In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set.
9, 17, 10, 15, 6
(a) Use the defining formula, the computation formula, or a
calculator to compute s. (Enter your answer to one decimal
place.)
(b) Add 2 to each data value to get the new data set 11, 19, 12,
17, 8. Compute s. (Enter your answer to one decimal
place.)
(c) Compare the results of parts (a) and (b). In general, how do
you think the standard deviation of a data set changes if the same
constant is added to each data value?
Adding the same constant c to each data value results in the standard deviation remaining the same.Adding the same constant c to each data value results in the standard deviation increasing by c units. Adding the same constant c to each data value results in the standard deviation decreasing by c units.There is no distinct pattern when the same constant is added to each data value in a set.
a)
from above s =4.5
b)
s =4.5
c)
Adding the same constant c to each data value results in the standard deviation remaining the same
In this problem, we explore the effect on the standard deviation of adding the same constant...
In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set. 13, 10, 5, 7, 13 (a) Use the defining formula, the computation formula, or a calculator to compute s. (Enter your answer to one decimal place.) ? (b) Add 8 to each data value to get the new data set 21, 18, 13, 15, 21. Compute s. (Enter your answer to...
In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set data set is 8,11,11,7,11 a. Use the defining formula, the computation formula, or a calculator to compute s. (Enter your answer to one decimal place) b.Add 5 to each data value to get the new data set 13, 16, 16, 12, 16. Compute s. (Enter your answer to one decimal place.)
In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set. 16, 4, 10, 15, 7 (a) Use the defining formula, the computation formula, or a calculator to compute s. (Enter your answer to one decimal place.) (b) Add 4 to each data value to get the new data set 20, 8, 14, 19, 11. Compute s. (Enter your answer to one...
In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set. 16, 4, 10, 15, 7 (a) Use the defining formula, the computation formula, or a calculator to compute s. (Enter your answer to one decimal place.) (b) Add 4 to each data value to get the new data set 20, 8, 14, 19, 11. Compute s. (Enter your answer to one...
0.34/1 pointsI Previous Answers BBUnderStat12 32.010 ty Nots In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set 10, 4, 17, 4, 14 (a) Use the defining formula, the computation formula, or a calculator to compute s. (Enter your answer to one decimal place.) (b) Add 2 to each data value to qet the new data set 12, 6, 19, 6,...
In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. Consider the data set 17, 5, 10, 9, 4. (a) Use the defining formula, the computation formula, or a calculator to compute s. (Round your answer to one decimal place.) s = (b) Multiply each data value by 3 to obtain the new data set 51, 15, 30, 27, 12. Compute s. (Round your answer to...
In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. Consider the data set 7, 8, 12, 7, 13. (a) Use the defining formula, the computation formula, or a calculator to compute s. (Round your answer to one decimal place.) S = (b) Multiply each data value by 8 to obtain the new data set 56, 64, 96, 56, 104. Compute s. (Round your answer to...
BBUnderStat 12 3.2.011 In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. Consider the data set 6, 11, 15, 12, 14 (a) Use the defining formula, the computation formula, or a calculator to compute s. (Round your answer to one decimal place.) (b) Multiply each data value by 3 to obtain the new data set 18, 33, 45, 36, 42. Compute s. (Round your answer...
In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. Consider the data set 5, 9, 7, 11, 4. (a) Use the defining formula, the computation formula, or a calculator to compute s. (Round your answer to one decimal place.) (b) Multiply each data value by 4 to obtain the new data set 20, 36, 28, 44, 16. Compute s. (Round your answer to one decimal...
In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. Consider the dataset 7, 11, 4, 13, 17. (a) Use the defining formula, the computation formula, or a calculator to compute. (Round your answer to one decimal place) (6) Multiply each data value by to obtain the new data set 56, 58, 32, 104, 136. Compute. (Round your answer to one decimal place.) (C) Compare the...