Statistics — Flashcards
Kerala Board · Class 10 · Mathematics
20 flashcards for Statistics (Kerala Board Class 10 Mathematics) to test yourself on key terms and facts. Sample: "What is the mean of the following.
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What is the mean of the following monthly incomes (in ₹): 16500, 21700, 18600, 21050, 19500, 17000, 21000, 18000, 22000, 17500?
Answer
Step 1: Add all values 16500 + 21700 + 18600 + 21050 + 19500 + 17000 + 21000 + 18000 + 22000 + 17500 = 192850 Step 2: Divide by number of observations Mean = 192850 ÷ 10 = ₹19,285 Therefore, the mea…
Find the median of the following data arranged in ascending order: 16500, 17000, 17500, 18000, 18600, 19500, 21000, 21050, 21700, 22000
Answer
Step 1: Count the observations Number of observations (n) = 10 (even number) Step 2: Find middle positions For even n, median positions are n/2 and (n/2 + 1) Positions: 5th and 6th values Step 3: Id…
What is the median? How is it different from the mean?
Answer
MEDIAN: The middle value when data is arranged in ascending or descending order. KEY DIFFERENCES: 1. Mean is affected by extreme values (outliers), median is not 2. Mean uses all values in calculatio…
Find the median from this frequency table: Haemoglobin (g/dL) | Frequency 12.0 | 2 12.4 | 3 12.7 | 5 13.1 | 6 13.3 | 4 13.6 | 3 14.0 | 2
Answer
Step 1: Find total observations N = 2 + 3 + 5 + 6 + 4 + 3 + 2 = 25 Step 2: Find median position Median position = (N + 1)/2 = 26/2 = 13th value Step 3: Create cumulative frequency 12.0: 2, 12.4: 5, …
Calculate the median daily wage from this grouped data: Daily Wages (₹) | Workers 400-500 | 6 500-600 | 7 600-700 | 10 700-800 | 9 800-900 | 5 900-1000 | 4
Answer
Step 1: Total workers N = 6 + 7 + 10 + 9 + 5 + 4 = 41 Step 2: Median position = (N + 1)/2 = 42/2 = 21st worker Step 3: Cumulative frequency <500: 6, <600: 13, <700: 23, <800: 32, <900: 37, <1000: 41…
What is the formula for calculating median from grouped data?
Answer
MEDIAN FORMULA FOR GROUPED DATA: Median = L + [(N/2 - CF)/f] × h Where: L = Lower boundary of median class N = Total number of observations CF = Cumulative frequency before median class f = Frequenc…
A dataset has 35 observations. In which position will the median lie?
Answer
Step 1: Identify if N is odd or even N = 35 (odd number) Step 2: Apply median position formula for odd N Median position = (N + 1)/2 Median position = (35 + 1)/2 = 36/2 = 18 Step 3: Interpretation T…
Why might the mean give a misleading impression compared to the median? Give an example.
Answer
REASON: Mean is heavily affected by extreme values (outliers), while median is resistant to outliers. EXAMPLE: 10 household incomes: ₹16,500 to ₹22,000 Mean = ₹19,285 (reasonable representation) Add…
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Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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