Question

thursday
11 11 17
19 15 8
use the data table to determine the following:
mean:
median:
mode:
range:

Explanation:

Step1: List the data

First, we list out all the data points from the table: 11, 11, 17, 19, 15, 8.

Step2: Calculate the Mean

The mean is the sum of all data points divided by the number of data points.
Sum of data: \( 8 + 11 + 11 + 15 + 17 + 19 \)
\( 8 + 11 = 19 \); \( 19 + 11 = 30 \); \( 30 + 15 = 45 \); \( 45 + 17 = 62 \); \( 62 + 19 = 81 \)
Number of data points \( n = 6 \)
Mean \( = \frac{81}{6} = 13.5 \)

Step3: Calculate the Median

First, we need to sort the data in ascending order: 8, 11, 11, 15, 17, 19.
Since there are 6 (even) data points, the median is the average of the 3rd and 4th values.
3rd value is 11, 4th value is 15.
Median \( = \frac{11 + 15}{2} = \frac{26}{2} = 13 \)

Step4: Determine the Mode

The mode is the value that appears most frequently. In the data set, 11 appears twice, and all other values appear once. So the mode is 11.

Step5: Calculate the Range

The range is the difference between the maximum and minimum values.
Maximum value \( = 19 \), Minimum value \( = 8 \)
Range \( = 19 - 8 = 11 \)

Answer:

Mean: \( 13.5 \)
Median: \( 13 \)
Mode: \( 11 \)
Range: \( 11 \)