Histogram – NBC Institute

QTB – May 2017 – L1 – SB – Q1b – Data Collection Analysis

Construct a histogram and determine the modal wage from the wage distribution data.

Question

b. The table below shows the weekly wage distribution of artisans in a certain factory:

Weekly Wage (₦’00)	Number of Artisans
38 – 47	16
48 – 57	24
58 – 67	41
68 – 77	53
78 – 87	76
88 – 97	118
98 – 107	224
108 – 117	83
118 – 127	15
128 – 137	4

i. Draw a histogram to represent the wage distribution using the scales: On x-axis, let 1 cm represent ₦100; on y-axis, let 1 cm represent 10 artisans. (4 Marks)

ii. Deduce the modal weekly wage from the histogram. (2½ Marks)

iii. Use the appropriate formula to calculate the modal weekly wage. (3½ Marks)

Answer

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Tags: Histogram, Modal Wage, Wage Distribution
Level: Level 1

Topic: Data Collection Analysis
Series: MAY 2017

QTB – May 2017 – L1 – SA – Q7 – Mathematics

This question assesses understanding of histograms and their characteristics.

Question

Which of the following is NOT TRUE about a histogram?
A. A vertical rectangle is drawn to represent each class of the frequency distribution
B. A histogram is a graph of a grouped frequency distribution
C. The frequency of a class is represented by the height of its rectangle.
D. Histogram and bar charts look similar but they are constructed very differently.
E. The frequency of a class is represented by the area of the bar corresponding to the class.

Answer

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Tags: Business Mathematics, Data Representation, Graphs, Histogram
Level: Level 1

Topic: Mathematics
Series: MAY 2017

QTB – May 2015 – L1 – SA – Q18 – Statistics

Identifying the term for the locus of mid-points of a histogram.

Question

The locus of the mid-points of the tops of the rectangles in the constructed histogram by a straight line is known as:

A. Ogive
B. Frequency polygon
C. Component bar chart
D. Pictogram
E. Histogram

Answer

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Tags: Data Visualization, Frequency Polygon, Histogram
Level: Level 1

Topic: Statistics
Series: MAY 2015

QT – Nov 2018 – L1 – Q4b – Measures of Central Tendency

Analyze car ownership data by calculating expected value, standard deviation, and creating a relative percentage histogram.

Question

BomBo, a market researcher at a major African Automobile Company (African Moon), classified households by car ownership. The relative frequencies of households for each category of ownership are shown below:

Number of Cars Per Household	Relative Frequencies
0	0.10
1	0.30
2	0.40
3	0.12
4	0.06
5	0.02

Required:
(i) Calculate the expected value of the random variable. (4 marks)

(ii) Calculate the standard deviation of the random variable. (4 marks)

(iii) Draw a Relative Percentage Histogram for the data. (4 marks)

(iv) Using (i)-(iii), comment on the distribution of the data. (3 marks)

Answer

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Tags: Expected Value, Frequency Distribution, Histogram, Standard Deviation
Level: Level 1

Topic: Measures of Central Tendency
Series: NOV 2018

IMAC – NOV 2020 – L1 – Q5 – Forecasting

Explain features of time series; prepare a histogram and analyze sales trends; explain overhead accounting terminologies.

Question

a) Explain in brief the following features of time series:
i) Trend.
ii) Seasonal variation.
iii) Random variation.
(6 marks)

b) The following table relates to sales of Emefa Ltd for a three-year period:

Year	1st Quarter (GH¢’000)	2nd Quarter (GH¢’000)	3rd Quarter (GH¢’000)	4th Quarter (GH¢’000)
Year 1	200	150	180	260
Year 2	220	190	210	280
Year 3	240	200	220	300

Required:
i) Prepare a histogram using the above sales figures. (7 marks)
ii) Describe the trend of performance of the company. (2 marks)

c) Explain the following terminologies as used in accounting for overheads in management accounting:
i) Apportionment
ii) Allocation
iii) Allotment
iv) Absorption
v) Over/(under) absorption
(5 marks)

Answer

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Tags: Histogram, Overhead Allocation, Trend Analysis
Level: Level 1

Topic: Forecasting
Series: NOV 2020

QTB – May 2017 – L1 – SB – Q1b – Data Collection Analysis

Construct a histogram and determine the modal wage from the wage distribution data.

Question

b. The table below shows the weekly wage distribution of artisans in a certain factory:

Weekly Wage (₦’00)	Number of Artisans
38 – 47	16
48 – 57	24
58 – 67	41
68 – 77	53
78 – 87	76
88 – 97	118
98 – 107	224
108 – 117	83
118 – 127	15
128 – 137	4

i. Draw a histogram to represent the wage distribution using the scales: On x-axis, let 1 cm represent ₦100; on y-axis, let 1 cm represent 10 artisans. (4 Marks)

ii. Deduce the modal weekly wage from the histogram. (2½ Marks)

iii. Use the appropriate formula to calculate the modal weekly wage. (3½ Marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Histogram, Modal Wage, Wage Distribution
Level: Level 1

Topic: Data Collection Analysis
Series: MAY 2017

QTB – May 2017 – L1 – SA – Q7 – Mathematics

This question assesses understanding of histograms and their characteristics.

Question

Answer

Find Related Questions by Tags, levels, etc.

Tags: Business Mathematics, Data Representation, Graphs, Histogram
Level: Level 1

Topic: Mathematics
Series: MAY 2017

QTB – May 2015 – L1 – SA – Q18 – Statistics

Identifying the term for the locus of mid-points of a histogram.

Question

The locus of the mid-points of the tops of the rectangles in the constructed histogram by a straight line is known as:

A. Ogive
B. Frequency polygon
C. Component bar chart
D. Pictogram
E. Histogram

Answer

Find Related Questions by Tags, levels, etc.

Tags: Data Visualization, Frequency Polygon, Histogram
Level: Level 1

Topic: Statistics
Series: MAY 2015

QT – Nov 2018 – L1 – Q4b – Measures of Central Tendency

Analyze car ownership data by calculating expected value, standard deviation, and creating a relative percentage histogram.

Question

Number of Cars Per Household	Relative Frequencies
0	0.10
1	0.30
2	0.40
3	0.12
4	0.06
5	0.02

Required:
(i) Calculate the expected value of the random variable. (4 marks)

(ii) Calculate the standard deviation of the random variable. (4 marks)

(iii) Draw a Relative Percentage Histogram for the data. (4 marks)

(iv) Using (i)-(iii), comment on the distribution of the data. (3 marks)

Answer

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Tags: Expected Value, Frequency Distribution, Histogram, Standard Deviation
Level: Level 1

Topic: Measures of Central Tendency
Series: NOV 2018

IMAC – NOV 2020 – L1 – Q5 – Forecasting

Explain features of time series; prepare a histogram and analyze sales trends; explain overhead accounting terminologies.

Question

a) Explain in brief the following features of time series:
i) Trend.
ii) Seasonal variation.
iii) Random variation.
(6 marks)

b) The following table relates to sales of Emefa Ltd for a three-year period:

Year	1st Quarter (GH¢’000)	2nd Quarter (GH¢’000)	3rd Quarter (GH¢’000)	4th Quarter (GH¢’000)
Year 1	200	150	180	260
Year 2	220	190	210	280
Year 3	240	200	220	300

Required:
i) Prepare a histogram using the above sales figures. (7 marks)
ii) Describe the trend of performance of the company. (2 marks)

c) Explain the following terminologies as used in accounting for overheads in management accounting:
i) Apportionment
ii) Allocation
iii) Allotment
iv) Absorption
v) Over/(under) absorption
(5 marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Histogram, Overhead Allocation, Trend Analysis
Level: Level 1

Topic: Forecasting
Series: NOV 2020

Question Tag: Histogram

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QTB – May 2017 – L1 – SB – Q1b – Data Collection Analysis

Construct a histogram and determine the modal wage from the wage distribution data.

QTB – May 2017 – L1 – SA – Q7 – Mathematics

This question assesses understanding of histograms and their characteristics.

QTB – May 2015 – L1 – SA – Q18 – Statistics

Identifying the term for the locus of mid-points of a histogram.

QT – Nov 2018 – L1 – Q4b – Measures of Central Tendency

Analyze car ownership data by calculating expected value, standard deviation, and creating a relative percentage histogram.

IMAC – NOV 2020 – L1 – Q5 – Forecasting

Explain features of time series; prepare a histogram and analyze sales trends; explain overhead accounting terminologies.

QTB – May 2017 – L1 – SB – Q1b – Data Collection Analysis

Construct a histogram and determine the modal wage from the wage distribution data.

QTB – May 2017 – L1 – SA – Q7 – Mathematics

This question assesses understanding of histograms and their characteristics.

QTB – May 2015 – L1 – SA – Q18 – Statistics

Identifying the term for the locus of mid-points of a histogram.

QT – Nov 2018 – L1 – Q4b – Measures of Central Tendency

Analyze car ownership data by calculating expected value, standard deviation, and creating a relative percentage histogram.

IMAC – NOV 2020 – L1 – Q5 – Forecasting

Explain features of time series; prepare a histogram and analyze sales trends; explain overhead accounting terminologies.

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Question Tag: Histogram

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QTB – May 2017 – L1 – SB – Q1b – Data Collection Analysis

Construct a histogram and determine the modal wage from the wage distribution data.

You're reporting an error for "QTB – May 2017 – L1 – SB – Q1b – Data Collection Analysis"

QTB – May 2017 – L1 – SA – Q7 – Mathematics

This question assesses understanding of histograms and their characteristics.

You're reporting an error for "QTB – May 2017 – L1 – SA – Q7 – Mathematics"

QTB – May 2015 – L1 – SA – Q18 – Statistics

Identifying the term for the locus of mid-points of a histogram.

You're reporting an error for "QTB – May 2015 – L1 – SA – Q18 – Statistics"

QT – Nov 2018 – L1 – Q4b – Measures of Central Tendency

Analyze car ownership data by calculating expected value, standard deviation, and creating a relative percentage histogram.

You're reporting an error for "QT – Nov 2018 – L1 – Q4b – Measures of Central Tendency"

IMAC – NOV 2020 – L1 – Q5 – Forecasting

Explain features of time series; prepare a histogram and analyze sales trends; explain overhead accounting terminologies.

You're reporting an error for "IMAC – NOV 2020 – L1 – Q5 – Forecasting"

QTB – May 2017 – L1 – SB – Q1b – Data Collection Analysis

Construct a histogram and determine the modal wage from the wage distribution data.

You're reporting an error for "QTB – May 2017 – L1 – SB – Q1b – Data Collection Analysis"

QTB – May 2017 – L1 – SA – Q7 – Mathematics

This question assesses understanding of histograms and their characteristics.

You're reporting an error for "QTB – May 2017 – L1 – SA – Q7 – Mathematics"

QTB – May 2015 – L1 – SA – Q18 – Statistics

Identifying the term for the locus of mid-points of a histogram.

You're reporting an error for "QTB – May 2015 – L1 – SA – Q18 – Statistics"

QT – Nov 2018 – L1 – Q4b – Measures of Central Tendency

Analyze car ownership data by calculating expected value, standard deviation, and creating a relative percentage histogram.

You're reporting an error for "QT – Nov 2018 – L1 – Q4b – Measures of Central Tendency"

IMAC – NOV 2020 – L1 – Q5 – Forecasting

Explain features of time series; prepare a histogram and analyze sales trends; explain overhead accounting terminologies.

You're reporting an error for "IMAC – NOV 2020 – L1 – Q5 – Forecasting"

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