Question

in this problem, you will use desmos to compute a few statistics. open a new browser window to the page: https://www.desmos.com/calculator. enter the command below, by copying and pasting the data between the brackets: a = paste data here to compute the mean and median, enter the commands below: mean(a) median(a) to compute the midrange of the data set, you will need the minimum and maximum values, which are computed in desmos by entering: min(a) max(a) the heights of 60 randomly selected women are recorded below. { 51.4, 52.3, 53.1, 53.5, 56.5, 56.6, 57.3, 58.2, 58.7, 58.8, 59.8, 60, 60.2, 60.2, 60.3, 60.6, 60.8, 60.8, 60.9, 61.6, 61.6, 61.7, 61.8, 61.9, 62.3, 62.4, 63.3, 63.4, 63.9, 64.2, 64.5, 64.5, 64.5, 64.7, 64.9, 65, 65, 65.2, 65.3, 65.6, 65.6, 65.8, 65.9, 66.1, 66.1, 66.3, 66.4, 67.1, 67.5, 67.6, 68.3, 68.4, 68.6, 69.1, 69.5, 69.8, 70, 70.8, 71.4, 72.8 }. give the mean of the data set. 63.615 part 2 of 4 give the median of the data set.

Explanation:

Step1: Open Desmos

Open a new browser window to https://www.desmos.com/calculator.

Step2: Input data

Copy and paste the data {51.4, 52.3, 53.1, 53.5, 56.5, 56.6, 57.3, 58.2, 58.7, 58.8, 59.8, 60, 60.2, 60.2, 60.3, 60.6, 60.8, 60.8, 60.9, 61.6, 61.6, 61.7, 61.8, 61.9, 62.3, 62.4, 63.3, 63.4, 63.9, 64.2, 64.5, 64.5, 64.5, 64.7, 64.9, 65, 65, 65.2, 65.3, 65.6, 65.6, 65.8, 65.9, 66.1, 66.1, 66.3, 66.4, 67.1, 67.5, 67.6, 68.3, 68.4, 68.6, 69.1, 69.5, 69.8, 70, 70.8, 71.4, 72.8} into the command A = [paste data here] in Desmos.

Step3: Compute median

Enter median(A) in Desmos.
The data set has 60 values. To find the median of a data - set with an even number of values, we average the two middle - ordered values. First, we order the data set. The 30th and 31st ordered values are 63.9 and 64.2. The median is $\frac{63.9 + 64.2}{2}=64.05$.

Answer:

64.05