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Assignment 2a: Weighted Mean

Submission Instructions: Write or type your answers to the problems given below. If you write

them by hand on paper rather than electronically, scan that page(s). If there are multiple pages

to your completed assignment, you must submit them as one multi-page document (pdf, docx,

jpg, or png). If you upload more than one document, only the first document will be graded.

Directions: Complete each of the following. Partial credit will be given if enough work is shown

to indicate some understanding of the solutions.

A student selected a paragraph in a book and counted the number of letters in each word in

that paragraph. The results are shown in the table below. For example, 8 of the words had 2

letters each.

Number of Letters

1

2

3

4

5

6

7

8

Number of Words

2

8

15

30

22

16

6

1

1.

2.

3.

4.

5.

How many words had exactly 5 letters?

How many letters were there altogether in the words that had exactly 7 letters each?

How many words were there altogether in the paragraph that the student selected?

How many letters were there altogether in the paragraph that the student selected?

What is the mean number of letters per word for the paragraph that the student selected?

Assignment 2b: Median, Mode, and Range

Submission Instructions: Write or type your answers to the problems given below. If you write

them by hand on paper rather than electronically, scan that page(s). If there are multiple pages

to your completed assignment, you must submit them as one multi-page document (pdf, docx,

jpg, or png). If you upload more than one document, only the first document will be graded.

Directions: Complete each of the following. Partial credit will be given if enough work is shown

to indicate some understanding of the solutions.

1. Create a data set consisting of five numbers in which the median is 20 and the range is 10.

2. Create a data set consisting of four different numbers in which the mean and the median

are both 15 and there is no mode.

3. Create a data set consisting of three numbers in which the mode and the median are both

30 and the mean is 32.

4. Create a data set consisting of five numbers in which the range and the mean are both 9,

the mode is 6, and the median is 8.

5. Create a data set consisting of six numbers in which the range is 11, the modes are 7 and 18,

and the median is 10.

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MEdian

Data Set

Weighted Mean

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