Design and fill in a frequency table for the set of data given below. Mass (grams) 28 . 4 27 . 5 29 . 1 26 . 3 27 . 8 28 . 6 27 . 2 27 . 5 28 . 3 25 . 7 29 . 3 26 . 2 27 . 3 26 . 9 28 . 5

We have to design and fill in a frequency table for the set of data given below. Mass (grams) 28 . 4 27 . 5 29 . 1 26 . 3 27 . 8 28 . 6 27 . 2 27 . 5 28 . 3 25 . 7 29 . 3 26 . 2 27 . 3 26 . 9 28 . 5 A frequency distribution is a list, table (i.e.: frequency table) that displays the frequency of various outcomes in a sample. Steps to design a frequency table, Identify the smallest and the largest values. Here the smallest value is 25 . 7 and the largest value is 29 . 3 . Choose the suitable class interval that cover the given data. They are usually chosen to have equal width. The designed frequency table which is suitable for given data is below. Mass, m (grams) Tally Frequency 25 < m ≤ 26 | 1 26 < m ≤ 27 | | | 3 27 < m ≤ 28 | | | | 5 28 < m ≤ 29 | | | | 4 29 < m ≤ 30 | | 2

Design and fill in a frequency table for the set of data given below. Number of people 81 75 66 62 72 78 68 74 64 82 70 64 72 79 77 76 72 69

We have to design and fill in a frequency table for the set of data given below. Number of people 81 75 66 62 72 78 68 74 64 82 70 64 72 79 77 76 72 69 A frequency distribution is a list, table (i.e.: frequency table) that displays the frequency of various outcomes in a sample. Steps to design a frequency table, Identify the smallest and the largest values. Here the smallest value is 62 and the largest value is 82 . Choose the suitable class interval that cover the given data. They are usually chosen to have equal width. The designed frequency table which is suitable for given data is below. Number of people, n Tally Frequency 60 < n ≤ 65 | | | 3 65 < n ≤ 70 | | | | 4 70 < n ≤ 75 | | | | 5 75 < n ≤ 80 | | | | 4 80 < n ≤ 85 | | 2

Design and fill in a frequency table for the set of data given below. Number of parcels 381 291 652 335 376 618 407 525 493 380 671 428 576 493 465 266 526 398 673 552 518 470 601 374

We have to design and fill in a frequency table for the set of data given below. Number of parcels 381 291 652 335 376 618 407 525 493 380 671 428 576 493 465 266 526 398 673 552 518 470 601 374 A frequency distribution is a list, table (i.e.: frequency table) that displays the frequency of various outcomes in a sample. Steps to design a frequency table, Identify the smallest and the largest values. Here the smallest value is 266 and the largest value is 673 . Choose the suitable class interval that cover the given data. They are usually chosen to have equal width. The designed frequency table which is suitable for given data is below. Number of parcels, n Tally Frequency 200 < n ≤ 300 | | 2 300 < n ≤ 400 | | | | | 6 400 < n ≤ 500 | | | | | 6 500 < n ≤ 600 | | | | 5 600 < n ≤ 700 | | | | 5

Design and fill in a frequency table for the set of data given below. Temperature ( ° C ) 27 . 3 28 . 4 32 . 4 11 . 4 32 . 4 14 . 2 19 . 6 17 . 4 32 . 7 29 . 0 13 . 2 17 . 4 37 . 8 29 . 1 26 . 1 22 . 2 14 . 5 19 . 7 33 . 1 27 . 3 15 . 2 20 . 7 31 . 2 29 . 3 30 . 2 26 . 0 17 . 1 29 . 3

We have to design and fill in a frequency table for the set of data given below. Temperature ( ° C ) 27 . 3 28 . 4 32 . 4 11 . 4 32 . 4 14 . 2 19 . 6 17 . 4 32 . 7 29 . 0 13 . 2 17 . 4 37 . 8 29 . 1 26 . 1 22 . 2 14 . 5 19 . 7 33 . 1 27 . 3 15 . 2 20 . 7 31 . 2 29 . 3 30 . 2 26 . 0 17 . 1 29 . 3 A frequency distribution is a list, table (i.e.: frequency table) that displays the frequency of various outcomes in a sample. Steps to design a frequency table, Identify the smallest and the largest values. Here the smallest value is 11 . 4 and the largest value is 37 . 8 . Choose the suitable class interval that cover the given data. They are usually chosen to have equal width. The designed frequency table which is suitable for given data is below. Temperature, t ° C Tally Frequency 10 < t ≤ 15 | | | | 4 15 < t ≤ 20 | | | | | 6 20 < t ≤ 25 | | 2 25 < t ≤ 30 | | | | | | | | 9 30 < t ≤ 35 | | | | | 6 35 < t ≤ 40 | 1

Here are the ages, A (years), of 30 people in a cinema. 44 64 41 53 58 45 55 54 62 51 50 47 58 7 49 52 43 47 52 49 52 58 53 50 47 44 56 62 51 58 Show the data in a frequency table with these class intervals: 0 ≤ A < 20 , 20 ≤ A < 40 , 40 ≤ A < 60 and 60 ≤ A < 80

Given: The ages, A (years), of 30 people in a cinema. 44 64 41 53 58 45 55 54 62 51 50 47 58 7 49 52 43 47 52 49 52 58 53 50 47 44 56 62 51 58 We have to show the data in a frequency table with these class intervals: 0 ≤ A < 20 , 20 ≤ A < 40 , 40 ≤ A < 60 and 60 ≤ A < 80 A frequency distribution is a list, table (i.e.: frequency table) that displays the frequency of various outcomes in a sample. Thus, the designed frequency table with given class intervals is given below. Age, A (years) Tally Frequency 0 ≤ A < 20 | 1 20 ≤ A < 40 0 40 ≤ A < 60 | | | | | | | | | | | | | | | | | | | | | 26 60 ≤ t < 80 | | | 3

Here are the ages, A (years), of 30 people in a cinema. 44 64 41 53 58 45 55 54 62 51 50 47 58 7 49 52 43 47 52 49 52 58 53 50 47 44 56 62 51 58 Show the data in a frequency table with these class intervals: A < 40 , 40 ≤ A < 45 , 45 ≤ A < 50 , 50 ≤ A < 55 , 55 ≤ A < 60 and 60 ≤ A < 65

Given: The ages, A (years), of 30 people in a cinema. 44 64 41 53 58 45 55 54 62 51 50 47 58 7 49 52 43 47 52 49 52 58 53 50 47 44 56 62 51 58 We have to show the data in a frequency table with these class intervals: A < 40 , 40 ≤ A < 45 , 45 ≤ A < 50 , 50 ≤ A < 55 , 55 ≤ A < 60 and 60 ≤ A < 65 A frequency distribution is a list, table (i.e.: frequency table) that displays the frequency of various outcomes in a sample. Thus, the designed frequency table with given class intervals is given below. Age, A (years) Tally Frequency A < 40 | 1 40 ≤ A < 45 | | | | 4 45 ≤ A < 50 | | | | | 6 50 ≤ A < 55 | | | | | | | | 10 55 ≤ A < 60 | | | | | 6 60 ≤ A < 65 | | | 3

Here are the ages, A (years), of 30 people in a cinema. 44 64 41 53 58 45 55 54 62 51 50 47 58 7 49 52 43 47 52 49 52 58 53 50 47 44 56 62 51 58 Show the data in a frequency table with these class intervals: 0 ≤ A < 20 , 20 ≤ A < 40 , 40 ≤ A < 60 and 60 ≤ A < 80 Show the data in a frequency table with these class intervals: A < 40 , 40 ≤ A < 45 , 45 ≤ A < 50 , 50 ≤ A < 55 , 55 ≤ A < 60 and 60 ≤ A < 65 Which of the tables best shows the data? Give a reason for your answer.

Given: The ages, A (years), of 30 people in a cinema. 44 64 41 53 58 45 55 54 62 51 50 47 58 7 49 52 43 47 52 49 52 58 53 50 47 44 56 62 51 58 A frequency distribution is a list, table (i.e.: frequency table) that displays the frequency of various outcomes in a sample. The designed frequency table with given class intervals 0 ≤ A < 20 , 20 ≤ A < 40 , 40 ≤ A < 60 and 60 ≤ A < 80 is given below. Table 1: Age, A (years) Tally Frequency 0 ≤ A < 20 | 1 20 ≤ A < 40 0 40 ≤ A < 60 | | | | | | | | | | | | | | | | | | | | | 26 60 ≤ t < 80 | | | 3 Also, the designed frequency table with given class intervals A < 40 , 40 ≤ A < 45 , 45 ≤ A < 50 , 50 ≤ A < 55 , 55 ≤ A < 60 and 60 ≤ A < 65 is given below. Table 2: Age, A (years) Tally Frequency A < 40 | 1 40 ≤ A < 45 | | | | 4 45 ≤ A < 50 | | | | | 6 50 ≤ A < 55 | | | | | | | | 10 55 ≤ A < 60 | | | | | 6 60 ≤ A < 65 | | | 3 Comparing the two tables, 'table 2' shows best distribution of frequency where as in 'table 1' most of the outcomes are clustered only in one interval.

Jameela records the time (to the nearest second) that some runners took to complete a race. 54 57 55 59 52 53 58 59 61 60 55 57 59 60 57 58 54 58 57 58 61 54 She considers two different ways of grouping the data. Method I uses these class intervals Method II uses these class intervals 52 ≤ t < 54 51 . 5 ≤ t < 53 . 5 54 ≤ t < 56 53 . 5 ≤ t < 55 . 5 56 ≤ t < 58 55 . 5 ≤ t < 57 . 5 58 ≤ t < 60 57 . 5 ≤ t < 59 . 5 60 ≤ t < 62 59 . 5 ≤ t < 61 . 5 Why are the intervals given in Method 2 more suitable than the intervals in Method 1 ?

A frequency distribution is a list, table (i.e.: frequency table) that displays the frequency of various outcomes in a sample. Class interval refers to the numerical width of any class in a particular distribution. Mathematically it is defined as the difference between the upper-class limit and the lower class limit. Steps to design a frequency table, Identify the smallest and the largest values of given data. Choose the suitable class interval that cover the given data. They are usually chosen to have equal width. Here, in both the methods, class interval is the same value, i.e. 2 . In Method 2 class limits are given in decimals that will be helpful for more accurate frequency distribution. Hence, the intervals given in Method 2 are more suitable than the intervals in Method 1.

Michele Conway, Belle Cottingham, Alastair Duncombe and, Amanda George Solutions for Exercise 6: Exercise 3

Author:Michele Conway, Belle Cottingham, Alastair Duncombe & Amanda George

Michele Conway Mathematics Solutions for Exercise - Michele Conway, Belle Cottingham, Alastair Duncombe and, Amanda George Solutions for Exercise 6: Exercise 3

Attempt the free practice questions from Exercise 6: Exercise 3 with hints and solutions to strengthen your understanding. Cambridge Lower Secondary Maths Stage 9: Student's Book solutions are prepared by Experienced Embibe Experts.

Questions from Michele Conway, Belle Cottingham, Alastair Duncombe and, Amanda George Solutions for Exercise 6: Exercise 3 with Hints & Solutions

MEDIUM

Lower Secondary Stage 9

IMPORTANT

Cambridge Lower Secondary Maths Stage 9: Student's Book>Chapter 10 - Data Collection and Averages>Exercise 3>Q 3

Design and fill in a frequency table for the set of data given below.

Mass (grams)

\begin{matrix} 28.4 & 27.5 & 29.1 & 26.3 & 27.8 \\ 28.6 & 27.2 & 27.5 & 28.3 & 25.7 \\ 29.3 & 26.2 & 27.3 & 26.9 & 28.5 \end{matrix}

MEDIUM

Lower Secondary Stage 9

IMPORTANT

Cambridge Lower Secondary Maths Stage 9: Student's Book>Chapter 10 - Data Collection and Averages>Exercise 3>Q 3

Design and fill in a frequency table for the set of data given below.

Number of people

\begin{matrix} 81 & 75 & 66 & 62 & 72 & 78 \\ 68 & 74 & 64 & 82 & 70 & 64 \\ 72 & 79 & 77 & 76 & 72 & 69 \end{matrix}

MEDIUM

Lower Secondary Stage 9

IMPORTANT

Cambridge Lower Secondary Maths Stage 9: Student's Book>Chapter 10 - Data Collection and Averages>Exercise 3>Q 3

Design and fill in a frequency table for the set of data given below.

Number of parcels

\begin{matrix} 381 & 291 & 652 & 335 & 376 & 618 \\ 407 & 525 & 493 & 380 & 671 & 428 \\ 576 & 493 & 465 & 266 & 526 & 398 \\ 673 & 552 & 518 & 470 & 601 & 374 \end{matrix}

MEDIUM

Lower Secondary Stage 9

IMPORTANT

Cambridge Lower Secondary Maths Stage 9: Student's Book>Chapter 10 - Data Collection and Averages>Exercise 3>Q 3

Design and fill in a frequency table for the set of data given below.

Temperature (

° C

)

\begin{matrix} 27.3 & 28.4 & 32.4 & 11.4 & 32.4 & 14.2 & 19.6 \\ 17.4 & 32.7 & 29.0 & 13.2 & 17.4 & 37.8 & 29.1 \\ 26.1 & 22.2 & 14.5 & 19.7 & 33.1 & 27.3 & 15.2 \\ 20.7 & 31.2 & 29.3 & 30.2 & 26.0 & 17.1 & 29.3 \end{matrix}

MEDIUM

Lower Secondary Stage 9

IMPORTANT

Cambridge Lower Secondary Maths Stage 9: Student's Book>Chapter 10 - Data Collection and Averages>Exercise 3>Q 4

Here are the ages, $A$ (years), of $30$ people in a cinema.

\begin{matrix} 44 & 64 & 41 & 53 & 58 & 45 & 55 & 54 & 62 & 51 \\ 50 & 47 & 58 & 7 & 49 & 52 & 43 & 47 & 52 & 49 \\ 52 & 58 & 53 & 50 & 47 & 44 & 56 & 62 & 51 & 58 \end{matrix}

Show the data in a frequency table with these class intervals: $0 \leq A < 20, 20 \leq A < 40, 40 \leq A < 60$ and $60 \leq A < 80$

MEDIUM

Lower Secondary Stage 9

IMPORTANT

Cambridge Lower Secondary Maths Stage 9: Student's Book>Chapter 10 - Data Collection and Averages>Exercise 3>Q 4

Here are the ages, $A$ (years), of $30$ people in a cinema.

\begin{matrix} 44 & 64 & 41 & 53 & 58 & 45 & 55 & 54 & 62 & 51 \\ 50 & 47 & 58 & 7 & 49 & 52 & 43 & 47 & 52 & 49 \\ 52 & 58 & 53 & 50 & 47 & 44 & 56 & 62 & 51 & 58 \end{matrix}

Show the data in a frequency table with these class intervals: $A < 40, 40 \leq A < 45, 45 \leq A < 50, 50 \leq A < 55, 55 \leq A < 60$ and $60 \leq A < 65$

MEDIUM

Lower Secondary Stage 9

IMPORTANT

Cambridge Lower Secondary Maths Stage 9: Student's Book>Chapter 10 - Data Collection and Averages>Exercise 3>Q 4

Here are the ages, $A$ (years), of $30$ people in a cinema.

\begin{matrix} 44 & 64 & 41 & 53 & 58 & 45 & 55 & 54 & 62 & 51 \\ 50 & 47 & 58 & 7 & 49 & 52 & 43 & 47 & 52 & 49 \\ 52 & 58 & 53 & 50 & 47 & 44 & 56 & 62 & 51 & 58 \end{matrix}

Show the data in a frequency table with these class intervals: $0 \leq A < 20, 20 \leq A < 40, 40 \leq A < 60$ and $60 \leq A < 80$

Show the data in a frequency table with these class intervals: $A < 40, 40 \leq A < 45, 45 \leq A < 50, 50 \leq A < 55, 55 \leq A < 60$ and $60 \leq A < 65$

Which of the tables best shows the data? Give a reason for your answer.

MEDIUM

Lower Secondary Stage 9

IMPORTANT

Cambridge Lower Secondary Maths Stage 9: Student's Book>Chapter 10 - Data Collection and Averages>Exercise 3>Q 5

Jameela records the time (to the nearest second) that some runners took to complete a race.

\begin{matrix} 54 & 57 & 55 & 59 & 52 & 53 & 58 & 59 & 61 & 60 & 55 \\ 57 & 59 & 60 & 57 & 58 & 54 & 58 & 57 & 58 & 61 & 54 \end{matrix}

She considers two different ways of grouping the data.

Method I uses these class intervals	Method II uses these class intervals
$52 \leq t < 54$	$51.5 \leq t < 53.5$
$54 \leq t < 56$	$53.5 \leq t < 55.5$
$56 \leq t < 58$	$55.5 \leq t < 57.5$
$58 \leq t < 60$	$57.5 \leq t < 59.5$
$60 \leq t < 62$	$59.5 \leq t < 61.5$

Why are the intervals given in Method 2 more suitable than the intervals in Method 1?

Michele Conway, Belle Cottingham, Alastair Duncombe and, Amanda George Solutions for Exercise 6: Exercise 3

Michele Conway Mathematics Solutions for Exercise - Michele Conway, Belle Cottingham, Alastair Duncombe and, Amanda George Solutions for Exercise 6: Exercise 3

Questions from Michele Conway, Belle Cottingham, Alastair Duncombe and, Amanda George Solutions for Exercise 6: Exercise 3 with Hints & Solutions

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