correct answer below and, if necessary, fill in the answer box within your choice.
A. The standard deviation of the sample data is nothing. (Round to one decimal place as needed.)
B. The standard deviation of the sample data cannot be calculated. Can the variance of the sample data be obtained for these values?

Choose the correct answer below and, if necessary, fill in the answer box within your choice.
A. The variance of the sample data is nothing. (Round to one decimal place as needed.)
B. The variance of the sample data cannot be calculated.

Do the results makesense?
A. The measures of variation do not make sense because the standard deviation cannot be greater than the variance.
B. While the measures of variation can be found, they do not make sense because the data are nominal; they don't measure or count anything.
C. The measures of variation make sense because the data is numeric, so the spread between the values is meaningful.
D. It makes sense that the measures of variation cannot be calculated because there is not a large enough sample size to calculate the measures of variation.

C. The measures of variation make sense because the data is numeric, so the spread between the values is meaningful.

Step-by-step explanation:

Categories               X        x-x`      (x-x`)²

1                                 5         0          0

2                                10        5          25

3                                4         -1            1

4                                1           -4         16

                            ∑x= 20 ∑x-x` =0  ∑ (x-x`)²=42

Yes the range for these values can be obtained as range gives the idea of the spread of the values and is simply the difference between the largest and smallest value . The range of this data is 10-1= 9

The standard deviation is given by  √∑(x-x`)²/n

where x` is the mean and is calculated as = 20/4=5  

and n is the number of observations

S.D= √42/4 =√10.5= 3.24

And Variance is 10.5

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.