Mathematics Class 10 Chapter 12: Basic Statistics
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Chapter summary
Chapter 12 of Mathematics for Class 10 is called "Basic Statistics". It covers 12 learning outcomes of the Federal Board syllabus. You will learn to: construct cumulative frequency table, cumulative frequency polygon or Ogive; interpret the median, quartiles, deciles, percentiles, and inter quartile range from cumulative frequency curve. Parhayi.com has 270 MCQs, 30 short questions and 12 long questions for this chapter.
Topics in this chapter
- Construct cumulative frequency table, cumulative frequency polygon or Ogive
- Interpret the median, quartiles, deciles, percentiles, and inter quartile range from cumulative frequency curve
- Interpret and analyze box and whisker plots
- Construct and interpret data from scatter diagrams and also draw lines of best fit
- Measure correlation using scatter diagram
- Calculate the range, standard deviation and variance for grouped data
- Use the mean and standard deviation to compare two sets of data
- Solve real-life situations involving variance, and standard deviation for grouped data
- Apply concepts from measures of dispersion to solve real life situations (such as determining the consistency of data, checking variability in forecas
- Calculate the probability of combined events using, where appropriate: sample space diagrams, possibility diagrams, tree diagrams, Venn diagrams
- Apply addition law of probability to solve problems involving mutually exclusive events (such as left and right
- Apply the Multiplication law of probability to solve problems involving independent and dependent events (trading, flipping a coin, such as 2 cards be
Sample questions
Try these questions from the chapter. The answers are for Premium students.
- Two balls are drawn one by one with replacement from a bag containing 3 red and 2 blue balls. Find the probability that both balls are red. (4 marks)
- Compare two data sets: A has mean 50 and s = 5; B has mean 20 and s = 3. Which is more consistent? (4 marks)
- For the data 4, 6, 7, 9, 10, 12, 13, 60 find \(Q_1\), \(Q_3\) and the IQR. Is 60 an outlier? (Use the fences \(Q_1-1.5\,\text{IQR}\) and \(Q_3+1.5\,\text{IQR}\).) (3 marks)
What Premium gives you in this chapter
- 270 MCQs with answers and explanations
- 30 short questions with full answers
- 12 long questions with answers
- 12 Learn cards
- 9 Activities and games
- chapter tests that show your weak topics
Mathematics grows step by step. Read the rule, study one worked example, then solve similar questions yourself and check every step.
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