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Worksheet: Investigating Different Representations of Data

Q1:

The graph shows the number of births at a hospital from 2003 to 2007. How many more births were there in 2007 than 2005?

Q2:

The graph shows the number of cows, buffaloes, sheep, and goats in a country from the year 2000 to the year 2003. How many cows were there in 2000?

Q3:

The graph shows a student’s journey time to school on each day of one week. How much longer did it take the student to walk on Thursday than Sunday?

Q4:

Calculate the central angle of the section which shows the percentage of Italian tourists who visited a country in 2005.

  • A 8 6 . 4
  • B 1 0 8
  • C 6 1 . 2
  • D 1 0 4 . 4

Q5:

A pie chart will be used to show the number of tourists, in thousands, who visited a country in 2005. The table shows the number of tourists, but the angle of each sector of the pie chart is missing. What is the exact angle of the sector representing the French tourists?

Nationality American Egyptian Italian French Total
Number of Tourists 800 280 760 160 2 000
Angle 3 6 0
  • A 5 0 . 4
  • B 1 4 4
  • C 1 3 6 . 8
  • D 2 8 . 8
  • E 3 3 1 . 2

Q6:

The line graph shows the ages of 100 people. Which age has the fewest number of people?

Q7:

These histograms compare the heights of tall buildings in two cities. For each city, state the minimum height of the buildings surveyed.

  • ACity A: 600, City B: 600
  • BCity A: 400, City B: 400
  • CCity A: 699, City B: 499
  • DCity A: 400, City B: 600
  • ECity A: 600, City B: 499

Q8:

The given histogram shows the attendance at some parks in one year. What is the most common range of attendance?

  • A 1 2 million people
  • B 0 1 million people
  • C 3 4 million people
  • D 2 3 million people
  • E 0 4 million people

Q9:

A talent show has singers, dancers and magicians. The given bar graph shows how many of each kind of performer there are in the show.

How many performers are there in total?

Q10:

The pie chart shows the favourite hobbies of some students. Which is the most popular hobby?

  • Aswimming
  • Bpodcasting
  • Cmusic
  • Dreading
  • Etheatre

Q11:

The fifth and sixth graders voted for their favorite sport and the results are shown in the graph. Which sport was most popular among the fifth graders?

  • ABaseball
  • BFootball
  • CVolleyball
  • DBasketball

Q12:

The table shows the distribution of heights of 200 students. By drawing a frequency diagram, find graphically an estimate for the mode height.

Height (cm) 120–129 130–139 140–149 150–159 160–169 170–179 180– Total
Number of Students 23 24 36 27 32 33 25 200
  • A 156 cm
  • B 133 cm
  • C 36 cm
  • D 146 cm