/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q12 Constructing Frequency Distribut... [FREE SOLUTION] | 91影视

91影视

Constructing Frequency Distributions. In Exercises 11鈥18, use the indicated data to construct the frequency distribution. (The data for Exercises 13鈥16 can be downloaded at TriolaStats.com.)

Tornadoes Listed below are the F-scale intensities of recent tornadoes in the United States. Construct a frequency distribution. Do the intensities appear to have a normal distribution?

040011100012011010111100100100111300020300000

Short Answer

Expert verified

The following frequency distribution is constructed for the F-scale intensities of tornadoes:

F-scale intensity

Frequency

0

24

1

16

2

2

3

2

4

1

The intensities of the tornadoes do not appear to follow a normal distribution.

Step by step solution

01

Given information

Data are given on the F-scale intensities of some recent tornadoes.

02

Frequency distribution

A frequency distribution is a tabulated representation of the number of values that fall in each interval. It is used to depict the numerical data.

If the frequencies gradually rise from a low value, reach a maximum value, and then eventually fall, the frequency distribution is said to follow the normal distribution.

In addition, the frequencies on both sides of the peak value should appear symmetric.

03

Construction

Here, as the data contains only a few discrete values (0, 1, 2, 3, and 4), there is no need to compute the closed class intervals.

The discrete numerals are utilized to complete the frequency distribution by counting the number of times each discrete value appears in the data.

Here, 0 appears 24 times, 1 appears 16 times, 2 appears 2 times, 3 appears 2 times, and 4 appears 1 time.

Thus, the following frequency distribution is constructed:

F-scale intensity

Frequency

0

24

1

16

2

2

3

2

4

1

It can be observed that the frequencies start from a high value and then continue to decline until the last class interval. They do not seem to follow the pattern required for the distribution to be normal.

Thus, the given frequency distribution does not appear to follow a normal distribution.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Exercises 1鈥6, refer to the data below, which are total home game playing times (hours) for all Major League Baseball teams in a recent year (based on data from Baseball Prospectus).

236 237 238 239 241 241 242 245 245 245 246 247 247 248 248 249 250 250 250 251 252 252 253 253 258 258 258 260 262 264

Frequency Distribution Construct a frequency distribution. Use a class width of 5 hours and use a starting time of 235 hours.

In Exercises 5鈥8, identify the class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. The frequency distributions are based on real data from Appendix B.

Blood Platelet Count of Females

Frequency

100-199

25

200-299

92

300-399

28

400-499

0

500-599

2

It鈥檚 Like Time to Do This Exercise In a Marist survey of adults, these are the words or phrases that subjects find most annoying in conversation (along with their frequencies of response): like (127); just sayin鈥 (81); you know (104); whatever (219); obviously (35). Construct a pie chart. Identify one disadvantage of a pie chart

Categorical Data. In Exercises 23 and 24, use the given categorical data to construct the relative frequency distribution.

Clinical Trial When XELJANZ (tofacitinib) was administered as part of a clinical trial for this rheumatoid arthritis treatment, 1336 subjects were given 5 mg doses of the drug, and here are the numbers of adverse reactions: 57 had headaches, 21 had hypertension, 60 had upper respiratory tract infections, 51 had nasopharyngitis, and 53 had diarrhoea. Does any one of these adverse reactions appear to be much more common than the others? (Hint: Find the relative frequencies using only the adverse reactions, not the total number of treated subjects.)

Linear Correlation Coefficient In Exercises 9鈥12, the linear correlation coefficient r is provided. Use Table 2-11 on page 71 to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation?

Using the data from Exercise 6 鈥淏ear Measurements,鈥 the linear correlation coefficient is r = 0.980.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.