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Handout #6

Math 101 Name: _____________________________

Collecting, Organizing, & Visualizing Data

For Questions #1-5, use the following twenty data values to answer the questions:

11, 4, 6, 7, 12, 15, 21, 25, 29, 30, 31, 33, 39, 43, 44, 45, 51, 55, 60, 63

1. What data value is at the 10th percentile? ____________

2. What data value is at the 90th percentile? ____________

3. What data value is at the first quartile? ______________

4. A survey was conducted by in a Midland University class. Students were asked, “How

many hours did you spend on homework this past week?” The responses are below:

13 4 10 8 9 0 12 5 15 12

9 16 11 8 4 13 8 10 6 8 11 6 7 11 9

a) Find the minimum value and the maximum value. Subtracting the least

value from the greatest value will identify the range of the data.

Minimum hours spent is __________ Range is ________

Maximum hours spent is __________

b) Find the median of the data. Median is __________.

c) Find the median of the lower half of the data (Q1). Q1 is _________.

Find the median of the upper half of the data (Q3). Q3 is _________.

d) Use the 5 number summary found above to create a boxplot below.

Normal Calculations

Sketch a normal curve for each distribution. Label the x-axis at one, two, and

three standard deviations from the mean.

5. mean = 95; standard deviation = 12 6. Mean = 100; standard deviation = 15

7. A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed.

Find each value, given its distance from the mean.

a) +1 standard deviation from the mean b) -2 standard deviations from the mean

8. Given an approximately normal distribution with a mean of 175 and a standard deviation

of 371.

a. Draw a normal curve and label 1, 2, and 3 standard deviations on both sides on

the mean.

b. What percent of values are within the interval (138, 212)?

c. What percent of values are within the interval (101, 249)?

9. The scores on a university examination are normally distributed with a mean of 62 and

a standard deviation of 11. If the middle 68% of students will get a “C”, what is the lowest

mark that a student can have and still be awarded a C? (add 2 at the end