Lesson 1
Organizing Data
Problem 1
Here is data on the number of cases of whooping cough from 1939 to 1955.
year | number of cases |
---|---|
1941 | 222,202 |
1950 | 120,718 |
1945 | 133,792 |
1942 | 191,383 |
1953 | 37,129 |
1939 | 103,188 |
1951 | 68,687 |
1948 | 74,715 |
1955 | 62,786 |
1952 | 45,030 |
1940 | 183,866 |
1954 | 60,866 |
1944 | 109,873 |
1946 | 109,860 |
1943 | 191,890 |
1949 | 69,479 |
1947 | 156,517 |
- Make a new table that orders the data by year.
- Circle the years in your table that had fewer than 100,000 cases of whooping cough.
- Based on this data, would you expect 1956 to have closer to 50,000 cases or closer to 100,000 cases?
Solution
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Problem 2
In volleyball statistics, a block is recorded when a player deflects the ball hit from the opposing team. Additionally, scorekeepers often keep track of the average number of blocks a player records in a game. Here is part of a table that records the number of blocks and blocks per game for each player in a women’s volleyball tournament. A scatter plot that goes with the table follows.
blocks | blocks per game |
---|---|
13 | 1.18 |
1 | 0.17 |
5 | 0.42 |
0 | 0 |
0 | 0 |
7 | 0.64 |
![A scatterplot. Horizontal, from 0 to 30, by 7 point 5’s. Vertical, from 0 to 2, by 0 point 5’s. 16 data points. Trend upward and to right.](https://cms-im.s3.amazonaws.com/MRjoB12nRJHeLUUnPtSDiJ6U?response-content-disposition=inline%3B%20filename%3D%228-8.6.A1.PP.vballblocks.png%22%3B%20filename%2A%3DUTF-8%27%278-8.6.A1.PP.vballblocks.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T192734Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=d0e1b58adae4932813ed7d8e9210e910cfdc91045abf6ba1544128720d25123a)
Label the axes of the scatter plot with the necessary information.
Solution
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Problem 3
A cylinder has a radius of 4 cm and a height of 5 cm.
- What is the volume of the cylinder?
- What is the volume of the cylinder when its radius is tripled?
- What is the volume of the cylinder when its radius is halved?
Solution
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(From Unit 5, Lesson 18.)