Ogive – Knowsia

QTB – Nov 2014 – L1 – SB – Q5b – Data Collection Analysis

Draw a frequency polygon and an ogive based on gasoline mileage data from an experiment.

Question

In a particular organisation, an experiment which was conducted to determine the gasoline mileage of a particular type of car yielded the following data:

Miles per gallon	Percent
10 and under 12	4
13 and under 15	8
16 and under 18	14
19 and under 21	26
22 and under 24	12
25 and under 27	11
28 and under 30	10
31 and under 33	7
34 and under 36	6
37 and under 39	2

Required:

i. Draw the frequency polygon for gasoline mileage. (5 Marks)
ii. Draw the ogive for gasoline mileage. (5 Marks)

Answer

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Tags: Frequency Polygon, Gasoline Mileage, Graphical Representation, Ogive
Level: Level 1

Topic: Data Collection Analysis
Series: NOV 2014

QTB – May 2015 – L1 – SA – Q15 – Statistics

Identifying the alternative name for a cumulative frequency curve.

Question

A cumulative frequency curve is also known as:

A. Lorenz curve
B. Cumulative frequency graph
C. Ogive
D. Cumulative frequency line
E. Frequency polygon

Answer

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Tags: Cumulative Frequency, Ogive, Statistical Graphs
Level: Level 1

Topic: Statistics
Series: MAY 2015

QT – Nov 2017 – L1 – Q4 – Data Collection | Measures of Central Tendency | Measures of Dispersion

Analyze the frequency distribution of access time to a medical consultant, draw an ogive, and calculate measures of central tendency.

Question

Data on access time, in minutes, to a medical consultant who charges by the hour was recorded by his accountant’s assistant over a period of one week. Using a class width of 4 minutes, the following frequency distribution table was obtained:

Access Time (Minutes)	Number of Patients
15 – 19	2
20 – 24	5
25 – 29	8
30 – 34	10
35 – 39	13
40 – 44	17
45 – 49	20
50 – 54	16
55 – 59	12
60 – 64	15

Required:
a) Using a graph sheet, draw a less than or a greater than (more than) cumulative frequency curve (ogive) of the data. (6 marks)
b) From the ogive in (a) above, estimate the median access time. (2 marks)
c) Calculate the mean and the mode of the access times. (6 marks)
d) Calculate the standard deviation of the distribution. (4 marks)
e) Using the values in (b) and (c) above, comment on the skewness of the distribution. (2 marks)
(Total: 20 marks)

Answer

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Tags: Frequency Distribution, Mean, Median, Mode, Ogive, Skewness, Standard Deviation
Level: Level 1

Topic: Data Collection, Measures of Central Tendency, Measures of Dispersion
Series: NOV 2017

QT – Nov 2018 – L1 – Q7 – Probability

Calculate expected returns for investments, determine optimal strategy, and analyze student error distribution.

Question

Royal Driving School is considering investing in a profitable project. The school is given the following investment alternatives and percentage rates of return.

Over the past 300 days, market conditions have been moderate for 150 days and good for 60 days.

Required:
i) Calculate the expected return for each type of investment. (4 marks)
ii) Determine the optimum investment strategy for Royal Driving School. (3 marks)

b) The number of errors made by 294 students of Royal Driving School in their first attempt at a driving test is grouped in the following frequency distribution:

Number of Errors	Number of Students
7 – 13	3
14 – 20	12
21 – 27	23
28 – 34	44
35 – 41	54
42 – 48	56
49 – 55	43
56 – 62	24
63 – 69	23
70 – 76	12

Required:
i) Compute an estimate of the mean and mode for the distribution. (3 marks)
ii) Construct an ogive for the distribution. (4 marks)
iii) Using the ogive in (ii) above, estimate the median for the distribution. (3 marks)
iv) Use the ogive in (ii) above to estimate the percentage of errors within one standard deviation of the mean. (3 marks)

Answer

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Tags: Errors, Expected Return, Frequency Distribution, Investment strategy, Ogive, Probability
Level: Level 1

Topic: Probability
Series: NOV 2018

QTB – Nov 2014 – L1 – SB – Q5b – Data Collection Analysis

Draw a frequency polygon and an ogive based on gasoline mileage data from an experiment.

Question

In a particular organisation, an experiment which was conducted to determine the gasoline mileage of a particular type of car yielded the following data:

Miles per gallon	Percent
10 and under 12	4
13 and under 15	8
16 and under 18	14
19 and under 21	26
22 and under 24	12
25 and under 27	11
28 and under 30	10
31 and under 33	7
34 and under 36	6
37 and under 39	2

Required:

i. Draw the frequency polygon for gasoline mileage. (5 Marks)
ii. Draw the ogive for gasoline mileage. (5 Marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Frequency Polygon, Gasoline Mileage, Graphical Representation, Ogive
Level: Level 1

Topic: Data Collection Analysis
Series: NOV 2014

QTB – May 2015 – L1 – SA – Q15 – Statistics

Identifying the alternative name for a cumulative frequency curve.

Question

A cumulative frequency curve is also known as:

A. Lorenz curve
B. Cumulative frequency graph
C. Ogive
D. Cumulative frequency line
E. Frequency polygon

Answer

Find Related Questions by Tags, levels, etc.

Tags: Cumulative Frequency, Ogive, Statistical Graphs
Level: Level 1

Topic: Statistics
Series: MAY 2015

QT – Nov 2017 – L1 – Q4 – Data Collection | Measures of Central Tendency | Measures of Dispersion

Analyze the frequency distribution of access time to a medical consultant, draw an ogive, and calculate measures of central tendency.

Question

Access Time (Minutes)	Number of Patients
15 – 19	2
20 – 24	5
25 – 29	8
30 – 34	10
35 – 39	13
40 – 44	17
45 – 49	20
50 – 54	16
55 – 59	12
60 – 64	15

Answer

Find Related Questions by Tags, levels, etc.

Tags: Frequency Distribution, Mean, Median, Mode, Ogive, Skewness, Standard Deviation
Level: Level 1

Topic: Data Collection, Measures of Central Tendency, Measures of Dispersion
Series: NOV 2017

QT – Nov 2018 – L1 – Q7 – Probability

Calculate expected returns for investments, determine optimal strategy, and analyze student error distribution.

Question

Royal Driving School is considering investing in a profitable project. The school is given the following investment alternatives and percentage rates of return.

Over the past 300 days, market conditions have been moderate for 150 days and good for 60 days.

Required:
i) Calculate the expected return for each type of investment. (4 marks)
ii) Determine the optimum investment strategy for Royal Driving School. (3 marks)

b) The number of errors made by 294 students of Royal Driving School in their first attempt at a driving test is grouped in the following frequency distribution:

Number of Errors	Number of Students
7 – 13	3
14 – 20	12
21 – 27	23
28 – 34	44
35 – 41	54
42 – 48	56
49 – 55	43
56 – 62	24
63 – 69	23
70 – 76	12

Answer

Find Related Questions by Tags, levels, etc.

Tags: Errors, Expected Return, Frequency Distribution, Investment strategy, Ogive, Probability
Level: Level 1

Topic: Probability
Series: NOV 2018

Question Tag: Ogive

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QTB – Nov 2014 – L1 – SB – Q5b – Data Collection Analysis

Draw a frequency polygon and an ogive based on gasoline mileage data from an experiment.

QTB – May 2015 – L1 – SA – Q15 – Statistics

Identifying the alternative name for a cumulative frequency curve.

QT – Nov 2017 – L1 – Q4 – Data Collection | Measures of Central Tendency | Measures of Dispersion

Analyze the frequency distribution of access time to a medical consultant, draw an ogive, and calculate measures of central tendency.

QT – Nov 2018 – L1 – Q7 – Probability

Calculate expected returns for investments, determine optimal strategy, and analyze student error distribution.

QTB – Nov 2014 – L1 – SB – Q5b – Data Collection Analysis

Draw a frequency polygon and an ogive based on gasoline mileage data from an experiment.

QTB – May 2015 – L1 – SA – Q15 – Statistics

Identifying the alternative name for a cumulative frequency curve.

QT – Nov 2017 – L1 – Q4 – Data Collection | Measures of Central Tendency | Measures of Dispersion

Analyze the frequency distribution of access time to a medical consultant, draw an ogive, and calculate measures of central tendency.

QT – Nov 2018 – L1 – Q7 – Probability

Calculate expected returns for investments, determine optimal strategy, and analyze student error distribution.

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QTB – Nov 2014 – L1 – SB – Q5b – Data Collection Analysis

Draw a frequency polygon and an ogive based on gasoline mileage data from an experiment.

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QTB – May 2015 – L1 – SA – Q15 – Statistics

Identifying the alternative name for a cumulative frequency curve.

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QT – Nov 2017 – L1 – Q4 – Data Collection | Measures of Central Tendency | Measures of Dispersion

Analyze the frequency distribution of access time to a medical consultant, draw an ogive, and calculate measures of central tendency.

You're reporting an error for "QT – Nov 2017 – L1 – Q4 – Data Collection | Measures of Central Tendency | Measures of Dispersion"

QT – Nov 2018 – L1 – Q7 – Probability

Calculate expected returns for investments, determine optimal strategy, and analyze student error distribution.

You're reporting an error for "QT – Nov 2018 – L1 – Q7 – Probability"

QTB – Nov 2014 – L1 – SB – Q5b – Data Collection Analysis

Draw a frequency polygon and an ogive based on gasoline mileage data from an experiment.

You're reporting an error for "QTB – Nov 2014 – L1 – SB – Q5b – Data Collection Analysis"

QTB – May 2015 – L1 – SA – Q15 – Statistics

Identifying the alternative name for a cumulative frequency curve.

You're reporting an error for "QTB – May 2015 – L1 – SA – Q15 – Statistics"

QT – Nov 2017 – L1 – Q4 – Data Collection | Measures of Central Tendency | Measures of Dispersion

Analyze the frequency distribution of access time to a medical consultant, draw an ogive, and calculate measures of central tendency.

You're reporting an error for "QT – Nov 2017 – L1 – Q4 – Data Collection | Measures of Central Tendency | Measures of Dispersion"

QT – Nov 2018 – L1 – Q7 – Probability

Calculate expected returns for investments, determine optimal strategy, and analyze student error distribution.

You're reporting an error for "QT – Nov 2018 – L1 – Q7 – Probability"

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