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Measures Of Central Tendency Maths - Measures Of Central Tendency

Jharkhand Board (JAC) - STD 9 - Maths (Jharkhand - 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 2M.C.Q1 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 3M.C.Q1 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 4M.C.Q1 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 5M.C.Q1 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 Marks 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 165 Marks Questions5 Marks
The sum of the deviations of a set of $n$ values $x_1, x_2, x_3 \ldots, x_n$ measured from $15$ and $-3$ are $-90$ and $54$ respectively. Find the value of $n$ and mean.
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Q 175 Marks Questions5 Marks
Explain, by taking a suitable example, how the arithmetic mean alters by:
$i.$ Adding a constant $k$ to each term.
$ii.$ Subtracting a constant $k$ from each term.
$iii.$ Multiplying each term by a constant $k.$
$iv.$ Dividing each term by non-zero constant $k.$
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Q 184 Marks Questions4 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: $9.6, 5.2, 3.5, 1.5, 1.6, 2.4, 2.6, 8.4, 10.3, 10.9$
$i.$ Find the mean $\overline{\text{X}}$
$ii.$ Verify that $\sum\limits_{\text{i}=1}^{10}\Big(\text{X}-\overline{\text{X}}\Big)=0$
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