Look at the two histograms below. Each involves the same number of data. The data are all whole numbers, so the height of each bar represents the number of values equal to the corresponding midpoint shown on the horizontal axis. Notice that both distributions are symmetric. (i) (ii) 4 4 3 3 2 1+ 1 4 6 7 9 10 4 7 8 9 10 (a) Estimate the mode, median, and mean for each histogram. (ii) (i) mode median mean (b) Which distribution has the larger standard deviation? Why? O Distribution (i), because more of the data are farther from the mean. O Distribution (ii), because more of the data are farther from the mean. O Distribution (i), because more of the data are closer to the mean. O Distribution (ii), because more of the data are closer to the mean. kouenbes

A County Board of Supervisors has appointed an urban planning committee to evaluate proposed community development projects. The committee is analyzing, among other things, data on household incomes in two cities within the county. They have collected data on the income of 77 households in each of the two cities. The histograms below show the distributions of the two sets of incomes (in thousands of dollars). Each histogram shows household income on the horizontal axis and number of households on the vertical axis. The means and standard deviations for the data sets are also given. City A City B 25+ 20+ 15+ 10+ 5- ← 10 20 30 40 50 60 70 80 90 100 City A mean: 73.96 thousand dollars City A standard deviation: 20.30 thousand dollars Explanation 25- 20- 15- 104 5+ 10 (a) Identify the data set for which it is appropriate to use the Empirical Rule. It is appropriate to use the Empirical Rule for the (Choose one) ▼ data set. 20 30 The committee wants to use the Empirical Rule to make some…

The following data are the scores of  19  students on an algebra test. 62 ,  84 ,  87 ,  92 ,  55 ,  75 ,  85 ,  63 ,  58 ,  70 ,  60 ,  86 ,  95 ,  61 ,  92 ,  65 ,  84 ,  75 ,  64 Send data to calculator Send data to Excel Using the tool provided, construct a box-and-whisker plot (sometimes called a boxplot) for the data.             55 60 65 70 75 80 85 90 95 Score on algebra test

The following table presents the daily high temperatures for the city of Macon, Georgia, in degrees Fahrenheit, for the winter months of January and February in a recent year. 58 51 71 58 59 67 52 73 64 64 58 67 53 53 63 75 76 61 52 52 68 67 48 55 69 63 58 56 56 63 74 65 57 53 48 70 76 51 65 60 61 Send data to Excel Construct a stem-and-leaf plot, using the digits 4, 5, 6, and 7 as the stems. Do not separate the answers with a comma. If there are no leaves, select the "None" button. 4 None 5 5 6 7 8 ME ›

b. Calculate the range. Range= c. Calculate the interquartile range, IQR. IQR= d. State whether the distribution is symmetric, skewed left, or skewed right. Symmetric Skewed left Skewed right e. Would you expect the mean to be greater than, equal, or less than the median? Equal Greater than Less than

The following table presents the daily high temperatures for the city of Macon, Georgia, in degrees Fahrenheit, for the winter months of January and February in a recent year. 67 52 73 58 51 71 58 59 64 64 58 67 53 53 63 75 76 61 52 52 68 67 48 55 69 63 58 56 56 63 74 65 57 53 48 70 76 51 65 60 61 Send data to Excel Construct a stem-and-leaf plot, using the digits 4, 5, 6, and 7 as the stems. Do not separate the answers with a comma. If there are no leaves, select the "None" button. 4 None 5 6 S 7 X

What are the most likely values of r for each plot of data shown below? Figure 1 *AT THE TOP r = -0.5 r = 0 r= 0.5 r = 1 ? Answer: Figure 2 *AT THE Bottom  r = -0.5 r = 0 r= 0.5 r = 1 ? Answer: