Consider the following sample of numbers: 4, 2, 7, 16, 14, 3 Using the above sample, answer the following questions. Where relevant, round your answer to three decimal places. a. What is the mean? S b. What is the median? Suppose you wish to describe the data represented in the above histogram using a measure of spread. Which measure is preferable? Select one: Q a. Standard deviation 0 b. Median O c. Skewness Suppose you wish to describe the data represented in the above histogram using a measure of location. Which measure is preferable? Select one: Q a. Standard deviation 0 b. Skewness O c. IQR Q d. Median 0 e. Mean Consider the distribution of the data represented in the above boxplot. Based on the boxplot, which of the below statements is/are true? Select one or more: O a. The distribution is roughly symmetric O b. The distribution is negatively skewed O c. The distribution is skewed to the right O d. The distribution is skewed to the left O e. The distribution is positively skewedBelow are six different scatterplots. These scatterplots are labelled 'Scatterplot A', 'Scatterplot B', 'Scatterplot C', 'Scatterplot D', 'Scatterplot E' and 'Scatterplot F', respectively. Note that in the answers below, they are referred to in abbreviated fashion, i.e. 'A', 'B', 'C', 'D', E', and 'F' respectively. Scatterplot A Scatterplot B Scatterplot C Scatterplot D Scatterplot E Scatterplot F In a random order, the correlations (r) associated with these scatterplots are 0.92, 0.66, -0.95, -0.2, -0.67, and 0.27. Your task is to study the scatterplots and then to match each scatterplot with its correct correlation. Each correlation belongs to just one scatterplot. When you are confident with your answers then choose the correct choice below. Select one: O a. A: r = 0.27; B: r = -0.67; C:r = 0.92; D: r = 0.66; E: r = -0.2; F: r = -0.95 O b. A: r = -0.67; B: r = -0.95; C:r = 0.92; D: r = 0.66; E: r = -0.2; F: r = 0.27 O C. A: r = -0.67; B: r = 0.27; C: r = 0.92; D: r = -0.2; E: r = 0.66; F: r = -0.95 O d. A:r = -0.67; B: r = 0.92; C: r = 0.27; D: r = 0.66; E: r = -0.2; F: r = -0.95 O e. A:r = -0.67; B: r = 0.27; C: r = 0.92; D: r = 0.66; E: r = -0.2; F: r = -0.95Consider the distribution of the data represented in the above histogram. Based on the histogram, which of the below statements isi'are true? Select one or more: III a. The distribution is negatively skewed [I b. The distribution is roughly symmetric [_l c. The distribution is positively skewed ['1 d. The distribution is skewed to the left [I e. The distribution is skewed to the right Suppose a sample of to. = 90 students were asked their height in om. Some summary statistics are provided below. You will need one or more of these to answer the question that follows. . Mean =172.015 . Standard deviation = 9.563 . Variance = 93.382 . Q1 : 165.985 . 02 = 171.586 ' 03 =179.147 What is the IQR? Where relevant. round your answer to three decimal places. Answer: Suppose a sample of n. = 68 observations was taken and the sample variance was calculated to be 665.641 What is the sample standard deviation? Where relevant, round your answer to three decimal places. Answer: The 97% quantile could equivalently be expressed as the.. Select one or more: O a. 97th percentile b. 0.97th percentile O c. 0.97th quantile O d. 97th quantileThe median is also known as . Select one or more: O a. Q4 O b. The 50% percentile O c. The IQR O d. The 0.5th percentile O e. Q2