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Q. 5

Expert-verified
Found in: Page 614

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

# 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 Year18, 14, 10, 15, 8, 15, 6,11, 8, 7, 13, 10, 23, 16,15, 25, 22, 20, 16

1. 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
2. The Histogram is,

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

See the step by step solution

## 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.