To solve this problem, we need to use the relationship between the standard deviation, coefficient of variation, and arithmetic mean of a distribution. The coefficient of variation (CV) is given as a percentage and is defined by the formula:
\(CV = \left(\frac{\text{Standard Deviation}}{\text{Arithmetic Mean}}\right) \times 100\)
We are given the standard deviations and the coefficients of variations for two distributions:
- First distribution: Standard deviation = 21, CV = 60
- Second distribution: Standard deviation = 14, CV = 70
We can rearrange the formula to find the arithmetic mean:
\(\text{Arithmetic Mean} = \frac{\text{Standard Deviation} \times 100}{\text{CV}}\)
Calculation for the first distribution:
Plug the values into the formula:
\(\text{Arithmetic Mean}_1 = \frac{21 \times 100}{60} = 35\)
Calculation for the second distribution:
Again, plug the values into the formula:
\(\text{Arithmetic Mean}_2 = \frac{14 \times 100}{70} = 20\)
Thus, the arithmetic means for the two distributions are 35 and 20 respectively, which corresponds to the option 35, 20.
Therefore, the correct answer is:
| 35, 20 |
Similar Questions
Match List - I with List - II. Suppose A, B and C are three non-empty sets.
List - I List - II A. De-Morgan's Law I. $A \setminus B = A \cap B^C$ B. Associative Law II. $(A \cup B)^C = A^C \cap B^C$ C. Distributive Law III. $A \cup (B \cap C) = (A \cup B) \cap (A \cup C)$ D. Difference of sets Law IV. $(A \cup B) \cup C = A \cup (B \cup C)$ Choose the correct answer from the options given below :
Match List - I with List - II.
List - I List - II A. Domain of function $f(x) = \frac{1}{\sqrt{x^2 - 1}}$ I. $[2, \infty)$ B. Range of function $f(x) = \frac{1}{\sqrt{x^2 - 1}}$ II. $(-\infty, -1) \cup (1, \infty)$ C. Domain of function $f(x) = \sqrt{x - 2}$ III. $(0, \infty)$ D. Range of function $f(x) = \sqrt{x - 2}$ IV. $[0, \infty)$ Choose the correct answer from the options given below :
Match List - I with List - II on the basis of relationship.
List - I List - II A. Complement operation I. all possible subsets B. Power set operation II. tuples (ordered) C. Cartesian product III. universal set D. Union and intersection IV. difference (symmetric) Choose the correct answer from the options given below :
- In a small factory one supervisor and four labourers work. The labourers draw salary of ₹ 5000/- per month each while supervisor gets ₹ 15000/- per month. Which of the following are mean and mode of the salaries ?
- When a Coin is tossed twice which of the following is the probability of getting both tails ?
- When a dice of six faces {1, 2, 3, 4, 5, 6} is thrown, which of the following is the probability of getting even number ?
- Which of the following in the variance of the data ?
6, 8, 10, 12, 14, 16, 18, 20, 22, 24 - For the given dataset :
$\begin{array}{cc} x & f(x) \\ \hline 2 & 1/4 \\ 3 & 1/2 \\ 4 & 1/4 \end{array}$
Which of the following is the expected value of $x$ ? - When a Coin having head and tail is thrown, which of the following is probability of not getting head ?
- The standard deviation for the following data is :
$\begin{array}{|c|c|c|c|c|c|} \hline x_i & 3 & 8 & 13 & 18 & 23 \\ \hline f_i & 7 & 10 & 15 & 10 & 6 \\ \hline \end{array}$
Important Questions from Mixed Topic (CUET PG)
- Who was the founder of Bolshevik Communist party?
- What is the key guide to statecraft in the realist tradition?
- Chronologically arrange the events in the Cold War period.
A. Berlin Wall is constructed
B. Communist China joins the UN
C. Soviet invasion of Czechoslovakia
D. Berlin Blockade
Choose the correct answer from the options given below: Morgenthau's principles of political realism are:
A. Politics is rooted in permanent and unchanging human nature which is basically self centred, self-regarding and self-interested
B. Politics is an autonomous sphere of action and cannot therefore be reduced to morals
C. International Politics is an arena of conflicting self-interests
D. The ethics of international relations is situational ethics which is very different from private morality
Choose the correct answer from the options given below:Who among the following political thinkers consider the anarchical self help system to be a compelling factor for States to maximise their relative power positions?
