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Question (1)

QN0030778

The average of five numbers is 24. If four of the numbers are 18, 20, 25 and 27, what is the fifth number?

(A) 28
(B) 30
(C) 32
(D) 35

Correct Answer: B

Explanation:

Total of five numbers = 24 × 5 = 120. Sum of the given four numbers = 90. Fifth number = 120 − 90 = 30.

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Question (2)

QN0030779

Which of the following is a statistical question?

(A) What is the capital of Rajasthan?
(B) How many students in Class VII travel to school by bicycle?
(C) Who is the Principal of your school?
(D) What is 25 × 8?

Correct Answer: B

Explanation:

A statistical question requires collecting data that is expected to vary from one individual or situation to another.

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Question (3)

QN0030780

The data are 14, 18, 20, 16, 12 and 10. What is the median?

(A) 15
(B) 16
(C) 17
(D) 18

Correct Answer: A

Explanation:

Arrange the data: 10, 12, 14, 16, 18, 20. Median = (14 + 16) ÷ 2 = 15.

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Question (4)

QN0030781

Eight students scored 18, 20, 24, 16, 22, 25, 19 and 28 marks. The teacher adds 48 marks by mistake instead of 18. By how much will the mean increase?

(A) 2 marks
(B) 3 marks
(C) 3.75 marks
(D) 4 marks

Correct Answer: C

Explanation:

The total increases by 48 − 18 = 30 marks. Increase in mean = 30 ÷ 8 = 3.75 marks.

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Question (5)

QN0030782

Which measure of central tendency is least affected by an outlier?

(A) Mean
(B) Median
(C) Sum
(D) Range

Correct Answer: B

Explanation:

The median depends on the middle position of the data and is least affected by extreme values.

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Question (6)

QN0030783

A batsman scores 45, 52, 38, 0 and 65 runs in five matches. What is his average score?

(A) 38
(B) 39
(C) 40
(D) 41

Correct Answer: C

Explanation:

Total runs = 45 + 52 + 38 + 0 + 65 = 200. Average = 200 ÷ 5 = 40.

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Question (7)

QN0030784

Which statement about a dot plot is correct?

(A) It always shows data in chronological order.
(B) It helps us observe the spread and clustering of data.
(C) It cannot display repeated values.
(D) It always starts from zero.

Correct Answer: B

Explanation:

A dot plot clearly shows the spread, clustering and frequency of data values.

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Question (8)

QN0030785

The heights (in cm) of seven plants are 20, 22, 24, 26, 80, 23 and 25. Which value is an outlier?

(A) 20
(B) 22
(C) 26
(D) 80

Correct Answer: D

Explanation:

The value 80 is much larger than the remaining values, so it is an outlier.

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Question (9)

QN0030786

The average monthly rainfall during the first four months of a year is 42 cm. If the rainfall in the first three months is 36 cm, 45 cm and 39 cm, what is the rainfall in the fourth month?

(A) 42 cm
(B) 45 cm
(C) 48 cm
(D) 50 cm

Correct Answer: C

Explanation:

Total rainfall = 42 × 4 = 168 cm. Rainfall in the first three months = 120 cm. Fourth month = 168 − 120 = 48 cm.

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Question (10)

QN0030787

A clustered (double) bar graph is most useful when we want to

(A) show only one set of data.
(B) compare two related sets of data across the same categories.
(C) calculate the median directly.
(D) arrange numbers in ascending order.

Correct Answer: B

Explanation:

A clustered (double) bar graph places two bars side by side for each category, making comparison between two related data sets easy.

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Question (1)

The average of five numbers is 24. If four of the numbers are 18, 20, 25 and 27, what is the fifth number?

Explanation:

Link:

Question (2)

Which of the following is a statistical question?

Explanation:

Link:

Question (3)

The data are 14, 18, 20, 16, 12 and 10. What is the median?

Explanation:

Link:

Question (4)

Eight students scored 18, 20, 24, 16, 22, 25, 19 and 28 marks. The teacher adds 48 marks by mistake instead of 18. By how much will the mean increase?

Explanation:

Link:

Question (5)

Which measure of central tendency is least affected by an outlier?

Explanation:

Link:

Question (6)

A batsman scores 45, 52, 38, 0 and 65 runs in five matches. What is his average score?

Explanation:

Link:

Question (7)

Which statement about a dot plot is correct?

Explanation:

Link:

Question (8)

The heights (in cm) of seven plants are 20, 22, 24, 26, 80, 23 and 25. Which value is an outlier?

Explanation:

Link:

Question (9)

The average monthly rainfall during the first four months of a year is 42 cm. If the rainfall in the first three months is 36 cm, 45 cm and 39 cm, what is the rainfall in the fourth month?

Explanation:

Link:

Question (10)

A clustered (double) bar graph is most useful when we want to

Explanation:

Link:

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