Question Tag: Statistics

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QTB – Nov 2014 – L1 – SA – Q1 – Probability

Determines the correct definition of mutually exclusive events.

Two events are said to be mutually exclusive if
A. The occurrence (or non-occurrence) of one event does not affect the occurrence (or non-occurrence) of the other event
B. Both events can occur simultaneously
C. The occurrence of one event precludes the occurrence of the other event
D. Both are impossible events

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QTB – May 2015 – L1 – SB – Q5b – Data Collection Analysis

This question requires calculating the lower and upper quartiles for the age distribution of licensed automobile drivers using cumulative frequency.

The following data gives the distribution by age of licensed automobile drivers in a city in the year 2011:

Age Group Number of Drivers (in thousands)
14 – 19 5
20 – 25 48
26 – 31 124
32 – 37 205
38 – 43 86
44 – 49 72
50 – 55 53
56 – 61 13

You are required to calculate the lower quartile (Q1) and upper quartile (Q3) of the age of the drivers.

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QTB – May 2015 – L1 – SA – Q16 – Statistics

Identifying the algebraic sum of deviations from the mean in a dataset.

The algebraic sum of the deviations of a set of numbers from their mean is:

A. The mean of the numbers
B. The modal number
C. The median of the numbers
D. Zero
E. One

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QT – Nov 2018 – L1 – Q5b – Probability

Solve normal distribution problems related to spending habits of residents in Kojokrom.

In a study commissioned by Ofo Stores, the researcher examined the spending habits of the residents of Kojokrom. He found the spending habits to be normally distributed with a mean of GH¢700 and a standard deviation of GH¢70.

Required:
i) Determine the probability that a resident selected at random spends:

  • Less than GH¢620 (3 marks)
  • More than GH¢1,000 (3 marks)
  • Between GH¢800 and GH¢900 (4 marks)

ii) Calculate the amount:

  • Above which 80% of the residents will spend in a week (2 marks)
  • Below which 30% of the residents will spend in a week (2 marks)

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QTB – Nov 2014 – L1 – SA – Q1 – Probability

Determines the correct definition of mutually exclusive events.

Two events are said to be mutually exclusive if
A. The occurrence (or non-occurrence) of one event does not affect the occurrence (or non-occurrence) of the other event
B. Both events can occur simultaneously
C. The occurrence of one event precludes the occurrence of the other event
D. Both are impossible events

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QTB – May 2015 – L1 – SB – Q5b – Data Collection Analysis

This question requires calculating the lower and upper quartiles for the age distribution of licensed automobile drivers using cumulative frequency.

The following data gives the distribution by age of licensed automobile drivers in a city in the year 2011:

Age Group Number of Drivers (in thousands)
14 – 19 5
20 – 25 48
26 – 31 124
32 – 37 205
38 – 43 86
44 – 49 72
50 – 55 53
56 – 61 13

You are required to calculate the lower quartile (Q1) and upper quartile (Q3) of the age of the drivers.

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QTB – May 2015 – L1 – SA – Q16 – Statistics

Identifying the algebraic sum of deviations from the mean in a dataset.

The algebraic sum of the deviations of a set of numbers from their mean is:

A. The mean of the numbers
B. The modal number
C. The median of the numbers
D. Zero
E. One

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QT – Nov 2018 – L1 – Q5b – Probability

Solve normal distribution problems related to spending habits of residents in Kojokrom.

In a study commissioned by Ofo Stores, the researcher examined the spending habits of the residents of Kojokrom. He found the spending habits to be normally distributed with a mean of GH¢700 and a standard deviation of GH¢70.

Required:
i) Determine the probability that a resident selected at random spends:

  • Less than GH¢620 (3 marks)
  • More than GH¢1,000 (3 marks)
  • Between GH¢800 and GH¢900 (4 marks)

ii) Calculate the amount:

  • Above which 80% of the residents will spend in a week (2 marks)
  • Below which 30% of the residents will spend in a week (2 marks)

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