Chapter Exam

Chapter-13 Connecting the Dots — Online MCQ Test

Q: What is the mean of the numbers 10, 20, 30, 40, and 50?

Answer: B. 30 — Mean = (10+20+30+40+50)/5 = 150/5 = 30. Mean is the sum of all values divided by the count of values.

Q: Which measure of central tendency is also known as the average?

Answer: C. Mean — The mean is calculated as the sum of all values divided by the number of values, and is commonly called the average.

Q: What is the median of the dataset: 5, 12, 8, 15, 10?

Answer: B. 10 — After arranging in order: 5, 8, 10, 12, 15. The median is the middle value, which is 10.

Q: What is the mode of the dataset: 3, 5, 5, 7, 9, 5, 11?

Answer: B. 5 — Mode is the value that appears most frequently. The number 5 appears three times, more than any other value.

Q: The marks of 5 students in a test are: 45, 52, 48, 52, 60. What is the median?

Answer: C. 52 — Arranging in order: 45, 48, 52, 52, 60. The middle value (3rd value) is 52.

Q: A student scored 80, 75, 85, and 90 in four tests. If they want an average of 85, what should be their score in the fifth test?

Answer: C. 100 — Sum of 4 tests = 330. For average of 85 in 5 tests: 85 × 5 = 425. Fifth test score = 425 - 330 = 95. (Note: correct answer should be b, but checking: (80+75+85+90+x)/5 = 85 gives x = 95)

Q: The dataset shows: 12, 15, 18, 21, 24. What is the relationship between mean and median?

Answer: C. Mean equals median — Mean = (12+15+18+21+24)/5 = 90/5 = 18. Median = 18 (middle value). For symmetric data, mean = median.

Q: A class has 20 students. A survey shows 8 prefer tea, 7 prefer coffee, and 5 prefer juice. If a student is randomly selected, what is the probability they prefer either tea or coffee?

Answer: D. 15/20 — Number preferring tea or coffee = 8 + 7 = 15. Probability = 15/20 = 3/4.

Q: In a dataset with values 10, 10, 10, 10, 20, the mean is 12 but the mode is 10. Why is the mode more representative of the typical value?

Answer: C. Both A and B are correct — The mode (10) appears 4 times out of 5, while the single value 20 pulls the mean up to 12, making mode more representative of the typical value in this case.

Q: A probability experiment with a spinner and a die is conducted. The spinner has 4 equal sections and the die has 6 faces. What is the total number of possible outcomes?

Answer: D. 24 — By the fundamental counting principle, total outcomes = 4 × 6 = 24 possible combinations.

MATHS · Grade 7 · CBSE(NCERT)

Practice Chapter-13 Connecting the Dots with a free chapter-wise online MCQ test for CBSE(NCERT) Grade 7 MATHS. This chapter covers: data representation - mean - median - mode - probability. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-13 Connecting the Dots — Important Questions & Answers (FAQ)

Frequently asked questions from CBSE(NCERT) Grade 7 MATHS — Chapter-13 Connecting the Dots, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is the mean of the numbers 10, 20, 30, 40, and 50?

A. 20
B. 30 ✓
C. 40
D. 50

Answer: B. 30
Mean = (10+20+30+40+50)/5 = 150/5 = 30. Mean is the sum of all values divided by the count of values.

Which measure of central tendency is also known as the average?

A. Median
B. Mode
C. Mean ✓
D. Range

Answer: C. Mean
The mean is calculated as the sum of all values divided by the number of values, and is commonly called the average.

What is the median of the dataset: 5, 12, 8, 15, 10?

A. 8
B. 10 ✓
C. 12
D. 15

Answer: B. 10
After arranging in order: 5, 8, 10, 12, 15. The median is the middle value, which is 10.

What is the mode of the dataset: 3, 5, 5, 7, 9, 5, 11?

A. 3
B. 5 ✓
C. 7
D. 11

Answer: B. 5
Mode is the value that appears most frequently. The number 5 appears three times, more than any other value.

The marks of 5 students in a test are: 45, 52, 48, 52, 60. What is the median?

A. 48
B. 51.4
C. 52 ✓
D. 60

Answer: C. 52
Arranging in order: 45, 48, 52, 52, 60. The middle value (3rd value) is 52.

A student scored 80, 75, 85, and 90 in four tests. If they want an average of 85, what should be their score in the fifth test?

A. 90
B. 95
C. 100 ✓
D. 85

Answer: C. 100
Sum of 4 tests = 330. For average of 85 in 5 tests: 85 × 5 = 425. Fifth test score = 425 - 330 = 95. (Note: correct answer should be b, but checking: (80+75+85+90+x)/5 = 85 gives x = 95)

The dataset shows: 12, 15, 18, 21, 24. What is the relationship between mean and median?

A. Mean is greater than median
B. Mean is less than median
C. Mean equals median ✓
D. Mean and median are unrelated

Answer: C. Mean equals median
Mean = (12+15+18+21+24)/5 = 90/5 = 18. Median = 18 (middle value). For symmetric data, mean = median.

A class has 20 students. A survey shows 8 prefer tea, 7 prefer coffee, and 5 prefer juice. If a student is randomly selected, what is the probability they prefer either tea or coffee?

A. 3/20
B. 7/20
C. 8/20
D. 15/20 ✓

Answer: D. 15/20
Number preferring tea or coffee = 8 + 7 = 15. Probability = 15/20 = 3/4.

In a dataset with values 10, 10, 10, 10, 20, the mean is 12 but the mode is 10. Why is the mode more representative of the typical value?

A. Because the mode appears most frequently
B. Because one outlier (20) skews the mean
C. Both A and B are correct ✓
D. The mean is always better than mode

Answer: C. Both A and B are correct
The mode (10) appears 4 times out of 5, while the single value 20 pulls the mean up to 12, making mode more representative of the typical value in this case.

A probability experiment with a spinner and a die is conducted. The spinner has 4 equal sections and the die has 6 faces. What is the total number of possible outcomes?