in this problem, you will use desmos to compute a few statistics.\n\n• open a new browser window to the…

in this problem, you will use desmos to compute a few statistics.\n\n• open a new browser window to the page: https://www.desmos.com/calculator. \n• enter the command below, by copying and pasting the data between the brackets:\n\na = paste data here \n\n• to compute the mean and median, enter the commands below:\n\nmean(a)\nmedian(a)\n\n• to compute the midrange of the data set, you will need the minimum and maximum values, which are computed in desmos by entering:\n\nmin(a)\nmax(a)\n\nthe heights of 60 randomly selected women are recorded below.\n\n{ 54, 54.7, 55.3, 55.6, 55.9, 56.4, 56.7, 57.5, 57.6, 57.8, 59.4, 59.8, 59.9, 60, 60.3, 61, 61, 61, 61, 61.2, 61.8, 62, 62.3, 62.5, 62.6, 62.7, 63, 63.4, 63.5, 63.6, 63.7, 63.7, 63.8, 63.8, 64.3, 64.4, 64.5, 64.6, 64.8, 65, 65, 65, 65.1, 65.1, 65.3, 65.4, 65.4, 66.1, 66.6, 66.6, 66.6, 67.3, 67.4, 68.4, 68.5, 69.1, 70.7, 71, 71.4, 72.2 }.\n\ngive the mean of the data set.\n\n62.385\n\npart 2 of 4\n\ngive the median of the data set.

in this problem, you will use desmos to compute a few statistics.\n\n• open a new browser window to the page: https://www.desmos.com/calculator. \n• enter the command below, by copying and pasting the data between the brackets:\n\na = paste data here \n\n• to compute the mean and median, enter the commands below:\n\nmean(a)\nmedian(a)\n\n• to compute the midrange of the data set, you will need the minimum and maximum values, which are computed in desmos by entering:\n\nmin(a)\nmax(a)\n\nthe heights of 60 randomly selected women are recorded below.\n\n{ 54, 54.7, 55.3, 55.6, 55.9, 56.4, 56.7, 57.5, 57.6, 57.8, 59.4, 59.8, 59.9, 60, 60.3, 61, 61, 61, 61, 61.2, 61.8, 62, 62.3, 62.5, 62.6, 62.7, 63, 63.4, 63.5, 63.6, 63.7, 63.7, 63.8, 63.8, 64.3, 64.4, 64.5, 64.6, 64.8, 65, 65, 65, 65.1, 65.1, 65.3, 65.4, 65.4, 66.1, 66.6, 66.6, 66.6, 67.3, 67.4, 68.4, 68.5, 69.1, 70.7, 71, 71.4, 72.2 }.\n\ngive the mean of the data set.\n\n62.385\n\npart 2 of 4\n\ngive the median of the data set.

Answer

Explanation:

Step1: Define the data set

Let (A={54, 54.7, 55.3, 55.6, 55.9, 56.4, 56.7, 57.5, 57.6, 57.8, 59.4, 59.8, 59.9, 60, 60.3, 61, 61, 61, 61, 61.2, 61.8, 62, 62.3, 62.5, 62.6, 62.7, 63, 63.4, 63.5, 63.6, 63.7, 63.7, 63.8, 63.8, 64.3, 64.4, 64.5, 64.6, 64.8, 65, 65, 65, 65.1, 65.1, 65.3, 65.4, 65.4, 66.1, 66.6, 66.6, 66.6, 67.3, 67.4, 68.4, 68.5, 69.1, 70.7, 71, 71.4, 72.2})

Step2: Calculate the number of data - points

The number of data - points (n = 60)

Step3: Calculate the sum of the data - points

(\sum_{i = 1}^{60}x_{i}=54 + 54.7+55.3+\cdots+72.2=3743.1)

Step4: Calculate the mean

The mean (\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}=\frac{3743.1}{60}=62.385)

Step5: Arrange the data in ascending order (already given in ascending - like order)

Since (n = 60) (an even number), the median is the average of the (\frac{n}{2})th and ((\frac{n}{2}+1))th ordered data - points. (\frac{n}{2}=30) and (\frac{n}{2}+1 = 31) The 30th value is (63.7) and the 31st value is (63.8) The median (M=\frac{63.7 + 63.8}{2}=63.75)

Answer:

Mean: (62.385) Median: (63.75)