Question types

Data Handling II (Central Values) question types

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

167
Questions
5
Question groups
5
Question types
Sample Questions

Data Handling II (Central Values) questions

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

There are $7$ observations in the data and their mean is $11.$ If each observation is multiplied by $2,$ then the mean of new observations is:
  • A
    $11$
  • B
    $13$
  • $22$
  • D
    $55$

Answer: C.

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Which of the following is correct$?$
  • A
    Mode $=\ 2$ Median $-\ 3$ Mean
  • B
    Mode $=\ 3$ Median $-$ Mean
  • C
    Mode $-$ Mean $=\ 3\ ($Median $-$ Mean$)$
  • Mode $-$ Median $=$ Median $-$ Mean

Answer: D.

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The rainfall (in mm) in a city on $7$ days of a certain week was recorded as follows:
Day
Mon
Tue
Wed
Thu
Fri
Sat
Sun
Rainfall (in mm)
$0.0$
$12.2$
$2.1$
$0.0$
$20.5$
$5.3$
$1.0$
Find the range of the rainfall from the above data.
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The rainfall (in mm) in a city on $7$ days of a certain week was recorded as follows:
Day
Mon
Tue
Wed
Thu
Fri
Sat
Sun
Rainfall (in mm)
$0.0$
$12.2$
$2.1$
$0.0$
$20.5$
$5.3$
$1.0$
Find the mean rainfall for the week.
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The rainfall (in mm) in a city on $7$ days of a certain week was recorded as follows:
Day
Mon
Tue
Wed
Thu
Fri
Sat
Sun
Rainfall (in mm)
$0.0$
$12.2$
$2.1$
$0.0$
$20.5$
$5.3$
$1.0$
On how many days was the rainfall less than the mean rainfall.
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The marks (out of $100$) obtained by a group of students in science test are $85, 76, 90, 84, 39, 48, 56, 95, 81$ and $75$. Find the: Highest and the lowest marks obtained by the students.
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The marks (out of $100$) obtained by a group of students in science test are $85, 76, 90, 84, 39, 48, 56, 95, 81$ and $75$. Find the Range of marks obtained.
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The mean of marks scored by $100$ students was found to be $40$. Later on it was discovered that a score of $53$ was misread as $83.$ Find the correct mean.
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Heights of 25 children (in cm) in a school are as given below: $168, 165, 163, 160, 163, 161, 162, 164, 163, 162, 164, 163, 160, 163, 163, 164, 163, 160, 165, 163, 162$ What is the mode of heights? Also, find the mean and median.
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The mean of $200$ items was $50$. Later on, it was 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 233 Marks Question3 Marks
The following observations have been arranged in ascending order. If the median of the data is $63$, find the value of $x: 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95$
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Q 253 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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