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Measures Of Central Tendency MATHS - Measures Of Central Tendency

Rajasthan Board (RBSE) - STD 9 - MATHS (Rajasthan - 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 1M.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 2M.C.Q1 Mark
For the set of numbers 2, 2, 4, 5 and 12, which of the following statements is true?
  1. Mean = Median.
  2. Mean > Mode.
  3. Mean > Mode.
  4. Mode = Median.
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Q 3M.C.Q1 Mark
The empirical relation between mean, mode and median is:
  1. Mode = 3 Median - 2 Mean.
  2. Mode = 2 Median - 3 Mean.
  3. Median = 3 Mode - 2 Mean.
  4. Mean = 3 Median - 2 Mode.
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Q 4M.C.Q1 Mark
If the mean of five observations x, x + 2, x + 4, x + 6, x + 8, is 11, then the mean of first three observations is:
  1. 9
  2. 11
  3. 13
  4. None of these.
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Q 5M.C.Q1 Mark
The following is the data of wages per day : 5, 4, 7, 5, 8, 8, 8, 5, 7, 9, 5, 7, 9, 10, 8 The mode of the data is:
  1. 7
  2. 5
  3. 8
  4. 10
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Q 102 Marks Questions2 Marks
The mean of 200 items was 50. Later on, it was on discovered that the two items were misread as 92 and 8 instead of 192 and 88. Find the correct mean.
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Q 143 Marks Question3 Marks
The mean weight per student in a group of 7 students is 55kg. The individual weights of 6 of them (in kg) are 52, 54, 55, 53, 56 and 54. Find the weight of the seventh student.
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Q 165 Marks Questions5 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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Q 175 Marks Questions5 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 184 Marks Questions4 Marks
Find the values of n and $\overline{\text{X}}$ in the following case:$\sum\limits^\text{n}_{\text{i}=1}(\text{x}_\text{i}-12)=-10$ and $\sum\limits^\text{n}_{\text{i}=1}(\text{x}_\text{i}-3)=62$
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Q 194 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
  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 214 Marks Questions4 Marks
The weights (in kg) of 15 students are: 31, 35, 27, 29, 32, 43, 37, 41, 34, 28, 36, 44, 45, 42, 30. Find the median. If the weight 44kg is replaced by 46kg and 27kg by 25kg, find the new median.
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