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Measures Of Central Tendency Maths - Measures Of Central Tendency

Maharashtra Board - STD 9 - Maths (MSBSHSE - English Medium). 81 questions in this chapter.

Question types

Measures Of Central Tendency question types

81 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

81
Questions
5
Question groups
5
Question types
Sample Questions

Measures Of Central Tendency questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 2MCQ(1M)1 Mark
The algebraic sum of the deviations of a set of $n$ values from their mean is:
  • ✓
    $0$
  • B
    $n - 1$
  • C
    $n$
  • D
    $n + 1$

Answer: A.

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Q 3MCQ(1M)1 Mark
For the set of numbers $2, 2, 4, 5$ and $12,$ which of the following statements is true?
  • A
    Mean $=$ Median.
  • ✓
    Mean $>$ Mode.
  • C
    Mean $>$ Mode.
  • D
    Mode $=$ Median.

Answer: B.

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Q 4MCQ(1M)1 Mark
The mean of $n$ observations is $\overline{\text{X}}.$ If each observation is multiplied by $k,$ the mean of new observations is :
  • ✓
    $\text{k}\overline{\text{X}}$
  • B
    $\frac{\overline{\text{X}}}{\text{k}}$
  • C
    $\overline{\text{X}}+\text{k}$
  • D
    $\overline{\text{X}}-\text{k}$

Answer: A.

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Q 5MCQ(1M)1 Mark
The empirical relation between mean, mode and median is:
  • ✓
    Mode $= 3 $ Median $- 2$ Mean.
  • B
    Mode $= 2$ Median $- 3$ Mean.
  • C
    Median $= 3$ Mode $- 2$ Mean.
  • D
    Mean $= 3$ Median $- 2$ Mode.

Answer: A.

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Q 133 Mark Question3 Marks
Find the median of the following observations: 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33. If 92 is replaced by 99 and 41 by 43 in the above data, find the new median?
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Q 164 Mark Question4 Marks
Duration of sunshine(in hours) in Amritsar for first 10 days of August 1997 as reported by the Meterological Department are given as follows: 9.6, 5.2, 3.5, 1.5, 1.6, 2.4, 2.6, 8.4, 10.3, 10.9
  1. Find the mean $\overline{\text{X}}$
  2. Verify that $\sum\limits_{\text{i}=1}^{10}\Big(\text{X}-\overline{\text{X}}\Big)=0$
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Q 215 Mark Question5 Marks
The sum of the deviations of a set of n values $x_1, x_2, x_3,..., x_n$ measured from $15$ and $-3$ are $-90$ and $54$ respectively. Find the value of n and mean.
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Q 225 Mark Question5 Marks
Explain, by taking a suitable example, how the arithmetic mean alters by:
  1. Adding a constant k to each term.
  2. Subtracting a constant k from each term.
  3. Multiplying each term by a constant k.
  4. Dividing each term by non-zero constant k.
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