Question

assess yourself
find the mean, median, and mode of the data set
(13, 14, 18, 15, 15, 14, 15, 15, 12, 15)
mean
mean = \\(\frac{sum\\ of\\ all\\ data\\ points}{number\\ of\\ data\\ points}\\)
median
the middle number when a group is arranged in order from least to greatest. (or mean of the two middle numbers, if an even number of data)
mode

Explanation:

Step1: Calculate sum of data points

$13 + 14 + 15 + 15 + 15 + 14 + 15 + 15 + 13 + 15 = 144$

Step2: Compute the mean

Mean = $\frac{\text{Sum of All Data Points}}{\text{Number of Data Points}} = \frac{144}{10} = 14.4$

Step3: Order data for median

Arrange data: $13, 13, 14, 14, 15, 15, 15, 15, 15, 15$

Step4: Find the median

Average 5th & 6th values: $\frac{15 + 15}{2} = 15$

Step5: Identify the mode

Count frequencies: 13(2), 14(2), 15(6)

Answer:

Mean: $14.4$
Median: $15$
Mode: $15$