Suppose you wish to describe the data represented in the above histogram using a measure of spread. Which measure is preferable? Select one: O a. IQR O b. Median O c. Standard deviation O d. Skewness O e. MeanSuppose you wish to describe the data represented in the above histogram using a measure of location. Which measure is preferable? Select one: O a. Skewness O b. Standard deviation O c. Median O d. Mean O e. IQRConsider 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 skewed to the left O b. The distribution is skewed to the right O c. The distribution is negatively skewed O d. The distribution is positively skewed O e. The distribution is roughly symmetricBelow 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 0.6, -0.66, -0.93, -0.21, 0.86, and 0.29. 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 = -0.21; B: r = -0.93; C: r = 0.6; D: r = 0.29; E: r = 0.86; F:r = -0.66 O b. A: r = -0.21; B: r = -0.66; C:r = -0.93; D: r = 0.29; E: r = 0.86; F: r = 0.6 O c. A:r = -0.21; B:r = 0.6; C:r = -0.93; D: r = 0.29; E: r = 0.86; F: r = -0.66 Od. A: r = -0.21; B: r = 0.6; C:r = -0.93; D: r = 0.86; E: r = 0.29; F: r = -0.66 O e. A: r = 0.6; B:r = -0.21; C:r = -0.93; D: r = 0.29; E: r = 0.86; F: r = -0.66Consider the distribution of the data represented in the above histogram. Based on the histogram, which of the below statements is/are true? Select one or more: O a. The distribution is negatively skewed O b. The distribution is skewed to the right O c. The distribution is positively skewed O d. The distribution is roughly symmetric O e. The distribution is skewed to the leftSuppose a sample of n = 65 students were asked their height in cm. Some summary statistics are provided below. You will need one or more of these to answer the question that follows. . Mean = 167.99 . Standard deviation = 10.963 . Variance = 120.198 . Q1 = 160.281 . Q2 = 168.983 . Q3 = 176.046 What is the IQR? Where relevant, round your answer to three decimal places. Answer:Suppose a sample of n. = 81 observations was taken and the sample standard deviation was calculated to be 2.6. What is the sample variance? Where relevant, round your answer to three decimal places. Answer: The 62% quantile could equivalently be expressed as the... Select one or more: O a. 62% percentile O b. 0.62th percentile O c. 0.62th quantile O d. 62th quantileThe median is also known as .. Select one or more: O a. Q3 O b. The 0.5th percentile O c. The mean O d. Q2 De. The 0.5th quantileConsider the following sample of numbers: 5,13,7,15,9,4 Using the above sample. answer the following questions. Where relevant, round your answer to three decimal places. a. What is the mean? b. What is the median