Question

for the following data set {2, 6, 1, 2, 4}, compute the mean, median, mode, range, and the distance (deviation) each value is from the mean. the mean is 3 (type an integer or a decimal.) the median is (type an integer or a decimal.)

Explanation:

Step1: Calculate mean

Sum the data: $2+6+1+2+4=15$. Divide by count: $\frac{15}{5}=3$.

Step2: Find median

Sort data: $\{1,2,2,4,6\}$. Middle value is 2nd index (0-based) → 2.

Step3: Identify mode

Most frequent value: 2 (appears twice).

Step4: Compute range

Max - Min: $6-1=5$.

Step5: Calculate deviations

Subtract mean from each value: $2-3=-1$, $6-3=3$, $1-3=-2$, $2-3=-1$, $4-3=1$.

Answer:

Mean: 3
Median: 2
Mode: 2
Range: 5
Deviations: -1, 3, -2, -1, 1