Statistics — Practice Quiz
Gujarat Board · Class 10 · Mathematics
Try a 4-question quiz on Statistics for Gujarat Board Class 10 Mathematics: tap an answer to check it and see why. 45 questions in the full chapter test.
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Quick Quiz: Statistics
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Find the mean of the following data: 12, 15, 18, 20, 25, 30. What is the mean?
The marks obtained by 10 students are: 85, 92, 78, 85, 90, 85, 88, 76, 85, 82. What is the mode of this data?
For a grouped data with class intervals 10-20, 20-30, 30-40, 40-50 and frequencies 5, 8, 12, 3 respectively, find the class mark of the class 20-30.
Find the median of the data: 7, 12, 5, 18, 3, 15, 9. What is the median?
Sample Questions
Which of the following are measures of central tendency? (Select all correct options)
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Mean, Median, Mode
Step 1: Identify what measures of central tendency are Step 2: Mean, Median, and Mode are the three main measures of central tendency Step 3: Range is a measure of dispersion, not central tendency Step 4: Frequency is just the count of observations Therefore, Mean, Median, and Mode are correct answers.
A frequency distribution has class intervals with frequencies: 10-20 (f=3), 20-30 (f=7), 30-40 (f=5), 40-50 (f=2). Calculate Σf (sum of frequencies).
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17
Step 1: Add all the frequencies Σf = f₁ + f₂ + f₃ + f₄ Step 2: Σf = 3 + 7 + 5 + 2 Step 3: Σf = 17 This represents the total number of observations in the data.
For the data set 4, 6, 8, 10, 12, calculate the mean using the assumed mean method with a = 8.
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8
Step 1: Calculate deviations from assumed mean a = 8 d₁ = 4-8 = -4, d₂ = 6-8 = -2, d₃ = 8-8 = 0, d₄ = 10-8 = 2, d₅ = 12-8 = 4 Step 2: Sum of deviations = -4 + (-2) + 0 + 2 + 4 = 0 Step 3: Mean of deviations = 0/5 = 0 Step 4: Mean = a + mean of deviations = 8 + 0 = 8
Which of the following statements about cumulative frequency are correct? (Select all correct options)
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It is obtained by adding frequencies of all preceding classes, It helps in finding the median of grouped data, The last cumulative frequency equals the total number of observations
Step 1: Cumulative frequency = sum of frequencies up to that class Step 2: It's used to locate median class in grouped data Step 3: Last cumulative frequency = total observations (Σf) Step 4: It never decreases, only increases or stays same Step 5: It's not equal to individual frequency except for the first class
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