
Concept explainers
(a)
To find the mean, median and mode of data set.
(a)

Answer to Problem 8E
Mean = 13.2
Median = 14.5
Mode = 14 and 15
Explanation of Solution
Given information: 14,15,3,15,14,14,18,15,8,16
Formula Used: Mean = Sum of all observationsTotal observations , Median = (n+12)th term , Mode = Most repeated value.
Calculation:
14,15,3,15,14,14,18,15,8,16
Now, in Ascending Order
3,8,14,14,14,15,15,15,16,18
- Mean
Mean = Sum of all observationsTotal observations
So,
Mean = 3+8+14+14+14+15+15+15+16+1810
Now,
Mean = 13210
Hence,
Mean = 13.2
- Median
Median for even numbers = (n2)th+(n2+1)th2 term
So,
Median = (102)th+(102+1)th2 term
Now,
Median = (5)th+(6)th2 term
As, (5)th term=14 and (6)th term=15
So,
Median = 14+152
Hence,
Median = 14.5
- Mode
Mode = Most repeated value.
So,
14 and 15 is the most repeated value.
Mode = 14 and 15
(b)
To find measure of center best represents of data.
(b)

Answer to Problem 8E
Median
Explanation of Solution
Given information: Mean, Median and Mode
Calculation:
Median best describes the central tendency data because the outlier disturbs the mean.
Chapter 11 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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