Question

4 multiple choice 1 point find the mean, median, and mode of the following set of measurements. 6, 1, 11, 14, 9, 23, 16, 6, 1 mean: 9 median: 9.667 mode: 6, 1 mean: 9.667 median: 9 mode: 6, 1 mean: 9 median: 9.667 mode: 6 mean: 9.667 median: 9 mode: 6 mean: 9.667 median: 9 mode: 1

Explanation:

Step1: Calculate the Mean

First, sum all the numbers: \(6 + 1 + 11 + 14 + 9 + 23 + 16 + 6 + 1 = 87\). There are 9 numbers. So the mean is \(\frac{87}{9} \approx 9.667\).

Step2: Calculate the Median

Sort the numbers: \(1, 1, 6, 6, 9, 11, 14, 16, 23\). The middle number (5th term) is 9, so the median is 9.

Step3: Calculate the Mode

The numbers 1 and 6 both appear twice, more than any other number, so the modes are 1 and 6.

Answer:

Mean: 9.667
Median: 9
Mode: 6, 1 (corresponding to the second option: Mean: 9.667, Median: 9, Mode: 6, 1)