Question types

Measures of central tendency question types

73 questions across 6 question groups — pick any mix to generate a Statistics paper with step-by-step answer keys.

73
Questions
6
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 1MCQ1 Mark
The mean of a variable $x$ is $4$ If $y=13- x$, what will be the mean of $y$ ?
  • A
    $4$
  • B
    $45$
  • $5$
  • D
    $1$

Answer: C.

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Q 2MCQ1 Mark
If the mean of $50$ observations is $15$, what will be the sum of these observations?
  • A
    $65$
  • B
    $4$
  • C
    $50$
  • $65$

Answer: D.

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Q 3MCQ1 Mark
If $60 \%$ observations in the given data have the value more than $19$ , what will be the fourth decile for the data?
  • A
    $40$
  • $19$
  • C
    $60$
  • D
    $81$

Answer: B.

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Q 4MCQ1 Mark
If the numbers of children in $10$ families are $1,,0,3,,,1,0,4,$, find the mode for the number of children per family
  • $3$
  • B
    $1$
  • C
    $4$
  • D
    $0$

Answer: A.

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Q 5MCQ1 Mark
The observations in data are $k, k, 3 k, 4 k, 5 k$ where $k$ is a positive number If the median is $30$ , find the value of $k$
  • A
    $30$
  • B
    $15$
  • $10$
  • D
    $6$

Answer: C.

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Q 71 Marks Each1 Mark
64 matches were played in a football tournament and the number of goals per match are a Follows.
No. of goals $0$ $1$ $2$ $3$ $4$ $5$
No. of matches $3$ $8$ $24$ $14$ $13$ $2$

Find the mode of number of goals per match.
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Q 112 Mark Each2 Marks
The death rates of different age-groups and their suitable weights are given in the following table. Find the average death rate using weighted mean.
Age (years)0-2525-6060 or above
Death rate118.524
Weight361
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Q 122 Mark Each2 Marks
After a person purchased a painting, its value increased by $50 \%$ in the first year and it decreased by $10 \%$ in the successive year. Find the average growth rate of the value using an appropriate formula.
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Q 132 Mark Each2 Marks
The mean of price $(p)$ of an item in the market is $₹ 10$. If the demand $(d)$ function of that item is $p=250-3 d$, find the mean for demand of that item.
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Q 142 Mark Each2 Marks
The geometric mean of two observations is 30 . If the value of one observation is 20 , find the value of another observation.
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Q 152 Mark Each2 Marks
The weights (in gram) of 9 oranges selected from a box are as follows.
40,50,60,65,45,55,40,90,62
Find the median for weights of oranges.
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Q 163 Marks Each3 Marks
The number of trucks arriving in a vegetable market on seven days of a week are as follows:
$20,12,16,15,17,25,8$
Obtain the mean and median for number of trucks and hence find the mode.
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Q 183 Marks Each3 Marks
The average weight of $10$ employees working in an office is $58 \ kg$. Among the employees appointed in a recruitment drive, $5$ female employees had an average weight of $52 \ kg$ and $4$ male employees had an average weight of $60 \ kg$. Find the mean weight of all the employees in the office after the recruitment.
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Q 193 Marks Each3 Marks
The value of mean obtained from $35$ observations of a variable is $140$ . Later, it was found that the value of one observation was taken as $59$ instead of $95$ . Find the corrected mean for the variable.
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Q 203 Marks Each3 Marks
A person has received returns at the rate of $7 \%, 6 \%, 8 \%$ and $8.5 \%$ respectively for four years on his investment. Find the average percentage return using an appropriate method.
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