Range and Standard Deviation - Module 4 Lesson 4 Assignment 1

MAT 1100 Quantitative Reasoning Module 4 Lesson 4 Assignment 1
Student Name:
Find the range for the set of data given in problems 1) , 2) and 3).
1)
Solution: We know that the range of a data is the difference between the highest and lowest values in the set.
The ascending orders of above data are 117, 136, 237, 404, 527, and 607.
So, the range
2)
Solution: From the above frequency table, the highest value is and lowest value is . Therefore,
Range
3)
Solution: From the above frequency table, the highest value is and lowest value is . Therefore,
Range
Find the standard deviation from problems 4) to 5). Round to one more place than the data.
4) 14, 14, 10, 7, 14, 14, 13, 19, 15, 15
Solution: The standard deviation formula is

MAT 1100 Quantitative Reasoning Module 4 Lesson 4 Assignment 1
Where mean
So,
5) 18.1, 10.5, 32.3, 36.7, 17.0, 17.3
Solution: The standard deviation formula is
Where mean
So,
Choose the one alternative that best completes the statement or answers the question.
Find the standard deviation for the given data. Round your final answer to one more decimal place than
that used for the observations.
6) 74, 40, 82, 75, 70, 25 90, 57, 29
A) 22.4 B) 23.7 C) 7.5 D) 25.4
Solution: The standard deviation formula is
Where mean
So,
Hence, answer option (A) is correct.
7) The manager of a small dry cleaner employs six people. As part of their personnel file, she asked each one to
record to the nearest one-tenth of a mile the distance they travel one way from home to work. The six distances
( in miles) are listed below.
23.3 13.2 27.7 33.3 21.3 12.9