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statistics-and-data-handling-l2 MCQ - Practice Questions with Answers

Solve 30 statistics-and-data-handling-l2 questions for RAS/RPSC preparation.

Practice questions

Q1The observations recorded by a group are 4, 7, 7, 9, 10, 7 and 12. Which value is the mode?

A 7
B 8
C 9
D 56
Explanation

Mode is the value that occurs most often in a data set. Here 7 appears three times, while the other values appear only once; the sum and a central-looking value answer different questions.

Q2Riya has the marks of 5 students in a short mathematics quiz: 6, 8, 8, 9 and 9. Which calculation gives the mean marks?

A (6 + 8 + 8 + 9 + 9) divided by 5
B The middle mark after arranging the marks
C The mark that appears most often
D The highest mark minus the lowest mark
Explanation

Mean is the total of the observations divided by the number of observations, so the five marks must be added and divided by 5. The middle value gives the median, the most repeated value gives the mode, and the difference of extremes does not answer a fair-share question.

Q3In data handling, which sequence matches the usual four verbs used in middle-stage mathematics?

A Represent, collect, interpret, organise
B Collect, organise, represent, interpret
C Classify, average, prove, predict
D Measure, multiply, draw, memorise
Explanation

Data handling moves from collecting observations to organising them, representing them, and then interpreting what the display says. The traps break that order or replace it with unrelated actions such as proving, predicting, multiplying, or memorising.

Q4Karan reads a pie chart and says the largest sector must be a majority. What should the teacher ask him to check?

A Whether the sector has the darkest colour
B Whether the label is written first
C Whether another graph looks neater
D Whether the sector is more than half the circle
Explanation

Karan is confusing largest with majority. A sector can be the largest and still be less than half, so the teacher should connect the word majority with more than half of the circle.

Q5A learner draws a neat bar graph but leaves out the scale on the vertical axis. What is the best teacher response?

A Ask the learner to add a scale and explain what one unit represents
B Give full credit because the bars look equal
C Change the graph into a pie chart immediately
D Ignore the axis because labels are enough
Explanation

The teacher should keep the correct graph choice but repair the missing scale. Asha-type mistakes need prompts about one unit, axis labels and frequency reading, not punishment.

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More questions

6A class records the number of books read by each learner in one month: 2, 3, 2, 5, 3, 2. Which table correctly organises this raw data as a frequency table?

ABooks: 2, 3, 5; Frequency: 3, 2, 1
BBooks: 2, 3, 5; Frequency: 2, 3, 1
CBooks: 2, 3, 4, 5; Frequency: 3, 2, 1, 1
DBooks: 2, 3, 5; Frequency: 1, 1, 1

7Farida wants to show parts of one complete class preference survey. Which representation can show parts of a whole?

AFrequency table only
BLine graph
CCircular graph
DUnsorted raw list

8Match each question about the data set 4, 5, 5, 6, 20 with the suitable measure. Which option is correct?

AFair share: median; middle value: mode; most common value: mean
BFair share: mode; middle value: mean; most common value: median
CFair share: mean; middle value: median; most common value: mode
DFair share: range; middle value: mean; most common value: range

9Imran measures plant heights grouped as 100-109, 110-119 and 120-129 cm. Which graph best matches this grouped numerical data?

APictograph
BHistogram
CPie chart
DMode list

10Meena draws a bar graph for the favourite warm-up games of 28 students. On the vertical axis, one grid interval represents 2 students, but she reads the bar at 6 intervals as 6 students. What is the error?

AShe used a bar graph for separate game categories.
BShe grouped the tally marks in fives.
CShe made a state-wide conclusion from one class.
DShe counted intervals instead of using the scale value on the axis.

11A survey of 36 learners in Class 8B found that 24 learners liked solving data questions in pairs. Which conclusion matches the source, sample size and question asked?

AAll Rajasthan learners prefer pair work for mathematics.
BMost learners in every Class 8 section of the school prefer pair work.
CPair work always improves marks in data handling.
DIn Class 8B, 24 of the 36 surveyed learners preferred solving data questions in pairs.

12Which statement best shows honest interpretation of classroom data?

AThis proves all Indian children prefer cricket
BIn this class survey, cricket had the highest frequency
CThe largest bar is always more than half
DA graph is correct if it is colourful

13Which statement correctly explains why tally marks are useful before drawing a graph from raw classroom observations?

AThey change category data into continuous intervals automatically.
BThey remove the need to check the total number of observations.
CThey decide whether the final graph must be circular.
DThey help count repeated observations quickly and turn raw data into frequencies.

14A class survey asks 32 students in one school which warm-up game they prefer. Which conclusion follows the rule of sample caution?

AMost students in Rajasthan prefer this game.
BThe result tells only about the surveyed class unless more data are collected.
CThe same result will surely be found in every upper-primary class.
DThe survey is invalid because only 32 students were asked.

15The number of saplings counted by 7 learners are 11, 8, 15, 9, 10, 14 and 12. What is the median number of saplings?

A11
B10
C12
D79

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