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.
{ 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 }.

give the mean of the data set.

give the median of the data set.

give the midrange of the data set.

Explanation:

Step1: Find minimum value

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

Step2: Find maximum value

The maximum value in the data - set is $max(A)=72.2$.

Step3: Calculate mid - range

The formula for the mid - range is $\frac{min(A)+max(A)}{2}$. Substitute $min(A) = 54$ and $max(A)=72.2$ into the formula: $\frac{54 + 72.2}{2}=\frac{126.2}{2}=63.1$.

Answer:

$63.1$