Start learning →

Kerala SSLC (Class 10) Statistics and Probability — practice questions — page 3

Explore 77 free Statistics and Probability questions in Kerala SSLC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Statistics and Probability with Quill →

Statistics and Probability questions and exercises with answers

Showing questions 61–77 of 77.

On a less-than ogive, the median is read off by drawing a horizontal line at:Read the answer and worked solution →A cumulative frequency table's final entry equals:Read the answer and worked solution →Probability of any event satisfies:Read the answer and worked solution →P(not A) equals:Read the answer and worked solution →Distance between (1, 2) and (4, 6) equals:Read the answer and worked solution →Midpoint of A(2, 4) and B(6, 10) is:Read the answer and worked solution →Mean of 5 numbers is 12. Their sum equals:Read the answer and worked solution →For an even number of sorted values, the median is:Read the answer and worked solution →CLASS10 · Mathematics · Distance Formula — Gap FillRead the answer and worked solution →CLASS10 · Mathematics · Mean, Median, ModeRead the answer and worked solution →CLASS10 · Mathematics · Probability — BasicsRead the answer and worked solution →CLASS10 · Mathematics · Statistics — True or FalseRead the answer and worked solution →SAT · Mathematics · Slope from Two Points — Gap FillRead the answer and worked solution →The median of the eleven monthly incomes (with the high-income household included) equals:Read the answer and worked solution →Swipe LEFT if the statistic is the mean, RIGHT if it is the median.Read the answer and worked solution →Tap the steps in order to find the median of a list of numbers.Read the answer and worked solution →Drag each Indian-mathematics milestone to its century or year on the timeline.Read the answer and worked solution →

Worked practice questions

On a less-than ogive, the median is read off by drawing a horizontal line at:

  1. y = n/3
  2. y = n/2
  3. y = n/4
  4. y = n
Show answer and solution

Correct answer: B. y = n/2

Median splits the data in half — so the horizontal line is at y = n/2, and the x-intercept where it meets the curve is the median.

Open this question →

A cumulative frequency table's final entry equals:

  1. the total frequency
  2. the modal frequency
  3. zero
  4. half the total
Show answer and solution

Correct answer: A. the total frequency

By definition, the last cumulative frequency = sum of all individual frequencies = total number of observations.

Open this question →

Probability of any event satisfies:

  1. 0 ≤ P ≤ 1
  2. 0 ≤ P ≤ 100
  3. −1 ≤ P ≤ 1
  4. P ≥ 1
Show answer and solution

Correct answer: A. 0 ≤ P ≤ 1

The probability of an event $E$, denoted as $P(E)$, is defined as the ratio of the number of favorable outcomes to the total number of outcomes in a sample space. 1. **Minimum Value**: The smallest number of favorable outcomes is $0$ (this happens when the event is impossible). Therefore, the minimum probability is: $$P(E) = \frac{0}{n} = 0$$ 2. **Maximum Value**: The largest number of favorable outcomes is equal to the total number of outcomes $n$ (this happens when the event is certain). Therefore, the maximum probability is: $$P(E) = \frac{n}{n} = 1$$ 3. **Conclusion**: Since the number of favorable outcomes $m$ must satisfy $0 \leq m \leq n$, it follows that dividing by $n$ gives: $$\frac{0}{n} \leq \frac{m}{n} \leq \frac{n}{n}$$ $$0 \leq P(E) \leq 1$$ Thus, the probability of any event must be between 0 and 1, inclusive.

Open this question →

How to practise

  1. Choose a Statistics and Probability question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

Put it into practice

Continue with Statistics and Probability practice for Kerala SSLC (Class 10). Read explanations as you go. No signup form needed to start.

Practise Statistics and Probability →

More Mathematics topics

Real Numbers and PolynomialsMensuration: Surface Areas & VolumesArithmetic ProgressionQuadratic EquationsIntroduction to TrigonometryAlgebra: Simultaneous Linear Equations & QuadraticsTriangles and CirclesAlgebra: Equations, Inequations & Matrices