Statistics — Flashcards
Telangana Board · Class 10 · Mathematics
30 flashcards for Statistics (Telangana Board Class 10 Mathematics) to test yourself on key terms and facts. Sample: "A student recorded the marks of 26.
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A student recorded the marks of 26 children and then made a table with class intervals 0-33, 34-50, 51-75, 76-100. What type of data is this, and why is it useful?
Answer
This is grouped data. Step 1: The raw marks are arranged into class intervals. Step 2: Each interval has a frequency, so the data becomes easier to study. Step 3: Grouped data helps when there are ma…
Find the mean of ungrouped data: 10, 20, 36, 40, 50, 56, 60, 70, 72, 80, 88, 92, 95 with frequencies 1, 1, 3, 4, 3, 2, 4, 4, 1, 1, 2, 3, 1.
Answer
Use the formula: mean = (sum of fi xi) / (sum of fi). Step 1: Add all frequencies. 1 + 1 + 3 + 4 + 3 + 2 + 4 + 4 + 1 + 1 + 2 + 3 + 1 = 30 Step 2: Find fi xi and add them. 10 + 20 + 108 + 160 + 150 +…
Why can the mean of grouped data be different from the mean of the same ungrouped data?
Answer
Grouped data uses class marks instead of exact observations. Step 1: In grouped data, each class is represented by its midpoint. Step 2: This assumes all values in the class are centred at the midpoi…
Find the class mark of the class interval 10-25.
Answer
Use the formula: Class mark = (Upper class limit + Lower class limit) / 2 Step 1: Add the limits. 10 + 25 = 35 Step 2: Divide by 2. 35 / 2 = 17.5 Answer: Class mark = 17.5…
Apply the direct method to find the mean of grouped data when class intervals have class marks 20, 30, 40, 50 and frequencies 6, 11, 7, 4.
Answer
Use the formula: mean = (sum of fi xi) / (sum of fi). Step 1: Multiply each class mark by frequency. 6x20 = 120 11x30 = 330 7x40 = 280 4x50 = 200 Step 2: Add frequencies. 6 + 11 + 7 + 4 = 28 Step 3…
When do you use the assumed mean method for finding mean? Give a short worked idea.
Answer
Use it when the values of xi and fi are large and direct multiplication is tedious. Step 1: Choose an assumed mean a. Step 2: Find di = xi - a. Step 3: Multiply fi by di and add them. Step 4: Use the…
Find the mean by assumed mean method if a = 50, sum of fi di = -360, and sum of fi = 35.
Answer
Use the formula: Mean = a + (sum of fi di) / (sum of fi) Step 1: Substitute the values. Mean = 50 + (-360) / 35 Step 2: Divide. (-360) / 35 = -10.2857... Step 3: Add. Mean = 50 - 10.2857... = 39.71…
What is the formula for the step-deviation method, and why is it useful?
Answer
Formula: Mean = a + ((sum of fi ui) / (sum of fi)) x h where ui = (xi - a) / h Step 1: Choose an assumed mean a. Step 2: Choose h as the class size or a suitable divisor. Step 3: Find ui values. Step…
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