Descriptive Statistics — Flashcards
CBSE · Class 11 · Applied Mathematics
24 flashcards for Descriptive Statistics (CBSE Class 11 Applied Mathematics) to test yourself on key terms and facts.
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What is the difference between primary and secondary data? Give an example of each.
Answer
Primary data is collected directly from the field or individuals through surveys, observations, or case studies. Example: A teacher measuring students' heights directly. Secondary data is taken from …
Classify the following as univariate, bivariate, or multivariate data: (a) Heights of students in a class (b) Age and height of babies (c) Company profit based on cost, labor, marketing, sales
Answer
(a) Univariate data - involves only one variable (height) (b) Bivariate data - involves two variables (age and height) (c) Multivariate data - involves more than two variables (cost, labor, marketing,…
What are the four scales of measurement? Arrange them in order from least to most informative.
Answer
The four scales of measurement in order from least to most informative: 1. Nominal - Categories with no order (e.g., gender, religion) 2. Ordinal - Categories with order but no equal intervals (e.g.,…
When should you use a histogram vs. a bar graph?
Answer
Histogram: - Used for continuous data (class intervals) - No gaps between bars - Area of bars represents frequency - Shows distribution of quantitative data Bar Graph: - Used for categorical/discrete…
Calculate the arithmetic mean for the following data using direct method: Marks: 10, 15, 20, 25, 30 Frequency: 2, 4, 6, 3, 5
Answer
Using direct method: x̄ = Σfᵢxᵢ/Σfᵢ Calculation: Σfᵢxᵢ = (10×2) + (15×4) + (20×6) + (25×3) + (30×5) = 20 + 60 + 120 + 75 + 150 = 425 Σfᵢ = 2 + 4 + 6 + 3 + 5 = 20 Mean = 425/20 = 21.25 The a…
What is the formula for finding median in grouped data? Define each term.
Answer
Median = l + [(n/2 - cf)/f] × h Where: l = lower limit of median class n = total number of observations cf = cumulative frequency of class preceding median class f = frequency of median class h = cla…
A dataset has values: 2, 3, 5, 5, 5, 6, 6, 7, 8. Find the mode and explain the type of distribution.
Answer
Mode = 5 (appears 3 times, most frequent) This is a unimodal distribution because it has only one mode. Types of modal distributions: - Unimodal: one mode (like this example) - Bimodal: two modes - …
State the empirical relationship between mean, median, and mode for a unimodal distribution.
Answer
For unimodal frequency distributions: Mean - Mode = 3(Mean - Median) This relationship helps in: - Estimating one measure when others are known - Checking calculations for consistency - Understandin…
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- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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