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Mathematics Grade 12 Unit 3: STATISTICS

31 national exam questions have come from this unit. It runs 77 pages; one careful study pass takes about 8.7 hours, and its difficulty is harder among Mathematics units. Each section below lists the questions set from it, with the year, and opens the page that teaches it.

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3.1 Measures of Absolute Dispersions · read p. 161
  • 2018 E.C., Q32 – Given below the amount of time (in minutes) spent on running each day by a group of 16 students. Time spent on running | 1-4 | 5-8 | 9-12 | 13-16 | 17-20 No. of students | 3 | 2 | 4 | 4 | 3 What is the coefficient of qua
  • 2018 E.C., Q1 – Consider the data: 11, 13, 15, 17, 19, 21. Which one of the following is the mean deviation from the mean?
  • 2018 E.C., Q31 – Which of the following statements is NOT true about the mean of a given data set?
  • 2017 E.C., Q50 – Which one of the following is true about measures of dispersion?
  • 2017 E.C., Q4 – Consider the following data: 1, 3, 7, 9, 11, 13, 18, 28. Then the coefficient of mean deviation about the median is equal to:
  • 2017 E.C., Q42 – Consider the following data: 13, 16, 19, 19, 19, 19, 24, 27 What is the mean deviation about the mode?
  • 2017 E.C., Q27 – Consider the data 7, 12, 21, x, 14. What is the value of if its range is 23? x
  • 2016 E.C., Q32 – Given the grouped data: x | 8 - 12 | 13 - 17 | 18 - 22 | 23 - 27 | 28 - 32 f | 3 | 4 | 5 | 6 | 2 What is the standard deviation of the data?
  • 2016 E.C., Q33 – The following data gives the scores of 10 students in a Mathematics examination: 6, 10, 8, 5, 9, 8, 5, 10, 10, 9. Which one of the following is the standard deviation of the given data?
  • 2016 E.C., Q1 – Which one of the following is true about the Range and Interquartile Range of a given data?
  • 2015 E.C., Q44 – Suppose the following data represents the weight in kg of 10 students in a classroom: 61, 49, 52, 68, 61, 55, 64, 63, 67, 60 Which one of the following statements is NOT true about the data?
  • 2015 E.C., Q43 – The following table shows the first quartile and the third quartile of two data sets X and Y. Which of the Q 1 Q 3 Q 1 Q 3 following is true about the given data? X Y 5 3 9 6
  • 2014 E.C., Q38 – Consider the following data: 6, 6, 7, 7, 7, 8, 8. Then which of the following is true?
  • 2014 E.C., Q51 – The following is the distribution of the marks of students obtained in Mathematics test out of 50: Range of marks Frequency 20 - 25 15 26 - 31 25 32 - 37 25 38 - 43 20 44 - 50 10
  • 2013 E.C., Q25 – Consider the data given below: 10, 12, 10, 15, -12, 16, 13, 11, 12, 15 The mean deviation about the mode of this data is equal to
  • 2013 E.C., Q26 – On the graph of the cumulative frequency distribution of a certain data, it is observed that, the mean, median, mode and standard deviation are 9.8, 10.0, and 2.1, respectively. Which of the following is a correct conclu
3.2 Interpretation of Relative Dispersions · read p. 194
  • 2018 E.C., Q22 – Let $MD$ refers to the mean deviation from the mean and $\bar{x}$ denotes the mean of a data set. Which of the following formula represents the coefficient of Mean deviation (CMD) from the mean of the data?
  • 2017 E.C., Q12 – Given the data set: 29, 44, 46, 52, 35, 35, 25, 15, 10, 55, 56 What is the coefficient of quartile deviation?
  • 2017 E.C., Q48 – Which one of the following is NOT true about the coefficient of variation?
  • 2016 E.C., Q33 – Given two sets of data A and B with ranges 15 and 15 respectively, coefficient of range (CR) of A is 0.2 and CR of B is 0.21. Then which of the following is true?
  • 2016 E.C., Q37 – Consider that a data set given below: 10, 8, 10, 2, 12, 6, 12, 18, 3, 7, 10, 8, 8 Which one of the following is the coefficient of range of the data?
  • 2015 E.C., Q40 – The following table shows the mean score and the standard deviation of scores of the students in each class P, Q, R and S who took a similar test which is marked out of 20. Which of the following statements is true about
3.3 Use of Frequency Curves · read p. 206
Not asked in a national paper yet.
3.4 Sampling Techniques · read p. 212
  • 2018 E.C., Q36 – In statistical sampling, if a population is divided into homogeneous groups and a random sample is drawn from each group, this method is known as:
  • 2017 E.C., Q44 – If a sampling interval is calculated by dividing the size of the population by the size of the sample, then which probability sampling technique is used?
  • 2016 E.C., Q15 – Which one of the following is a simple random sampling?
  • 2016 E.C., Q34 – In a homogeneous population where there is a categorical difference, items are selected randomly in each category. Which of the following describes the sampling method stated above?
  • 2014 E.C., Q27 – Which of the following is NOT true?
  • 2013 E.C., Q4 – Which of the following is an advantage of using the techniques of random sampling in statistical methods?