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URGENT!, will mark brainiest!

Use the box plots comparing the number of male pets and number of female pets attending doggy daycare each day for a month to answer the questions. Two box plots shown.

The top one is labeled Males. Minimum at 1, Q1 at 3, median at 10.5, Q3 at 14, maximum at 21, and a point at 30.

The bottom box plot is labeled Females. Minimum at 0, Q1 at 15, median at 18, Q3 at 21, no maximum shown

Part A: Estimate the I Q R for the males' data. (2 points)

Part B: Estimate the difference between the median values of each data set. (2 points)

Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)

Respuesta :

Lanuel
  1. The IQR for the males' data is equal to 12.
  2. The difference between their median's values is 8.
  3. The male's data has an outlier while the female's data doesn't have.

How to estimate the IQR?

For the males' data, we can logically deduce the following data elements:

  • Upper quartile (Q₃) = 14
  • Lower quartile (Q₁) = 2

Mathematically, the male IQR can be calculated by using this formula:

IQR = Q₃ - Q₁

IQR = 14 - 2

Male IQR = 12.

Next, we would find the difference between the median values:

Note: The median of male's data is equal to 10 while median of female's data is equal to 18.

Difference, d = 18 - 10

Difference, d = 8.

The distribution of data.

The male's data has an outlier probably due to sampling technique used while the female's data doesn't have an outlier. Thus, the median would be a better measure of center for the male's data and the mean being a better measure of center for the female's data.

Read more about boxplots here: https://brainly.com/question/24336419

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