MCQ Questions

Question No. 1

For each of the following data sets, calculate: (i) the mean (ii) the median (iii) the mode (iv) the range

Answer :

a) {3, 8, 9, 17, 35, 38, 39, 42, 44}

b) {24, 60, 33, 60, 24, 94, 70, 57, 84, 81, 97, 42, 31, 56}

c) {−13, 4, 11, −16, 18, 5, −7, 3, 5, −7, −23, 10, 14}

d) {7.6, −5.2, 7.5, 5.9, −8.5, 5.1, −1.1, 8.8, 7.5, 9.9, 0.3, 8.4}

Question No. 2

In a History test out of 50 marks, the median score was 28. What does this statistic tell the teacher?

Answer :

Question No. 3

In a Geography test out of 50 marks, the range was 42. What does this statistic tell the teacher?

Answer :

Question No. 4

For a school project, an SS1 student wrote down the different types of vehicles that drove past her house one Saturday morning, using the key B = Buses, C = Cars, T = Taxis and O = Other. Summarise this data in a frequency table.

Answer :

Question No. 5

A teacher asked her students to estimate the number of glasses of water that they drink every day.

Answer :

a) Summarise this data in a frequency table.

b) Use your frequency table (not the original data) to calculate: (i) the mean (ii) the median (iii) the mode (iv) the range of this data.

c) What percentage of these students estimate that they drink at least four glasses of water per day?

Question No. 6

Check each table against the raw data for the corresponding team and make sure that you agree with the numbers in the table.

Answer :

Question No. 7

In which table is the least detail lost?

Answer :

Question No. 8

In which table is the most detail lost?

Answer :

Question No. 9

If the pass mark for the practical was 70%, which table(s) would show Ms Bakare how many students in the corresponding team(s) had passed the practical?

Answer :

Question No. 10

Ms Bakare wants to know how many students in each team scored less than 10 out of 30 for the practical. Which table(s) will give her this information?

Answer :

Question No. 11

The data values in a data set are integers that range from 45 to 84. Calculate a suitable class interval to use when grouping this data, and list the classes, if you group the data into:

Answer :

a) five classes

b) eight classes

Question No. 12

The masses of the students in SS1 range from 56 kg to 108 kg. Calculate a suitable class interval to use when grouping this data, and list the classes, if you group the data into:

Answer :

a) six classes

b) seven classes

Question No. 13

The heights of the people living in a village range from 0.36 m to 1.98 m. Calculate a suitable class interval to use when grouping this data, and list the classes, if you group the data into:

Answer :

a) four classes

b) eight classes

Question No. 14

Copy and complete each of the tables below by calculating the class boundaries for each class.

Answer :

Question No. 15

Copy and complete each of the tables below by calculating the midpoint of each class.

Answer :

Question No. 16

The weekly numbers of tourists who visited the temple of the Yoruba goddess Oshun at Osun-Osogbo during one year are summarised in the table below.

Answer :

a) Use this frequency table to estimate, to the nearest whole number: (i) the mean (ii) the median of this data.

b) Find the modal class of this data.

c) Comment on possible values of the range for this data.

Question No. 17

The widths of 46 sugar cane leaves were measured in an experiment. The results are summarised in the table below.

Answer :

a) Use this frequency table to estimate, to the nearest millimetre: (i) the mean (ii) the median of this data.

b) Find the modal class of this data.

c) Comment on possible values of the range for this data.

Question No. 18

Nigeria shares land borders with the Republic of Benin in the west, Niger in the north and Chad and Cameroon in the east. The lengths of these borders are as follows: Benin 773 km, Niger 1 497 km, Chad 87 km and Cameroon 1 690 km.

Answer :

a) Calculate the total length of Nigeria’s land borders.

b) Copy and complete the table below.

c) Represent this data in a pie chart.

Question No. 19

The table below shows the population of the major cities of Nigeria.

Answer :

a) Calculate the total population of these eight cities.

b) Copy and complete the table below.

c) Represent the populations of these eight cities in a pie chart.

Question No. 20

The manager of an animal shelter kept a record of abandoned animals that were brought to the shelter over a period of twelve months.

Answer :

a) Draw a line graph of this data.

b) The manager suspects that there may be a connection between the dates of the school holidays and the numbers of abandoned animals. Do you think that the manager may be correct? Discuss this in your group. Once your group has come to a conclusion, work on your own and write a few sentences explaining whether or not you agree with the manager. Give reasons to support your answer.

Question No. 21

The figures for Nigeria’s annual inflation rate for the years 2001 to 2014 are shown in the tables below.

Answer :

a) Draw a line graph of this data.

b) In which year was the inflation rate the highest?

c) In which year was the inflation rate the lowest?

d) Between which two consecutive years was the increase in the inflation rate the greatest?

e) Between which two consecutive years was the decrease in the inflation rate the greatest?

f) Comment on the overall trend that you see in your graph.

Question No. 22

Refer to the second example above. Biola says that this compound bar graph clearly shows that the girls outperformed the boys. Is she correct? Support your answer by suitable calculations.

Answer :

Question No. 23

A factory that manufactures energysaving light bulbs packs them in boxes of 36 light bulbs. Before these boxes leave the factory, they are tested at random and the number of defective light bulbs in each box that is tested is recorded. The results for the boxes that are tested in one week and found to contain defective light bulbs are as follows.

Answer :

a) How many boxes contained defective light bulbs?

b) If 500 boxes were tested that week, what percentage of those boxes contained defective light bulbs?

c) What does the ‘7+’ in the table mean?

d) Display this data in a bar graph.

e) What was the most common number of defective light bulbs in the boxes represented in the table?

f) What was the most common number of defective light bulbs in the 500 boxes that were tested?

Question No. 24

Nigeria has the highest population of any country in Africa and the seventh highest population in the world. The table below shows the ten countries with the highest populations in the world. It also shows the area of each country.

Answer :

a) Round the population of each country off to the nearest million.

b) Draw a bar graph of the populations of these ten countries.

c) Round the area of each country off to the nearest hundred thousand km2.

d) Draw a bar graph of the areas of these ten countries.

e) Calculate the population density of each country. Use the formula: Population density (in population/km2) = population ÷ area. Round your answers off to one decimal place.

f) Draw a bar graph of the population densities of these ten countries.

g) Compare the three bar graphs that you have drawn. What interesting facts do you notice about: (i) Russia (ii) Bangladesh?

Question No. 25

Did you know that Nigeria is by far the world’s largest producer of yams? A farmer weighed 50 of his yams, correct to the nearest 10 grams. These masses are summarised in the table below.

Answer :

a) Represent this data in a histogram.

Question No. 26

A hospital in Lagos recorded the lengths of the new-born babies born at the hospital during a certain month. All the lengths were recorded to the nearest millimetre. These lengths are summarised in the table below.

Answer :

a) Explain what the notation (355, 385] means.

b) How many babies were born in the hospital during that month?

c) Represent this data in a histogram.

Question No. 27

Draw a frequency polygon on the histogram that you drew in question 1 of Exercise 15.12.

Answer :

Question No. 28

Draw a frequency polygon on the histogram that you drew in question 2 of Exercise 15.12.

Answer :

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