Statistics — Flashcards
Maharashtra Board · Class 10 · Mathematics
26 flashcards for Statistics (Maharashtra Board Class 10 Mathematics) to test yourself on key terms and facts.
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Find the mean of 40, 42, 43, 45, 47, and 48 using the assumed mean method.
Answer
Step 1: Take assumed mean A = 40. Step 2: Find deviations: 0, 2, 3, 5, 7, 8. Step 3: Add deviations = 25. Step 4: Number of scores = 6, so mean of deviations = 25/6. Step 5: Mean = A + mean of deviati…
Find the mean time required to complete the work from the grouped data: 15-19: 10, 20-24: 15, 25-29: 12, 30-34: 8, 35-39: 5.
Answer
Step 1: Find class marks: 17, 22, 27, 32, 37. Step 2: Multiply class mark by frequency: 17 x 10 = 170 22 x 15 = 330 27 x 12 = 324 32 x 8 = 256 37 x 5 = 185 Step 3: Add products = 1265. Step 4: Add fre…
Apply the step deviation method to find the mean of the investments: 800-1200: 3, 1200-1600: 15, 1600-2000: 20, 2000-2400: 25, 2400-2800: 30, 2800-3200: 7.
Answer
Step 1: Take A = 2200 and g = 400. Step 2: Class marks are 1000, 1400, 1800, 2200, 2600, 3000. Step 3: Find d = x - A: -1200, -800, -400, 0, 400, 800. Step 4: Find u = d/g: -3, -2, -1, 0, 1, 2. Step 5…
A group has 5 scores in ascending order. Which score is the median?
Answer
Step 1: The number of scores is odd, so use the middle position. Step 2: Median position = (n + 1)/2 = (5 + 1)/2 = 3. Step 3: The 3rd score is the median. Answer: The 3rd score…
A group has 8 scores in ascending order. How do you find the median?
Answer
Step 1: The number of scores is even. Step 2: Find the 4th and 5th scores. Step 3: Take their mean. Step 4: Median = mean of the middle two terms. Answer: (4th score + 5th score)/2…
Why are classes made continuous before finding the median in grouped data?
Answer
Watch the scores 10.4 and 15.5. Step 1: In classes like 6-10, 11-15, 16-20, these scores do not fit properly. Step 2: Make classes continuous by changing limits by 0.5. Step 3: The classes become 5.5-…
A class has frequencies 4, 9, 15, 8, 4. Which class is the modal class?
Answer
Step 1: Look for the highest frequency. Step 2: The highest frequency is 15. Step 3: The class with frequency 15 is the modal class. Answer: The class with frequency 15…
Find the mode of grouped data using the formula: modal class 20-30, L = 20, f1 = 12, f0 = 8, f2 = 6, h = 10.
Answer
Step 1: Use the formula Mode = L + [(f1 - f0)/(2f1 - f0 - f2)] x h. Step 2: Substitute values. Mode = 20 + [(12 - 8)/(2(12) - 8 - 6)] x 10 Step 3: Simplify. Mode = 20 + [4/10] x 10 Step 4: Mode = 20 +…
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