Worksheet: Interpreting Frequency Tables

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In this worksheet, we will practice making frequency tables for given data.

Q1:

The table shows the number of students in a class that play different sports. What is the least popular sport in class?

Game Football Volleyball Handball Swimming
Number of Students 16 12 4 8
  • AVolleyball
  • BFootball
  • CSwimming
  • DHandball

Q2:

Nabil sold juice boxes at a soccer practice. On which two days did he sell the least?

Day Monday Tuesday Wednesday Thursday Friday
Tally
  • AMonday, Thursday
  • BFriday, Tuesday
  • CTuesday, Wednesday
  • DMonday, Tuesday

Q3:

The given table shows the tallies of the books read by a group of children. In numbers, write how many books each child read.

Name Amelia Daniel Mason Natalie Matthew
Tally
Number of Books
  • A 4 , 2 , 7 , 9 , 5
  • B 3 , 1 , 6 , 9 , 4
  • C 5 , 2 , 7 , 1 0 , 5
  • D 4 , 2 , 7 , 1 0 , 5

Q4:

The table shows the marks that 30 students attained in an examination. Find the mode mark.

Mark 5 6 7 8 9 10
Number of Students 5 7 5 4 4 5

Q5:

The table shows the genres of TV programmes watched by students in a class. Which programme is the most popular?

Type of Programme Sitcom Game show Talk show Drama Sports
Number of Students 3 13 9 5 4
  • Asports
  • Bdrama
  • Csitcom
  • Dgame show

Q6:

Using the given data for school performance, complete the frequency table.

weak good weak excellent very good
very good very good very good very weak weak
good very weak weak good excellent
weak very weak very good very good very weak
Estimation Very Weak Weak Pass Good Very Good Excellent
Frequency
  • A2, 6, 3, 0, 5, 4
  • B4, 0, 5, 3, 2, 6
  • C4, 5, 0, 3, 2, 6
  • D4, 5, 0, 3, 6, 2

Q7:

The data shows the classification that 40 students received for their homework. By forming a frequency table, determine the most common classification.

Excellent Good Excellent Excellent Very Good Good Pass Good Excellent Very Good
Excellent Pass Pass Good Very Good Excellent Excellent Pass Very Good Very Good
Very Good Excellent Excellent Good Excellent Very Good Good Pass Very Good Good
Good Pass Excellent Very Good Good Excellent Pass Good Excellent Pass
  • AGood
  • BPass
  • CVery Good
  • DExcellent

Q8:

The tally chart shows the results of a survey to find the favourite subject of a class. What subject is the most popular?

Subject Mathematics Science History Art Music
Tally
  • Ahistory
  • Bmathematics
  • Cart
  • Dscience

Q9:

The following table shows the number of books read by a group of friends. How many friends are shown in the table?

Friend Name Karim Amira Maged Sally
Number of Books 8 9 3 5

Q10:

The table breaks down the achievements of students in a math class. Calculate the number of students who received classifications other than excellent.

Grade Fair Pass Good Very Good Excellent
Number of Students 9 9 7 6 7

Q11:

Using the frequency table, find the most common nationality of a tourist.

Nationality French German British Russian Italian Total
Number of Tourists in Millions 2.51 1.01 1.16 1.4 2.33 8.41
  • ARussian
  • BItalian
  • CBritish
  • DFrench
  • EGerman

Q12:

Shady spent Saturday counting how many cars passed by his house. How many cars passed by Shady’s house between 12:00 pm and 2:00 pm?

Time 9:00 am–10:00 am 10:00 am–11:00 am 11:00 am–12:00 pm 12:00 pm–1:00 pm 1:00 pm–2:00 pm
Tally

Q13:

The table below shows the number of students that participate in school activities. Find the difference in the number of students participating in school radio activity in each school.

Activity Sports Music Arts Library School Radio Scouting
First School 66 64 43 84 99 32
Second School 40 12 55 32 59 20

Q14:

This table shows the numbers, in thousands, of animals in a country from 2000 to 2003.

Livestock 2000 2001 2002 2003
Cows 4,482 4,310 4,065 4,241
Buffaloes 3,793 3,880 3,895 3,829
Sheep 5,156 5,121 5,205 5,242
Goats 3,620 3,766 3,657 3,641

How many buffaloes were there in 2002?

Q15:

The table shows the number of visitors in thousands to three museums in the years 2005 and 2006. Calculate the difference between the number of visitors to the National museum and the Art museum in 2006.

Year History museum Art museum National museum
2005 447 213 245
2006 320 208 386

Q16:

This table shows the area, in thousands of hectares, of land used for growing different crops in a country from 2001 to 2005.

Crops 2001 2002 2003 2004 2005
Wheat 2,341 2,458 2,579 2,641 2,758
Beans 375 347 338 322 293
Barley 227 239 240 239 245
Clover 2,485 2,202 2,243 2,398 2,172
Beet 170 157 140 157 154
Vegetables 778 888 838 878 832

Did the total area of land used for growing crops increase or decrease from 2001 to 2002? By how many hectares did it increase or decrease?

  • Aincreased by 87,000 hectares
  • Bincreased by 85,000 hectares
  • Cdecreased by 87,000 hectares
  • Ddecreased by 85,000 hectares

Q17:

The table shows the number of students in four separate classrooms using different modes of transport to get to school. How many students go to school on foot?

Types of Commute Classroom A Classroom B Classroom C Classroom D
On Foot 25 16 11 11
By Bicycle 17 18 13 13
By Bus 25 12 11 14

Q18:

The table shows the number of visitors in thousands to three museums in the years 2005 and 2006. Which museum received more visitors in 2005?

Year History Museum Art Museum National Museum
2005 380 299 246
2006 384 497 284
  • AHistory Museum
  • BNational Museum

Q19:

The table shows the number of visitors in thousands to three museums in the years 2015 and 2016. In which year were there more visitors to the National museum?

Year History Museum Art Museum National Museum
2015 433 355 385
2016 219 444 480

Q20:

The table shows the number of hours a person slept during a two-week period. In total, how many hours did the person sleep?

Day Saturday Sunday Monday Tuesday Wednesday Thursday Friday
Week 1 10.5 7.5 6.5 7.5 8 8 5.5
Week 2 8 7 5.5 7 7 5 6.5

Q21:

The table shows the number of students in two schools taking part in different school activities. Which school has a higher number of students participating in an activity?

Activities Swimming Running Drawing Handball Football Tennis
First School 20 30 20 35 25 25
Second School 35 20 20 45 20 20

  • Athe second school
  • Bthe first school

Q22:

The table shows sales of four types of television in an electronics shop from 2012 to 2015. Which television was sold in the lowest quantity?

Television 2012 2013 2014 2015
HD 32 inches 1‎ ‎650 1‎ ‎600 1‎ ‎550 1‎ ‎400
LED 32 inches 1‎ ‎500 1‎ ‎500 1‎ ‎500 1‎ ‎500
HD 42 inches 1‎ ‎800 1‎ ‎850 1‎ ‎900 2‎ ‎400
LED 42 inches 2‎ ‎000 1‎ ‎800 2‎ ‎100 2‎ ‎300
  • ALED 32 inches
  • BHD 42 inches
  • CLED 42 inches
  • DHD 32 inches

Q23:

The table shows sales of four types of television in an electronics shop from 2012 to 2015. The sales of which television increased year on year?

TV Specs 2012 2013 2014 2015
HD 32" 2‎ ‎050 2‎ ‎000 1‎ ‎850 1‎ ‎600
LED 32" 500 500 500 500
HD 42" 1‎ ‎800 1‎ ‎650 1‎ ‎850 2‎ ‎150
LED 42" 1‎ ‎500 2‎ ‎000 2‎ ‎500 2‎ ‎550
  • ALED 32"
  • BHD 32"
  • CHD 42"
  • DLED 42"

Q24:

The table shows sales of four types of TV in an electronics shop from 2012 to 2015. For which TV were the sales consistent across all years?

Type of TV Sales in 2012 Sales in 2013 Sales in 2014 Sales in 2015
HD 32 inches 2‎ ‎200 2‎ ‎200 2‎ ‎200 2‎ ‎200
LED 32 inches 2‎ ‎500 2‎ ‎350 2‎ ‎150 2‎ ‎100
HD 42 inches 1‎ ‎600 1‎ ‎650 1‎ ‎750 1‎ ‎850
LED 42 inches 2‎ ‎400 2‎ ‎350 2‎ ‎450 2‎ ‎800
  • ALED 32 inches
  • BHD 42 inches
  • CLED 42 inches
  • DHD 32 inches

Q25:

This table shows the areas, in thousands of hectares, of land used for growing different crops in a country from 2001 to 2005.

Crops 2001 2002 2003 2004 2005
Wheat 2,389 2,449 2,571 2,647 2,785
Beans 386 353 344 328 296
Barley 228 247 242 241 230
Clover 2,270 2,332 2,529 2,115 2,439
Beet 145 138 160 134 138
Vegetables 877 733 735 785 818
Total 6,295 6,252 6,581 6,250 6,706

By how many hectares did the total area of land used for growing wheat decrease or increase from 2001 to 2002?

  • A It increased by 122,000 hectares.
  • B It decreased by 60,000 hectares.
  • C It decreased by 122,000 hectares.
  • D It increased by 60,000 hectares.

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