Question

answer questions about the dot plot below.
the set of data below represents the widths, in inches, of different gift boxes that are sold at a store.
● = 1 gift box

what is the mean of the data set? 　in
what is the median of the data set? 　in
what is the mode of the data set? 　in
remember that you can use a comma to separate your answers if you have more than one mode.

Explanation:

Step1: List data from dot plot

Data: 8,8,8,9,10,10,10,12,12,12,13,13,14,15
Total count: 14 values

Step2: Calculate mean

Sum = (8×3)+(9×1)+(10×3)+(12×3)+(13×2)+14+15 = 24+9+30+36+26+14+15 = 154
Mean = $\frac{154}{14}$ = 11

Step3: Find median

Sort data: [8,8,8,9,10,10,10,12,12,12,13,13,14,15]
Middle positions: 7th and 8th values (10 and 12)
Median = $\frac{10+12}{2}$ = 11

Step4: Identify mode

Most frequent values: 8,10,12 (each 3 times)

Answer:

Mean: 11
Median: 11
Mode: 8,10,12