"Statistics" question number distribution across years

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Mathematics index on skoool nigeria

JAMB questions for "Mathematics :: Statistics"

Q1

Marks | 2 | 3 | 4 | 5 | 6 | 7 | 8 |

No. of students | 3 | 1 | 5 | 2 | 4 | 2 | 3 |

From the table above, if the pass mark is 5, how many students failed the test?

A

9

B

7

C

6

D

2

E

**Answer:** A

Q4

Find the standard deviation of 2, 3, 5 and 6.

A

√2/_{5}

B

√^{5/}_{2}

C

√6

D

√10

E

**Answer:** B

Q5

In how many ways can a committee of 2 women and 3 men be chosen from 6 men and 5 women?

A

30

B

50

C

100

D

200

E

**Answer:** A

Q6

If three unbiased coins are tossed, find the probability that there are all heads.

A

^{1/}_{9}

B

^{1/}_{8}

C

^{1/}_{6}

D

^{1/}_{3}

E

**Answer:** A

Q7

The probability of student passing any examination is 2/3. If the student takes three examinations, what is the probability that he will not pass any of them?

A

2/3

B

4/9

C

8/27

D

1/27

E

**Answer:** D

Q8

In how many ways can 9 people be seated if 3 chairs are available?

A

720

B

504

C

336

D

210

E

**Answer:** B

Q9

In how many ways can a delegation of 3 be chosen from 5 men and 3 women, if at least 1 man and 1 woman must be included?

A

15

B

28

C

30

D

45

E

**Answer:** D

Q10

What is the mean deviation of x, 2x, x + 1 and 3x, if their mean is 2?

A

0.5

B

1.0

C

1.5

D

2.0

E

**Answer:** A

Q11

5, 8, 6 and k occur with frequencies 3, 2, 4 and 1 respectively and have a mean of 5.7. Find the value of k.

A

4

B

3

C

2

D

1

E

**Answer:** D

Q12

The cummlative frequency curve below shows the distribution of the scores of 50 students in an examination. Find the 36th percentile score.

A

18%

B

28%

C

36%

D

50%

E

**Answer:** B

Q13

The pie chart represents 400 fruits on display in a grocery store. How many apples are in the stores?

A

45

B

50

C

60

D

75

E

**Answer:** B

Q14

The histogram above represents the number of candidates that sat for Mathematics examination in a school. How many candidates scored more than 50 marks?

A

80

B

95

C

100

D

115

E

**Answer:** B

Q15

No. of days | 1 | 2 | 3 | 4 | 5 | 6 |

No. of students | 20 | 2x | 60 | 40 | x | 50 |

The distribution above shows the number of days a group of 260 students were absent from school in a particular term. How many students were absent for at least four days in the terms?

A

180

B

120

C

110

D

40

E

**Answer:** B

Q16

Marks | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |

No. of students | 3 | 4 | 1 | 0 | 4 | 5 | 2 | 1 |

The table above shows the distribution of marks of students in a test. Find the probability of passing the test if the pass mark is 5.

A

3/5

B

2/5

C

7/20

D

1/5

E

**Answer:** B

Q17

If x > 0, find the range of the numbers x -3, 3x + 2, x - 1, 4x, 2x - 1, x - 2, 2x - 2, 3x and 3x + 1

A

3x + 3

B

3x + 1

C

2x + 5

D

2x + 1

E

**Answer:** C

Q18

The probability of picking a letter T from the word OBSTRUCTION is

A

1/11

B

2/11

C

3/11

D

4/11

E

**Answer:** B

Q19

In how many ways can the letters of the word ACCEPTANCE be arranged?

A

10!/2!2!3!

B

10!/2!3!

C

10!/2!2!

D

10!

E

**Answer:** A

Q22

What is the mean of the data t, 2t - 1, t - 2, 2t - 1, 4t and 2t + 2?

A

2t

B

2t - 1

C

^{2}/_{3}t + 1

D

2t + ^{1}/_{3}

E

**Answer:** A

Q23

The bar chart below shows the number of times the words a, and, in, it, the, to appear in a paragraph in a book. What is the ratio of the least frequent word to that of the most frequent word?

A

1/4

B

1/3

C

2/3

D

3/4

E

**Answer:** A

Q24

On a pie chart, there are six sectors of which four angles are 30°, 45°, 60°, 90° and the remaining two angles are in the ratio 2:1. Find the smaller angles of the remaining two angles.

A

15°

B

30°

C

45°

D

60°

E

**Answer:** C

Q25

The result of rolling a fair die 150 times is as summarized in the table below.

Number | 1 | 2 | 3 | 4 | 5 | 6 |

Frequency | 12 | 18 | x | 30 | 2x | 45 |

What is the probability of obtaining 5?

A

3/10

B

1/5

C

1/6

D

1/10

E

**Answer:** B

Q26

The cumulative frequency for 5 ≤ x ≤ 12 from the distribution below is

A

40

B

72

C

22

D

46

E

**Answer:** B

Q27

The pie chart above illustrates the amount of private time a student spends in a week studying various subjects. Find the value of k.

A

90°

B

60°

C

30°

D

15°

E

**Answer:** C

Q29

Marks | 3 | 4 | 5 | 6 | 7 | 8 |

Frequency | 5 | y - 1 | y | 9 | 4 | 1 |

The table above gives the frequency distribution of marks obtained by a group of group of students in a test. If the total mark scored is 200, calculate the value of y.

A

15

B

13

C

11

D

9

E

**Answer:** C

Q30

If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively, find the product of the modal and the median number.

A

36

B

48

C

30

D

40

E

**Answer:** A

Q31

In basket, there are 6 grapes, 11 bananas and 13 oranges. If one fruit is chosen at random, what is the probability that the fruit is either a grape or a banana?

A

6/30

B

5/30

C

17/30

D

11/30

E

**Answer:** C

Q32

The histogram above represents the weights of students who travelled out of their school for an examination. How many people made the trip?

A

78

B

38

C

29

D

69

E

**Answer:** C

Q33

A senatorial candidate had planned to visit seven cities prior to a primary election. However, he could only visit four of the cities. How many different itineraries could be considered?

A

640

B

840

C

520

D

720

E

**Answer:** B

Q34

Age in years | 10 | 11 | 12 |

No. of pupils | 6 | 27 | 7 |

The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?

A

27/40

B

17/20

C

3/30

D

33/40

E

**Answer:** B

Q35

In how many ways can 6 subjects be selected from 10 subjects for an examination?

A

218

B

216

C

215

D

210

E

**Answer:** D

Q36

The response of 160 pupils in a school asked to indicate their favourite subjects is given in the bar chart above. What percentage of the pupils have English and Health Education as their favourite subjects?

A

52%

B

55%

C

36%

D

22%

E

**Answer:** B

Q37

A bag contains 5 black, 4 white and x red marbles. If the probability of picking a red marble is 2/5, find the value of x.

A

6

B

10

C

4

D

8

E

**Answer:** A

Q38

GSM operators | GTN | PLO | Qtel | Cmob |

No. of recharge cards | 5 | 6 | 3 | 6 |

The table below shows the distribution of recharge cards of four major GSM operators. What is the probability that a recharge card selected at random will be GTN or Qtel?

A

2/5

B

3/4

C

3/20

D

1/4

E

**Answer:** A

Q39

The pie chart above shows the expenditure of a family whose income is ₦30,000. If the expenditure on food is twice that on housing and that on school fees is twice that on transport, how much does the family spend on food?

A

₦28,000

B

₦25,500

C

₦12,500

D

₦15,000

E

**Answer:** C

Q40

If the mean of five consecutive integers is 30, find the largest of the numbers.

A

30

B

28

C

34

D

32

E

**Answer:** D

Q41

A final examination requires that a student answers any 4 out of 6 questions. In how many ways can this be done?

A

30

B

20

C

15

D

45

E

**Answer:** C

Q42

In a small village of 500 people, 350 speak the local language while 200 speak pidgin English. What percentage of he population speak both?

A

30%

B

50%

C

10%

D

14%

E

**Answer:** C

Q43

Score | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |

Frequency | 2 | 3 | 5 | 12 | 10 | 6 | 4 | 1 |

The table above shows the scores of a group of students in a Physics test. If the mode is m and the number of students who scored 4 or more is n, what is (n, m)?

A

(33, 12)

B

(33, 4)

C

(22, 4)

D

(12, 4)

E

**Answer:** B

Q44

Three boys shared some oranges. The first received 1/3 of the oranges and the second received 2/3 of the remainder. If the third boy received the remaining 12 oranges, how many oranges did they share?

A

42

B

48

C

54

D

60

E

**Answer:** C

Q45

A box contains 5 blue balls, 3 red balls and 2 white balls. Two balls are selected from the box with replacement replacement. Find the probability of obtaining two blue or two red balls.

A

3/250

B

1/50

C

17/50

D

3/25

E

**Answer:** C

Q46

Scores | 1 | 2 | 3 | 4 | 5 | 6 |

No. of students | 1 | 4 | 5 | 6 | x | 2 |

The table above shows the scores of a group of students in a test. If the average score is 3.5, find the value of x.

A

2

B

4

C

1

D

3

E

**Answer:** A

Q47

The grades of 36 students are shown in the pie chart below. How many students had "excellent"?

A

12

B

7

C

8

D

9

E

**Answer:** B

Q48

The mean age of a group of student is 15 years. when the age of a teacher , 45 years old ,is added to the ages of the student , the mean of their ages becomes 18 years ,find the number of student in the group

A

7

B

9

C

15

D

42

E

**Answer:** B

Q49

The weights of 10 pupils in a class are 15 kg ,16kg, 17kg, 18kg, 16kg, 17kg, 17kg,18kg and 16kg. What is the range of this distribution.

A

1

B

2

C

3

D

4

E

**Answer:** C

Q51

In how many ways can 2 students be selected from a group of 5 student in a debating competition

A

10 ways

B

15 ways

C

20 ways

D

25 ways

E

**Answer:** A

Q52

A commitee of six is to be formed by a state governor from nine commissioners and three members of the state house of assembly,In how many ways can the members of the commitee be chosen so as to include one member of the house of assembly?

A

924 ways

B

840 ways

C

462 ways

D

378 ways

E

**Answer:** D

Q53

Some white balls were put in a basket containing twelve red balls and sixteen black balls .If the probability of picking a white ball from the basket is ^{3}/_{7 }how many white balls were introduced?

A

32

B

28

C

21

D

12

E

**Answer:** C

Q54

A container has 30 gold medals , 22 silver medals and 18 bronze medals .if one medal is selected at random from the container , what is the probability that it is not a gold medal?

A

^{4}/_{7}

B

^{3/}_{7}

C

^{11}/35

D

^{9/}_{35}

E

**Answer:** A

Q55

An unbiased die is rolled 100 times and the outcome is tabulated as follows:

Number | 1 | 2 | 3 | 4 | 5 | 6 |

Frequency | 13 | 15 | 22 | 14 | 20 | 16 |

What is the probability of obtaining 5?

A

1/6

B

1/5

C

1/4

D

1/2

E

**Answer:** B

Q56

Value | 0 | 1 | 2 | 3 | 4 |

Frequency | 1 | 2 | 2 | 1 | 9 |

Find the mean of the distribution above.

A

4

B

3

C

1

D

2

E

**Answer:** B

Q57

The mean of the numbers 3, 6, 4, x , and 7 is 5, find the standard deviation.

A

2

B

3

C

√3

D

√2

E

**Answer:** D

Q58

A bag contains 5 black balls and 3 red balls . Two balls are picked at a random without replacement. what is the probability that a black and a red balls are picked?

A

5/14

B

13/28

C

3/14

D

15/28

E

**Answer:** D

Q59

On a pie chart, there are four sectors which three angles are 45°, 90° and 135°. If the smallest sector represents ₦28.00, how much is the largest sector?

A

₦48.00

B

₦96.00

C

₦42.00

D

₦84.00

E

**Answer:** D