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.

64.05

part 3 of 4

give the midrange of the data set.

62.1

part 4 of 4

given the relationship between the mean and median, what distribution shape likely?

the distribution will be roughly symmetric.
the distribution will probably be skewed to the left.
the distribution will probably be skewed to the right.

Explanation:

Step1: Recall distribution - mean and median relationship

If mean $\approx$ median, distribution is symmetric. If mean < median, distribution is skewed left. If mean > median, distribution is skewed right.
Given mean = 63.615 and median = 64.05.
Since mean < median.

Step2: Determine distribution shape

The distribution is likely skewed to the left.

Answer:

The distribution will probably be skewed to the left.