Topic: Data Collection

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QTB – May 2017 – L1 – SB – Q6b – Data Collection Analysis

Calculate the mode and Pearson's coefficient of skewness for a given distribution of marks.

The table below shows the marks (%) scored in QTB by some candidates who wrote the ICAN Professional examination in May 2016 diet:

Marks % Number of Candidates
20–29 7
30–39 17
40–49 13
50–59 9
60–69 4

If the mean mark is 41.7%, calculate the mode and Pearson’s coefficient of skewness. (10 Marks)

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QT – May 2016 – L1 – Q6b – Data Collection | Measures of Central Tendency

Compute the sample mean, variance, standard deviation, covariance, and correlation for the given data.

b) Use the sample data below to answer the following questions:

Required:
i) Calculate the sample mean, variance, and standard deviation for X. (5 marks)
ii) Calculate the sample mean, variance, and standard deviation for . (5 marks)
iii) Calculate the sample covariance between X and Y. (3 marks)
iv) Calculate the sample correlation between X and . (3 marks)

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QT – May 2016 – L1 – Q6a – Data Collection

Distinguish between a population and a sample, and between a statistic and a parameter.

a)
i) Distinguish between a Sample and a Population. (2 marks)
ii) Distinguish between a Statistic and a Parameter. (2 marks)

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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.

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)

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QTB – May 2017 – L1 – SB – Q6b – Data Collection Analysis

Calculate the mode and Pearson's coefficient of skewness for a given distribution of marks.

The table below shows the marks (%) scored in QTB by some candidates who wrote the ICAN Professional examination in May 2016 diet:

Marks % Number of Candidates
20–29 7
30–39 17
40–49 13
50–59 9
60–69 4

If the mean mark is 41.7%, calculate the mode and Pearson’s coefficient of skewness. (10 Marks)

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QT – May 2016 – L1 – Q6b – Data Collection | Measures of Central Tendency

Compute the sample mean, variance, standard deviation, covariance, and correlation for the given data.

b) Use the sample data below to answer the following questions:

Required:
i) Calculate the sample mean, variance, and standard deviation for X. (5 marks)
ii) Calculate the sample mean, variance, and standard deviation for . (5 marks)
iii) Calculate the sample covariance between X and Y. (3 marks)
iv) Calculate the sample correlation between X and . (3 marks)

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QT – May 2016 – L1 – Q6a – Data Collection

Distinguish between a population and a sample, and between a statistic and a parameter.

a)
i) Distinguish between a Sample and a Population. (2 marks)
ii) Distinguish between a Statistic and a Parameter. (2 marks)

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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.

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)

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