The raw data below represents the number of children living at home in a neighborhood of 24 homes. Which measure best describes the data: mean, median, or mode? Calculate all and explain.

2,1,3,0,4,4,1,2,0,6,2,2,5,0,2,3,3,1,1,4,2,0,1,4

Mean... add them all up and divide by the number of pieces of data.

Start there : )

What did you find for the

mean?
median?
mode?

https://www.mathsisfun.com/data/frequency-grouped-mean-median-mode.html

Thank you : )

To determine which measure best describes the data, let's calculate the mean, median, and mode.

1. Mean: The mean is calculated by summing up all the values and then dividing by the total number of values.

Sum of data: 2 + 1 + 3 + 0 + 4 + 4 + 1 + 2 + 0 + 6 + 2 + 2 + 5 + 0 + 2 + 3 + 3 + 1 + 1 + 4 + 2 + 0 + 1 + 4 = 59
Number of values: 24

Mean = Sum of data / Number of values = 59 / 24 ≈ 2.46

2. Median: The median is the middle value when the data is arranged in ascending order. If there is an even number of values, the median is the average of the two middle values.

First, arrange the data in ascending order: 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 6

Since there are 24 values, the middle two values are the 12th and 13th values, which are both 2.

Median = (2 + 2) / 2 = 2

3. Mode: The mode is the value(s) that occur(s) most frequently in the data.

In this case, 1 and 2 both occur the most number of times, with each appearing 6 times.

Mode = 1, 2

In summary, the mean (2.46) represents the average number of children living at home in the neighborhood, the median (2) represents the middle value, and the mode (1 and 2) represents the most frequent values.