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Statistics Test - 36

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Statistics Test - 36
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  • Question 1
    1 / -0

    Directions For Questions

    $$70$$ number of student's heights are measured in cm as shown in the histogram.

    ...view full instructions

    How many students have heights less than $$220$$ cm?

    Solution
    From the histogram, the class width of number of students:
    $$120 - 140$$ is $$4$$
    $$140 - 160$$ is $$10$$
    $$160 - 180$$ is $$24$$
    $$180 - 200$$ is $$10$$
    $$200 - 220$$ is $$15$$
    $$220 - 240$$ is $$7$$.

    Therefore, the number of students having heights less than $$220$$ cm $$= 15 + 10 + 24 + 10 + 4 = 63$$.

    Hence, option $$B$$ is correct.
  • Question 2
    1 / -0
    The histogram shows that the level of diabetic (in mg per dl) of $$105$$ children. How many children have a level of diabetic between $$60-80$$?

    Solution
    By referring the histogram, number of students with diabetic level:
    $$20-40$$ is $$5$$ students
    $$40-60$$ is $$20$$ students
    $$60-80$$ is $$35$$ students
    $$80-100$$ is $$15$$ students
    $$100-120$$ is $$10$$ students
    $$120-140$$ is $$20$$ students.

    Therefore, $$35$$ children have a level of diabetic between $$60-80$$.

    Hence, option $$D$$ is correct.
  • Question 3
    1 / -0
    The histogram shows that the level of diabetic (in mg per dl) of $$105$$ children. How many children have a level of diabetic between $$100-120$$?

    Solution
    By referring the histogram, number of students with diabetic level:
    $$20-40$$ is $$5$$ students
    $$40-60$$ is $$20$$ students
    $$60-80$$ is $$35$$ students
    $$80-100$$ is $$15$$ students
    $$100-120$$ is $$10$$ students
    $$120-140$$ is $$20$$ students.

    Therefore, $$10$$ children have a level of diabetic between $$100-120$$.

    Hence, option $$B$$ is correct.
  • Question 4
    1 / -0

    Directions For Questions

    The annual maintenance cost of a machine in a factory over a seven years period is represented in the histogram.

    ...view full instructions

    How much did the maintenance cost decreased in $$1996-1997$$ when compared to $$1997-1998$$?

    Solution
    From the histogram, the maintenance cost in the year:
    $$1995-1996$$ is Rs. $$2000$$
    $$1996-1997$$ is Rs. $$3000$$
    $$1997-1998$$ is Rs. $$1500$$
    $$1998-1999$$ is Rs. $$2500$$
    $$1999-2000$$ is Rs. $$4850$$
    $$2000-2001$$ is Rs. $$5000$$
    $$2001-2002$$ is Rs. $$7200$$.

    Then, the maintenance cost decreased in $$1996-1997$$ when compared to $$1997-1998 = 3000 - 1500 = 1500$$ rupees.

    Hence, option $$B$$ is correct.
  • Question 5
    1 / -0
    The number of hours each student of a class spends studying is $$4, 6, 5, 8, 9, 5, 7, 4$$, and $$8$$ hours. Identify the frequency polygon for the given data.

  • Question 6
    1 / -0

    Directions For Questions

    The histogram represents the number of children entering into a library between different times in a day.

    ...view full instructions

    How many total number of children entered into the library between $$0$$ to $$20$$ hours?

    Solution
    From the histogram,
    The number of children entered during $$0-10$$ hours $$= 45$$
    The number of children entered during $$10-20$$ hours $$= 55$$
    The number of children entered during $$20-30$$ hours $$= 15$$
    The number of children entered during $$30-40$$ hours $$= 25$$
    The number of children entered during $$40-50$$ hours $$= 85$$
    The number of children entered during $$50-60$$ hours $$= 10$$.

    Therefore, the total number of children during $$0-20$$ hours $$= 45 + 55 = 100$$.

    Hence, option $$C$$ is correct.
  • Question 7
    1 / -0

    Directions For Questions

    The annual maintenance cost of a machine in a factory over a seven years period is represented in the histogram.

    ...view full instructions

    Find the decreased maintenance cost in the year $$2000-2001$$ when compared to $$1999$$ to $$2000$$.

    Solution
    From the histogram, the maintenance cost in the year:
    $$1995-1996$$ is Rs. $$2000$$
    $$1996-1997$$ is Rs. $$3000$$
    $$1997-1998$$ is Rs. $$1500$$
    $$1998-1999$$ is Rs. $$2500$$
    $$1999-2000$$ is Rs. $$4850$$
    $$2000-2001$$ is Rs. $$5000$$
    $$2001-2002$$ is Rs. $$7200$$.

    Then, the decreased maintenance cost in the year $$2000-2001$$ when compared to $$1999 - 2000 = 5000 - 4850 = 150$$ rupees.

    Hence, option $$D$$ is correct.
  • Question 8
    1 / -0

    Directions For Questions

    The histogram represents the number of children entering into a library between different times in a day.

    ...view full instructions

    What is the total number of children entered in to the library between $$0-30$$ hours?

    Solution
    From the histogram,
    The number of children entered during $$0-10$$ hours $$= 45$$
    The number of children entered during $$10-20$$ hours $$= 55$$
    The number of children entered during $$20-30$$ hours $$= 15$$
    The number of children entered during $$30-40$$ hours $$= 25$$
    The number of children entered during $$40-50$$ hours $$= 85$$
    The number of children entered during $$50-60$$ hours $$= 10$$.

    Therefore, the total number of children during $$0-30$$ hours $$= 45 + 55 + 15 = 115$$.

    Hence, option $$D$$ is correct.
  • Question 9
    1 / -0
    Identify the frequency polygon.
    Solution
    We know, the frequency polygon is formed by joining the mid-points of each upper sides of adjacent rectangles of the histogram by line segments.
    Then clearly, the option $$A$$ is an example of frequency polygon.
  • Question 10
    1 / -0
    Which one of the following graph is an example of frequency polygon?
    Solution
    We know, the frequency polygon is formed by joining the mid-points of each upper sides of adjacent rectangles of the histogram by line segments.
    Then clearly, the option $$B$$ is an example of frequency polygon.
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