Kaylen wants to know the number of siblings 6th graders typically have. She surveys the 6th graders on her soccer team. Her results are given in the table. She calculates that the median number of siblings is 1. She then realizes that she counted one data value twice by accident. She needs to remove one of the ''0 siblings'' values from the table. Determine how removing a ''0'' from the dataset will impact the median. Number of siblings: 0, 1, 2, 3, 4, 5. Number of 6th graders: 3, 12, 5, 2, 0, 1.

Question

Kaylen wants to know the number of siblings 6th graders typically have. She surveys the 6th graders on her soccer team. Her results are given in the table. She calculates that the median number of siblings is 1. She then realizes that she counted one data value twice by accident. She needs to remove one of the ''0 siblings'' values from the table. Determine how removing a ''0'' from the dataset will impact the median. Number of siblings: 0, 1, 2, 3, 4, 5. Number of 6th graders: 3, 12, 5, 2, 0, 1.

Answer 1

First, let's calculate the median with the original dataset:

Ordered dataset: 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5

Number of data values = 22

Median = 2nd quartile = (11th data value + 12th data value) / 2 = (1 + 1) / 2 = 1

Now, let's calculate the median after removing one of the ''0 siblings'' values:

Ordered dataset: 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5

Number of data values = 21

Median = 2nd quartile = 11th data value = 1

Therefore, removing one of the ''0 siblings'' values from the dataset does not change the median, and it remains at 1.