Teachoo MCQ Test

Short Quiz

Chapter 13 Class 11 Statistics | 5 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 480
Question 1 of 5
Advertisement
Question 1 of 5
Calculate standard deviation for the discrete distribution: $$\begin{array}{|c|c|c|c|c|c|} \hline x_i & 3 & 8 & 13 & 18 & 23 \\ \hline f_i & 7 & 10 & 15 & 10 & 6 \\ \hline \end{array}$$ (Given \(N = 48\))
Select one option. Answers are shown after the test.
Question 2 of 5
A financial analyst defines a portfolio return \(Y = 4X + 7\), where \(X\) represents daily asset returns with a variance \(\sigma_X^2 = 5\). Calculate the variance of \(Y\) (\(\sigma_Y^2\)).
Select one option. Answers are shown after the test.
Question 3 of 5
A logistics center must be located along a highway at coordinate \(a\) to minimize total travel distance \(\sum_{i=1}^{5} |x_i - a|\) to five retail outlets located at coordinates \(x = 3, 7, 11, 19, 25\). Calculate the optimal location \(a\) and the resulting minimum total distance.
Select one option. Answers are shown after the test.
Question 4 of 5
The standard deviation of \(x_1, x_2, \dots, x_n\) is \(\sigma_x = 6\). Calculate the standard deviation of \(y_i = -2x_i + 5\).
Select one option. Answers are shown after the test.
Question 5 of 5
A dataset of \(n = 9\) observations has variance \(\sigma^2 = 20\). An additional \(10^{\text{th}}\) observation equal to the mean \(\bar{x}\) is added to the dataset. Calculate the new variance \(\sigma_{\text{new}}^2\).
Select one option. Answers are shown after the test.