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Using the following information to answer the next two exercises: 64 faculty members were asked the number of cars they owned (including spouse and children’s cars). The results are given in the following graph:

This shows a relative frequency bar graph. The horizontal axis shows the number of cars using whole numbers from 0 to 6. The vertical axis shows relative frequency in units of 0.1 from 0.15 to 0.45. The graph shows the following proportions: 0.075 of responses are 1, 0.15 are 2, 0.45 are 3, 0.25 are 4, and 0.075 of responses are 6.

36. Find the approximate number of responses that were three.

37. Find the first, second and third quartiles. Use them to construct a box plot of the data.

Use the following information to answer the next three exercises: [link] shows data gathered from 15 girls on the Snow Leopard soccer team when they were asked how they liked to wear their hair. Supposed one girl from the team is randomly selected.

Hair Style/Hair Color Blond Brown Black
Ponytail 3 2 5
Plain 2 2 1

38. Find the probability that the girl has black hair GIVEN that she wears a ponytail.

39. Find the probability that the girl wears her hair plain OR has brown hair.

40. Find the probability that the girl has blond hair AND that she wears her hair plain.

Chapter 6

Use the following information to answer the next two exercises: X ~ U (3, 13)

41. Explain which of the following are false and which are true.

  1. f ( x ) = 1 10 , 3 ≤ x ≤ 13
  2. There is no mode
  3. The median is less than the mean.
  4. P ( x >10) = P ( x ≤ 6)

42. Calculate:

  1. the mean.
  2. the median.
  3. the 65 th percentile.

This is a boxplot over a number line  from 0 to 7. The left whisker ranges from minimum, 0, to lower quartile, 2. The box runs from lower quartile, 2, to upper quartile, 5. A dashed line marks the median at 4. The right whisker runs from 5 to maximum value 7.

43. Which of the following is true for the box plot in [link] ?

  1. Twenty-five percent of the data are at most five.
  2. There is about the same amount of data from 4–5 as there is from 5–7.
  3. There are no data values of three.
  4. Fifty percent of the data are four.

44. If P ( G | H ) = P ( G ), then which of the following is correct?

  1. G and H are mutually exclusive events.
  2. P ( G ) = P ( H )
  3. Knowing that H has occurred will affect the chance that G will happen.
  4. G and H are independent events.

45. If P ( J ) = 0.3, P ( K ) = 0.63, and J and K are independent events, then explain which are correct and which are incorrect.

  1. P ( J AND K ) = 0
  2. P ( J OR K ) = 0.9
  3. P ( J OR K ) = 0.72
  4. P ( J ) ≠ P ( J | K )

46. On average, five students from each high school class get full scholarships to four-year colleges. Assume that most high school classes have about 500 students. X = the number of students from a high school class that get full scholarships to four-year schools. Which of the following is the distribution of X ?

  1. P (5)
  2. B (500, 5)
  3. Exp ( 1 5 )
  4. N ( 5 , ( 0.01 ) ( 0.99 ) 500 )

Chapter 7

Use the following information to answer the next three exercises: Richard’s Furniture Company delivers furniture from 10 A.M. to 2 P.M. continuously and uniformly. We are interested in how long (in hours) past the 10 A.M. start time that individuals wait for their delivery.

47. X ~ _________

  1. U (0, 4)
  2. U (10, 20)
  3. Exp (2)
  4. N (2, 1)

48. The average wait time is:

  1. 1 hour.
  2. 2 hours.
  3. 2.5 hours.
  4. 4 hours.

49. Suppose that it is now past noon on a delivery day. The probability that a person must wait at least 1.5 more hours is:

  1. 1 4
  2. 1 2
  3. 3 4
  4. 3 8

50. Given: X ~ Exp ( 1 3 )

  1. Find P ( x >1).
  2. Calculate the minimum value for the upper quartile.
  3. Find P ( x = 1 3 )


  • 40% of full-time students took 4 years to graduate
  • 30% of full-time students took 5 years to graduate
  • 20% of full-time students took 6 years to graduate
  • 10% of full-time students took 7 years to graduate

The expected time for full-time students to graduate is:
  1. 4 years
  2. 4.5 years
  3. 5 years
  4. 5.5 years

Questions & Answers

What is the formula for iqr
Erin Reply
which is 3rd quartile minus 1st quartile.
hope that will help you.
why we calculate mean?
bilal Reply
pls I need more of statistics materials
According to my understanding, statistics are numerical data or information presented in charts or graphs
Kristen Reply
what is statistics
Elisha Reply
how to find critical angle
Muhammad Reply
what is statistics ?
Statistics is deal with the collection, analysis, interpretation, presentation of data to drawn out conclusions.
collection presentation analysis interpretation Kia he sir
In my own perspective statistics is deal with the collection, analysis, interpretation, presentation of data before will drawn our conclusions
thank you sir pragaph bejo
In simple way it is the technique of problem solving by providing probabilistic answer to questions otherwise whose exact answer is not possible..besides it is the support to every subject you study.
Data is information that has been translated into a form that is efficient for movement or processing
group the scores below into a class interval of seven and obtain the following: 1.. i..class interval ii..tally iii..frequency iv..mid point v...cummulative frequency less than vi..cummulative frequency more than vii..relative frequency viii...relative percentage
2..draw a histogram and frequency polygon to sick it the statistical table
2.draw a histogram and frequency polygon to sick it the statistical
2.draw a histogram and frequency polygon to dipict the statistical table
Describe the organizational setup of bureau of statics government of sindh give its past achievement in brief
Awais Reply
Life Table and its construction
only asking what is hospital statistics
Suly Reply
What's the meaning Of statistic
Farouk Reply
what's the meaning of statistic
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
khama Reply
pls I want to know the characterize of mean
Trixie Reply
I want solution to; x,x+1,3.5,3.4 and 2.5 is 3.1. find the value of x
mean is nothing but average.
(x+x+1+3.5+3.4+2.5)/5=3.1 2x+10.4=3.1*5 x=(15.5-10.4)/2 x=2.55
How. Pls explain or break it down thanks
the sum of all five divided by the 5 which is the average is equal to 3.1 so you sum them, divide and equate to 3.1. then solve for X by making X the subject
Think of it as your grade, or gpa. how do you find the average of it?
nicely explained
What is the meaning of statistics and it's relevance in the social sciences
Icecool Reply
statistics is the branch of mathematics that using math& statistics theories to interpret data to information which is supporting the decision makers in social sciences and applied too. statistics is decision making science now aday
I want to slove this math
Enny Reply
I'm not seeing the Math problem?
the data below where from 1 miles. miles 1:8380, 8210,3836,7840,7910,7510,7720,7750,8100,7690 test wherever their difference is significance at 5% level with population of #8000.
me too
enny i don't see any math problems
hello my friend. how can you help me to solve math
help me the interquartile range and semi interquartile range of grouped data
what is the difference between macro and micro data?
Sani Reply
Macrodata consist of 'headcounts', Microdata contain data on individuals,
macro is a big business and micro is small business
macro means whole or big and micro means part or small therefore in relation to data, macro data will be big or whole data and micro data will be small or individual part of a data. for example taking the whole data of an organisation or economy that will be macro data and taking the data on employe
employees will be micro data
How to determine appropriate statistics tool for my data
Jayr Reply
You cannot know everything! Statistics is a vast subject so don’t be afraid to say that you don’t know. Ask others for help or look up information on the internet to help. Don’t assume that the student knows anything about the technique they are suggesting!
my class starts at February 4th
P is the probability that a given die shows even number. To test H0 : P =1/2 against H1 : P=1/3, following procedure is adopted. Toss the die twice and accept H0 if both times it shows even number. Find the probabilities of type I and type II errors
Loyolite Reply

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Source:  OpenStax, Introductory statistics. OpenStax CNX. May 06, 2016 Download for free at http://legacy.cnx.org/content/col11562/1.18
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