MCQ Questions

Question No. 1

A shoe dealer recorded the shoe sizes sold in one week as follows:

Answer :

a) Create a frequency distribution table for this information.

b) Which shoe size was most popular?

Question No. 2

Which of these data are qualitative and which are quantitative? For each example of quantitative data, state whether the data are discrete or continuous.

Answer :

a) The number of passengers on a bus.

b) The temperature in Lagos at midday.

c) The number of oranges in a bag.

d) Different types of cars.

e) The ways in which students travel to school.

f) The number of goals scored in a football match.

g) Colours of the rainbow.

h) The number of colours in the rainbow.

Question No. 3

Which of these data are qualitative or quantitative? For quantitative data, state whether the data are discrete or continuous.

Answer :

a) The different hair colours of 50 nurses.

b) The types of cars passing through a particular checkpoint.

c) The number of peas in a pod.

d) The number of newspapers sold at a particular kiosk.

e) The height of students in your class.

f) The mass (in g) of maize produced by each of 100 plants.

Question No. 4

You want to investigate the internet safety for children. You decide to draw up a questionnaire to collect the data.

Answer :

a) Who would you ask to complete this questionnaire?

b) Design five questions for the questionnaire.

c) Below is an example of a question that was asked on a similar questionnaire on internet safety for children. How often are you bullied on the internet? Tick the relevant answer. Provide two reasons why this is not a good question for the survey, and give suggestions how the question can be improved.

Question No. 5

Explain what the following means.

Answer :

a) population

b) sample

c) sampling bias

d) random sample

Question No. 6

You want to conduct a survey to find out what movies people like to watch.

Answer :

a) How would you conduct sampling for this survey?

b) Design a suitable questionnaire to determine: i) how many movies they watch per month; ii) what movie genres people prefer.

Question No. 7

Use tallies to record:

Answer :

a) the number of matchsticks per box

b) the number of students in the class and their shoe sizes

c) the number of students in the class, and their ages

Question No. 8

Collect data on how each student travels to school.

Answer :

a) Count how many students travel by bicycle, bus, motorbike, motorcar or on foot.

b) Show your data in the form of a tally for each type of transport.

Question No. 9

Twenty-four JSS3 students were asked how many counting sticks they had brought to school, and the following numbers were recorded:Draw a frequency distribution table for the data.

Answer :

Question No. 10

Here are some raw data that were collected to show the number of children in the families in a village.

Answer :

a) Copy and complete the table.

b) What does each frequency represent?

c) How many families have four children?

d) Which is the most frequently occurring number of children in a family?

e) How many families were questioned in this survey?

Question No. 11

Find the mean of each of these data sets.

Answer :

a) 41, 26, 17, 64, 72, 65, 85, 20, 41, 26

b) 23, 27, 99, 75, 44, 17, 61, 27

c) 58, 87, 87, 49, 86, 10, 87, 55, 13, 63, 87

d) 88, 6, 69, 34, 6, 82, 81, 82, 70, 70, 70, 65, 69, 16

e) 43, 82, 70, 56, 69, 21, 87, 22, 87, 78, 22, 87, 82

f) 26, 89, 99, 100, 26

g) 99, 40, 26, 99, 58

Question No. 12

Find the mode of each data set in Question 1.

Answer :

Question No. 13

Find the median of each data set in Question 1.

Answer :

Question No. 14

Find the mean, median and mode of these data sets.

Answer :

a) 24, 53, 38, 39, 51

b) 11, 9, 10, 9, 0, 9, 13

c) 72, 78, 63, 49, 81, 50, 56

d) x + 3y, 2x – y, 7x + y, –2x

Question No. 15

During one school term, the sports teacher kept a record of the goals that members of the school’s first eleven scored. The record stated: 1 boy scored 8 goals; 3 boys scored 4 goals each; 2 boys scored 3 goals each; 3 boys scored 2 goals each; 1 boy scored 1 goal; the goalkeeper did not save any goals. Find:

Answer :

a) the mean goal

b) the median goal

c) the modal goal

Question No. 16

The marks obtained by students in a test are 4, 9, 3, x and 9. The median is 5, the mode is 4 and the mean is 6.5. Find the missing mark.

Answer :

Question No. 17

Find the mean, the mode and the median of these data sets.

Answer :

a) 7, 4, 1, 3, 4, 9, 8, 11, 9, 9, 2

b) 127, 123, 125, 123, 124, 126

c) 1, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 8, 9

d) 70, 80, 90, 90, 100, 100, 120

Question No. 18

A number of students were asked to estimate the height (in metres) of the school flagpole. The following results were recorded: 9, 10, 13, 8, 9, 12, 8, 10, 11, 12, 11, 14, 10, 10, 12, 12, 9, 12, 8, 9, 7, 11, 9, 11, 12.

Answer :

a) How many students took part in this exercise?

b) Find the mode, mean and median of the estimations.

c) What is the best estimate you can make for the height of the flagpole?

Question No. 19

Construct a frequency table for the data set below, and find:

Answer :

a) the mean

b) the mode

c) the median

Question No. 20

The table shows the salary, to the nearest thousand ₦, earned by workers in a small dairy company.

Answer :

a) Calculate the mean frequency distribution of the data set.

b) Write a sentence explaining what your answer to Question 1(a) tells you about the salaries of the workers.

Question No. 21

A meteorological service measured the rainfall (to the nearest cm) for each month for a period of one year. The results are shown in the table.

Answer :

a) Which was the wettest month in this year?

b) What was the average rainfall for this year?

Question No. 22

A man kept count of the number of letters he received each day over a period of 60 days. The results are shown below. For this distribution, find:

Answer :

a) the mode

b) the median

c) the mean

Question No. 23

Osarogie keeps chickens and records the number of eggs the chickens produce each day. The results for one month are shown in the table. Determine:

Answer :

a) the mean

b) the median

c) the mode

Question No. 24

A store has the following jeans sizes in stock: (see table).

Answer :

a) Copy and complete the tally chart for the above data set.

b) Which average is the most suitable for the given data set – the mean, median or mode? Give a reason for your answer.

c) Find the following averages for the data: i) mean; ii) mode; iii) median.

Question No. 25

Find the mean, median, mode and range of the following data sets:

Answer :

a) 5; 6; 6; 8; 8; 9; 11; 13; 14; 17

b) 0.85; 0.88; 0.89; 0.93; 0.94; 0.96

c) x | 2 | 4 | 3 | 5 | 6 | 5 | 7 ; f | 1 | 3 | 8 | 10 | 5 | 4 | 2

Question No. 26

The heights, in centimetres, of the girls in a soccer team are: 175; 168; 175; 176; 173; 168; 169; 176; 169; 191; 176 cm. Find the mean, mode, median and range of the heights of the girls.

Answer :

Question No. 27

Here is a list of the maximum temperatures for a week, in degrees Celsius: 16; 3; 15; 25; 20; 19; 19.

Answer :

a) Give the mean, median, mode and range of the temperatures.

b) If the person who read the temperatures discovered that they had made a mistake and the 3 degrees was meant to be 23 degrees, how would this affect your summary of the data?

Question No. 28

Given the data set: 7; 7; 24; 5; 2.

Answer :

a) Find the mean, median, mode and range.

b) One number is added to the data set. What could that number be if: i) the mode remains the same ii) the median remains the same iii) the mean remains the same iv) the mean is increased by 2?

c) One number is removed from the data set. What could that number be if: i) the range and median remain unchanged ii) the mean is increased by 1?

Question No. 29

In preparation for the 2018 Soccer World Cup, statisticians prepared a list of the highest scoring teams in Soccer World Cup history. Use the information to complete the table on the next page. Fill in the five scores that were considered, ranking them from highest (position 1) to lowest (position 5). • The lowest team score is 1 009 points. • The range is 1 003 points. • Spain have scored 1 77 more points than England, but 589 points less than Germany. • The mean number of points scored by the

Answer :

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