0 0 0 0 1 1 1 1 1 2 2 2 3 3 3 3 4 4 6 7 7 10 mean and median

Answer 1

To calculate the mean and median of the given data set:

Data Set: 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 6, 7, 7, 10

Mean:

1. Sum of the values:

   • \(0 + 0 + 0 + 0 + 1 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 6 + 7 + 7 + 10 = 0 + 0 + 0 + 0 + 5 + 6 + 6 + 3 + 4 + 7 + 7 + 10 = 70\)

2. Number of values:

   • There are 22 values in the data set.

3. Mean calculation: \[ \text{Mean} = \frac{\text{Sum of values}}{\text{Number of values}} = \frac{70}{22} \approx 3.18 \]

Median:

To find the median, we first need to organize the data in order, though it's already sorted:

0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 6, 7, 7, 10

1. Finding the middle value:

   • Since there are 22 numbers (an even number), the median is the average of the 11th and 12th values.

   • The 11th value is 2, and the 12th value is also 2.

2. Median calculation: \[ \text{Median} = \frac{2 + 2}{2} = \frac{4}{2} = 2 \]

Summary:

• Mean: \( \approx 3.18 \)
• Median: \( 2 \)