Quantitative Aptitude SSC CGL, SSC quantitative aptitude Free access now

Statistics for SSC CGL | Concepts & Practice | SSC CGL Quantitative Aptitude

Build Statistics accuracy for SSC CGL with concept clarity, key relations, exam-speed methods and approved practice.

Tailored for SSC CGL Quantitative Aptitude. 21 active practice questions. 1 subject mock. Related topics: Probability, Quadratic Equations, Percentage.

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Quick Summary Free

Statistics at a glance

Statistics revision for SSC CGL: understand the base rule, apply the correct formula or relation, check common traps, then practise with approved questions.

Concept

Core idea

SSC Statistics mainly uses descriptive measures such as mean, median and mode, together with simple interpretation of data. Choose the measure according to the question rather than using one formula everywhere.

SSC CGL focus: Solve the core method first, then use the approved practice questions on this page to build exam-speed accuracy.

Short Notes

Fast revision notes

Statistics revision rule: concept → formula/relation → one worked example → timed practice → error review.

Revision

Last-minute points

  • Core concept
  • Key formula/relation
  • Common trap
  • Approved practice
Formula Box Free

Formula / key facts

  • Mean = Sum/Number
  • Median = middle observation after arranging data
  • Mode = most frequent observation
Shortcut Zone Free

Tricks / shortcuts

Always arrange ungrouped data before finding the median; frequency, not magnitude, determines the mode.

Memory Trick

Remember faster

Always arrange ungrouped data before finding the median; frequency, not magnitude, determines the mode.

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Exam Tips

How to score with this topic

  • Read the exact requirement before choosing a shortcut.
  • Keep units, signs and percentage bases consistent.
  • Use the final few seconds to verify direction and magnitude.
Mistakes

Common traps to avoid

  • Using a memorised shortcut without checking its condition.
  • Skipping unit or base conversion.
  • Doing long arithmetic before identifying the underlying relation.
Solved Example

Step-by-step example

Practice example: Find the median of 11, 7, 15, 9, 13, 5 and 17.

Solution: Arrange the observations as 5, 7, 9, 11, 13, 15, 17. The middle observation is 11.

Practice Preview

Before you solve

  1. Find the median of 18, 12, 25, 9, 16 and 21.
  2. Find the mode of 4, 7, 6, 7, 8, 5, 7, 9 and 6.
  3. Find the range of the observations 32, 18, 41, 27, 36 and 22.
Learn the shortcut first

Shortcut before you solve

Statistics becomes easier when you identify the required measure before calculating.

Featured shortcut

Identify the requested measure first: mean uses total/count, median uses ordered position, mode uses frequency.

Exam-use rule

Median is the middle value after ordering; mean is sum divided by count.

Use this in 3 seconds

Median: sort first. Mean: total first. Mode: count frequency.

Faster solving steps

Use this 4-step method before solving to keep your thinking fast and repeatable.

Step 1 Identify relation

Spot the pattern, relationship, or core idea first.

Step 2 Apply same pattern

Use the same rule instead of re-solving from scratch.

Step 3 Eliminate wrong options

Remove confusing choices before comparing the last few.

Step 4 Confirm final answer

Pick the option that matches the shortcut most cleanly.

Practice Questions

Start with the first 10 questions free, then unlock the rest with premium

Now apply the trick on real questions

Use the shortcut above before solving these questions

Identify the requested measure first: mean uses total/count, median uses ordered position, mode uses frequency.

Tip: Always arrange raw data before finding the median.
Real exam shortcut before you solve

Find the median of 3, 7, 5, 9, 1.

Step 1

Arrange the data: 1, 3, 5, 7, 9.

Step 2

The middle value is 5.

Rule

Median is the middle value after ordering; mean is sum divided by count.

3-second trick

Median: sort first. Mean: total first. Mode: count frequency.

Trap to avoid

Do not take the middle value from an unsorted list.

Correct answer

5

Worked example

Find the median of 3, 7, 5, 9, 1.

Thinking path
  • There are five observations.
  • The third value is central after sorting.
  • Therefore median = 5.

Final answer: 5

Why this is fast: Choosing the right statistical measure avoids unnecessary calculations.

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Q1 Easy

The minimum value of a data set is 18 and its range is 37. Find the maximum value.

Concept type: Mean, median, mode and data summary Shortcut used: Identify the requested measure first: mean uses total/count, median uses ordered position, mode uses frequency. Quick hint: Always arrange raw data before finding the median.
Quick idea: Range = maximum - minimum. Therefore maximum = 37 + 18 = 55.
Q2 Easy

In an ordered data set containing 41 observations, which observation represents the median?

Concept type: Mean, median, mode and data summary Shortcut used: Identify the requested measure first: mean uses total/count, median uses ordered position, mode uses frequency. Quick hint: Always arrange raw data before finding the median.
Quick idea: For odd n, median position = (n + 1)/2. Thus (41 + 1)/2 = 21st observation.
Q3 Easy

The frequencies of five successive classes are 4, 7, 9, 6 and 4. What is the cumulative frequency up to the third class?

Concept type: Mean, median, mode and data summary Shortcut used: Identify the requested measure first: mean uses total/count, median uses ordered position, mode uses frequency. Quick hint: Always arrange raw data before finding the median.
Quick idea: Cumulative frequency up to the third class = 4 + 7 + 9 = 20.
Q4 Easy

A frequency distribution has frequencies 5, 8, 12, 9 and 6. Find the total number of observations.

Concept type: Mean, median, mode and data summary Shortcut used: Identify the requested measure first: mean uses total/count, median uses ordered position, mode uses frequency. Quick hint: Always arrange raw data before finding the median.
Quick idea: Total frequency = 5 + 8 + 12 + 9 + 6 = 40.
Q5 Easy

For values 10, 20, 30 and 40, the corresponding frequencies are 3, 7, 9 and 5. Find the mode.

Concept type: Mean, median, mode and data summary Shortcut used: Identify the requested measure first: mean uses total/count, median uses ordered position, mode uses frequency. Quick hint: Always arrange raw data before finding the median.
Quick idea: The highest frequency is 9, corresponding to the value 30. Hence the mode is 30.
Q6 Easy

The observations 8, 12, x, 20 and 24 are in ascending order. If their median is 16, find x.

Concept type: Mean, median, mode and data summary Shortcut used: Identify the requested measure first: mean uses total/count, median uses ordered position, mode uses frequency. Quick hint: Always arrange raw data before finding the median.
Quick idea: For five ordered observations, the median is the third observation. Therefore x = 16.
Q7 Easy

Find the range of the observations 32, 18, 41, 27, 36 and 22.

Concept type: Mean, median, mode and data summary Shortcut used: Identify the requested measure first: mean uses total/count, median uses ordered position, mode uses frequency. Quick hint: Always arrange raw data before finding the median.
Quick idea: Range = maximum - minimum = 41 - 18 = 23.
Q8 Easy

Find the mode of 4, 7, 6, 7, 8, 5, 7, 9 and 6.

Concept type: Mean, median, mode and data summary Shortcut used: Identify the requested measure first: mean uses total/count, median uses ordered position, mode uses frequency. Quick hint: Always arrange raw data before finding the median.
Quick idea: The value 7 occurs three times, more often than any other value. Hence the mode is 7.
Q9 Easy

Find the median of 18, 12, 25, 9, 16 and 21.

Concept type: Mean, median, mode and data summary Shortcut used: Identify the requested measure first: mean uses total/count, median uses ordered position, mode uses frequency. Quick hint: Always arrange raw data before finding the median.
Quick idea: The ordered data are 9, 12, 16, 18, 21, 25. Median = (16 + 18)/2 = 17.
Q10 Easy

Find the median of 11, 7, 15, 9, 13, 5 and 17.

Concept type: Mean, median, mode and data summary Shortcut used: Identify the requested measure first: mean uses total/count, median uses ordered position, mode uses frequency. Quick hint: Always arrange raw data before finding the median.
Quick idea: Arrange the observations as 5, 7, 9, 11, 13, 15, 17. The middle observation is 11.
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FAQ

Frequently asked questions

How should I revise Statistics for SSC CGL?

Revise the core relation, solve one worked example, then attempt a short timed practice set.

Are these official PYQs?

No. Practice questions are labelled from ExamPrepWay's approved original/practice bank unless a verified official source is explicitly shown.