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Q. 5

Expert-verified

Pre-algebra

Found in: Page 614

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

For the period $1980 - 1998$ , the table below shows the number of earthquakes with magnitudes greater than $7.0$ on the Richter scale. In 1999 there were 11 earthquakes greater than $7.0$ on the Richter scale. How did 1999 compare with the preceding years?

Make a frequency table of the data.
Use your frequency table to make a histogram.
Into which interval does the number of earthquakes in 1999 fall? How does the frequency of this interval compare with the frequencies of the other intervals?
Higher-Magnitude Earthquakes Per Year
18, 14, 10, 15, 8, 15, 6,
11, 8, 7, 13, 10, 23, 16,
15, 25, 22, 20, 16

The frequency table is,
Year
Magnitude on Richter Scale
1980
18
1981
14
1982
10
1983
15
1984
8
1985
15
1986
6
1987
11
1988
8
1989
7
1990
13
1991
10
1992
23
1993
16
1994
15
1995
25
1996
22
1997
20
1998
16
The Histogram is,

The 1999 earthquakes falls in the interval of greater than 7.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Part 1. Step 1. Given Information.

The number of earthquakes with magnitudes greater than $7.0$ on the Richter scale are provided by the table,

Higher-Magnitude Earthquakes Per Year

18, 14, 10, 15, 8, 15, 6,

11, 8, 7, 13, 10, 23, 16,

15, 25, 22, 20, 16

Step 2. Frequency Table.

Make intervals of equal size for the provided data. Record the interval in which a particular data value lies by using the tally marks. For each interval, count the number of tally marks and write the frequency.

Year	Magnitude on Richter Scale
1980	18
1981	14
1982	10
1983	15
1984	8
1985	15
1986	6
1987	11
1988	8
1989	7
1990	13
1991	10
1992	23
1993	16
1994	15
1995	25
1996	22
1997	20
1998	16

Step 3. Conclusion.

The frequency table is,

Year	Magnitude on Richter Scale
1980	18
1981	14
1982	10
1983	15
1984	8
1985	15
1986	6
1987	11
1988	8
1989	7
1990	13
1991	10
1992	23
1993	16
1994	15
1995	25
1996	22
1997	20
1998	16

Part 2. Step 1. Given Information.

The number of earthquakes with magnitudes greater than $7.0$ on the Richter scale are provided by the table,

Higher-Magnitude Earthquakes Per Year

18, 14, 10, 15, 8, 15, 6,

11, 8, 7, 13, 10, 23, 16,

15, 25, 22, 20, 16

Step 2. Histogram.

Draw the horizontal and vertical axes. Label the intervals on the horizontal axis and the frequencies on the vertical axis.

Construct a bar chart to show the frequency of each interval.

Step 3. Conclusion.

The histogram is,

Part 3. Step 1. Given Information.

The number of earthquakes with magnitudes greater than $7.0$ on the Richter scale are provided by the table,

Higher-Magnitude Earthquakes Per Year

18, 14, 10, 15, 8, 15, 6,

11, 8, 7, 13, 10, 23, 16,

15, 25, 22, 20, 16

Step 2. Calculation.

The 1999 earthquakes fall in the interval of greater than 7.

Step 3. Conclusion.

The 1999 earthquakes fall in the interval of greater than 7.

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