<< Chapter < Page Chapter >> Page >

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars. Complete the table.

Data Value (# cars) Frequency Relative Frequency Cumulative Relative Frequency
Got questions? Get instant answers now!

What does the frequency column in [link] sum to? Why?

65

Got questions? Get instant answers now!

What does the relative frequency column in [link] sum to? Why?

Got questions? Get instant answers now!

What is the difference between relative frequency and frequency for each data value in [link] ?

The relative frequency shows the proportion of data points that have each value. The frequency tells the number of data points that have each value.

Got questions? Get instant answers now!

What is the difference between cumulative relative frequency and relative frequency for each data value?

Got questions? Get instant answers now!

To construct the histogram for the data in [link] , determine appropriate minimum and maximum x and y values and the scaling. Sketch the histogram. Label the horizontal and vertical axes with words. Include numerical scaling.

An empty graph template for use with this question.

Answers will vary. One possible histogram is shown:

Got questions? Get instant answers now!

Construct a frequency polygon for the following:

  1. Pulse Rates for Women Frequency
    60–69 12
    70–79 14
    80–89 11
    90–99 1
    100–109 1
    110–119 0
    120–129 1
  2. Actual Speed in a 30 MPH Zone Frequency
    42–45 25
    46–49 14
    50–53 7
    54–57 3
    58–61 1
  3. Tar (mg) in Nonfiltered Cigarettes Frequency
    10–13 1
    14–17 0
    18–21 15
    22–25 7
    26–29 2
Got questions? Get instant answers now!

Construct a frequency polygon from the frequency distribution for the 50 highest ranked countries for depth of hunger.

Depth of Hunger Frequency
230–259 21
260–289 13
290–319 5
320–349 7
350–379 1
380–409 1
410–439 1

Find the midpoint for each class. These will be graphed on the x -axis. The frequency values will be graphed on the y -axis values.

This is a frequency polygon that matches the supplied data. The x-axis shows the depth of hunger, and the y-axis shows the frequency.
Got questions? Get instant answers now!

Use the two frequency tables to compare the life expectancy of men and women from 20 randomly selected countries. Include an overlayed frequency polygon and discuss the shapes of the distributions, the center, the spread, and any outliers. What can we conclude about the life expectancy of women compared to men?

Life Expectancy at Birth – Women Frequency
49–55 3
56–62 3
63–69 1
70–76 3
77–83 8
84–90 2
Life Expectancy at Birth – Men Frequency
49–55 3
56–62 3
63–69 1
70–76 1
77–83 7
84–90 5
Got questions? Get instant answers now!

Construct a times series graph for (a) the number of male births, (b) the number of female births, and (c) the total number of births.

Sex/Year 1855 1856 1857 1858 1859 1860 1861
Female 45,545 49,582 50,257 50,324 51,915 51,220 52,403
Male 47,804 52,239 53,158 53,694 54,628 54,409 54,606
Total 93,349 101,821 103,415 104,018 106,543 105,629 107,009
Sex/Year 1862 1863 1864 1865 1866 1867 1868 1869
Female 51,812 53,115 54,959 54,850 55,307 55,527 56,292 55,033
Male 55,257 56,226 57,374 58,220 58,360 58,517 59,222 58,321
Total 107,069 109,341 112,333 113,070 113,667 114,044 115,514 113,354
Sex/Year 1871 1870 1872 1871 1872 1827 1874 1875
Female 56,099 56,431 57,472 56,099 57,472 58,233 60,109 60,146
Male 60,029 58,959 61,293 60,029 61,293 61,467 63,602 63,432
Total 116,128 115,390 118,765 116,128 118,765 119,700 123,711 123,578
Got questions? Get instant answers now!

The following data sets list full time police per 100,000 citizens along with homicides per 100,000 citizens for the city of Detroit, Michigan during the period from 1961 to 1973.

Year 1961 1962 1963 1964 1965 1966 1967
Police 260.35 269.8 272.04 272.96 272.51 261.34 268.89
Homicides 8.6 8.9 8.52 8.89 13.07 14.57 21.36
Year 1968 1969 1970 1971 1972 1973
Police 295.99 319.87 341.43 356.59 376.69 390.19
Homicides 28.03 31.49 37.39 46.26 47.24 52.33
  1. Construct a double time series graph using a common x -axis for both sets of data.
  2. Which variable increased the fastest? Explain.
  3. Did Detroit’s increase in police officers have an impact on the murder rate? Explain.
Got questions? Get instant answers now!

Questions & Answers

what is statistics
Kou Reply
problem associated with index number
Peter Reply
a survey of a random sample of 300 grocery shoppers in Kimberly mean value of their grocery was R78 proportion standard deviation of grocery purchase value is R21 the 95% confidence interval mean grocery purchase
sindisiwe Reply
We're would I find; The Z score?
Michael Reply
in your text at the back
Vincent
can I share a question to you sir .if you can help me out
olanegan
A student is known to answer 3 questions out of 5 and another student 5 out of 7. if a problem is given to both of them assuming independent work. find the probability none of them will solve it.
Mitiku Reply
Cumulative usersLine quality Throughput and Ping Cumulative transfers Logging policySSL-VPN Windows (comfortable)L2TP/IPsec Windows, Mac, iPhone, Android No client requiredOpenVPN Windows, Mac, iPhone, AndroidMS-SSTP Windows Vista, 7, 8, RT No client requiredVolunteer operator's name (+ Operator's m
Mitiku
Population of children in one word
mmaphuthego Reply
It has been claimed that less than 60% of all purchases of a certain kind of computer program will call the manufacturer’s hotline within one month purchase. If 55 out 100 software purchasers selected at random call the hotline within a month of purchase, test the claim at 0.05 level of significance
Mharfe Reply
what is the parameter of the hypotesis (Ho: u=75) (HA:u=/75)
Kristine Reply
how can I understand the concept of set and set operation
Monday
multiple correlation coefficient is denoted by
Alamdar Reply
how prepare satistic when remaining only two days inn examinatin
Sonia
how to find product moment correlation cofficient
zaib Reply
A research study wishes to examine the proportion of hypertensive individuals among three different groups of exercises: marathon runners, yoga, and CrossFit. Of the 78 marathon runners, 14 are hypertensive. Of the 63 yoga practioners, 6 are hypertensive. And there are 16 hypertensive subjects among the 54 CrossFit athletes What type of test statistic do you need to run for this type of analysis?
zainab Reply
A research study wishes to examine the proportion of hypertensive individuals among three different groups of exercises: marathon runners, yoga, and CrossFit. Of the 78 marathon runners, 14 are hypertensive. Of the 63 yoga practioners, 6 are hypertensive. And there are 16 hypertensive subjects among the 54 CrossFit athletes What type of test statistic do you need to run for this type of analysis? plz solve this
zainab
2. The data that categories patients as males or females are known
shivani Reply
categorical data
Sneha
hi
Mitiku
20 25 find the area under the normal curve
Akram Reply
find the area normal curve
Akram
Let x1, x2, ...,xn be a random sample of size n from N(0,σ  ), show that there exists an UMP test with significance level α for testing H0 :  2 =  2 against H1 :  2 <  2 . If n=15,  = 0.05, and  2= 3, determine the BCR
Bhavana Reply
explain null and alternative hypothesis are formulated
Shams
please give me reply quickly
Shams
3xy^2√[x^3y^2/(12(x^3y)^2)]
Esther Reply
what is probability
Esther
what is probability
Esther
what is probability
Esther
Probability is a branch of mathematics that deals with the occurrence of a random event. For example, when a coin is tossed in the air, the possible outcomes are Head and Tail.
Dewan
explain null and alternative hypothesis are farmulated
Shams
please give answer quickly
Shams
quick
Shams

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Introductory statistics. OpenStax CNX. May 06, 2016 Download for free at http://legacy.cnx.org/content/col11562/1.18
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Introductory statistics' conversation and receive update notifications?

Ask