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Bihar Board Class 11 Commerce Economics · Ch 5: Measures of Central Tendency

Bihar Board Class 11 Commerce Economics · Ch 5: Measures of Central Tendency is an online chapter test in the Bihar Board Class 11 Commerce pattern, covering Measures of Central Tendency. Attempt it on SeatBeat with a timer like the real exam, then see a detailed solution for every question and your score and weak-topic analysis.

30
Questions
20
Minutes
30
Marks
None
Negative marking
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Topics in this test

TopicQuestions
Measures of Central Tendency30

Difficulty: 7 medium · 23 hard

Measures of Central Tendency MCQ questions with answers

The first 3 of 30 questions. Unlock the series for the rest, each with a solution.

  1. Q1. A student's marks are: Economics $80$ (weight $3$), Mathematics $70$ (weight $2$) and English $60$ (weight $1$). The weighted arithmetic mean of the marks is:

    एक विद्यार्थी के अंक इस प्रकार हैं: अर्थशास्त्र $80$ (भार $3$), गणित $70$ (भार $2$) और अंग्रेज़ी $60$ (भार $1$)। अंकों का भारित समांतर माध्य (weighted arithmetic mean) है:

    • A. $66.67$
    • B. $70$
    • C. $88$
    • D. $73.33$
    Solution

    Weighted mean $=\frac{\sum w_iX_i}{\sum w_i}=\frac{80(3)+70(2)+60(1)}{3+2+1}=\frac{440}{6}=73.33$, which differs from the simple unweighted average because the subjects do not carry equal importance.

    भारित माध्य $=\frac{\sum w_iX_i}{\sum w_i}=\frac{80(3)+70(2)+60(1)}{3+2+1}=\frac{440}{6}=73.33$ है, जो सरल अभारित (unweighted) औसत से भिन्न है क्योंकि विषयों का महत्व समान नहीं है।

  2. Q2. If one abnormally large value is present in a data set, which measure of central tendency remains LEAST affected, because it depends only on the position of values in the ordered series and not on their exact magnitude?

    यदि किसी आँकड़ा समूह (data set) में एक असामान्य रूप से बड़ा मूल्य उपस्थित हो, तो केंद्रीय प्रवृत्ति (central tendency) का कौन-सा माप सबसे कम प्रभावित रहता है, क्योंकि वह क्रमबद्ध श्रेणी में मूल्यों की स्थिति पर निर्भर करता है, न कि उनके वास्तविक परिमाण पर?

    • A. Arithmetic Mean / समांतर माध्य (Arithmetic Mean)
    • B. Combined Mean / संयुक्त माध्य (Combined Mean)
    • C. Weighted Mean / भारित माध्य (Weighted Mean)
    • D. Median / माध्यिका (Median)
    Solution

    Median depends only on the position of the middle item in an ordered series, so an extreme value changes it very little, unlike the mean, weighted mean or combined mean, which use the actual magnitude of every value.

    माध्यिका केवल क्रमबद्ध श्रेणी में मध्य मद (middle item) की स्थिति पर निर्भर करती है, इसलिए एक अतिशय मूल्य उसे बहुत कम बदलता है, जबकि माध्य, भारित माध्य (weighted mean) या संयुक्त माध्य प्रत्येक मूल्य के वास्तविक परिमाण का उपयोग करते हैं।

  3. Q3. The average weight of $10$ boys in a class is $20\,kg$ and the average weight of $15$ girls in the same class is $30\,kg$. The combined mean weight of all $25$ students of the class is:

    एक कक्षा के $10$ लड़कों का औसत भार $20\,kg$ है और उसी कक्षा की $15$ लड़कियों का औसत भार $30\,kg$ है। कक्षा के सभी $25$ विद्यार्थियों का संयुक्त (combined) माध्य भार है:

    • A. $32.5\,kg$
    • B. $25\,kg$
    • C. $24\,kg$
    • D. $26\,kg$
    Solution

    Combined mean $=\frac{n_1\bar{X}_1+n_2\bar{X}_2}{n_1+n_2}=\frac{10(20)+15(30)}{25}=\frac{650}{25}=26\,kg$, not the simple average of the two means.

    संयुक्त माध्य $=\frac{n_1\bar{X}_1+n_2\bar{X}_2}{n_1+n_2}=\frac{10(20)+15(30)}{25}=\frac{650}{25}=26\,kg$ होता है, न कि दोनों माध्यों का सरल औसत।

Frequently asked questions

How many questions are in the Bihar Board Class 11 Commerce Economics · Ch 5: Measures of Central Tendency?

30 questions for 30 marks, to be answered in 20 minutes.

Is there negative marking in the Bihar Board Class 11 Commerce Economics · Ch 5: Measures of Central Tendency?

No — wrong answers are not penalised in this test.

Which topics does the Bihar Board Class 11 Commerce Economics · Ch 5: Measures of Central Tendency cover?

Measures of Central Tendency (30 questions).

Is the Bihar Board Class 11 Commerce Economics · Ch 5: Measures of Central Tendency free?

It is part of the BSEB Class 11 Commerce Test Series 2027 — Chapter-wise + Full Tests (43 tests, ₹149). You can first try Accountancy · Ch 1: Introduction to Accounting for free.

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