A taxi company recorded the distance ( km ) travelled by each of its drivers one Saturday evening. Distance [ d , km ] f 0 < d ≤ 25 0 25 < d ≤ 50 32 50 < d ≤ 75 102 75 < d ≤ 100 86 100 < d ≤ 125 16 125 < d ≤ 150 4 Draw a cumulative frequency diagram.

Given data: Distance [ d , km ] f 0 < d ≤ 25 0 25 < d ≤ 50 32 50 < d ≤ 75 102 75 < d ≤ 100 86 100 < d ≤ 125 16 125 < d ≤ 150 4 If the frequency of first class interval is added to the frequency of second class and this sum is added to third class and so on then frequencies so obtained are known as Cumulative Frequency. A table which displays the manner in which cumulative frequencies are distributed over various classes is called a cumulative frequency distribution or cumulative frequency table. Cumulative frequency table for this information: Distance [ d , km ] f Cumulative frequency 0 < d ≤ 25 0 0 25 < d ≤ 50 32 0 + 32 = 32 50 < d ≤ 75 102 0 + 32 + 102 = 134 75 < d ≤ 100 86 0 + 32 + 102 + 86 = 220 100 < d ≤ 125 16 0 + 32 + 102 + 86 + 16 = 236 125 < d ≤ 150 4 0 + 32 + 102 + 86 + 16 + 4 = 240 A curve that represents the cumulative frequency distribution of grouped data on a graph is called a Cumulative Frequency Curve or an Ogive Steps to draw cumulative frequency curve: (i) Draw and mark the horizontal and vertical axes. (ii) Take the cumulative frequencies along the y -axis (vertical axis) and the upper-class limits on the x -axis (horizontal axis). (iii) Against each upper-class limit, plot the cumulative frequencies. (iv) Connect the points with a continuous curve.

Students were asked to write down the number of pages of English that they had to read in a month. Pages [ p ] f 100 < p ≤ 200 12 200 < p ≤ 300 36 300 < p ≤ 400 42 400 < p ≤ 500 53 500 < d ≤ 600 33 600 < d ≤ 700 20 700 < p ≤ 800 4 Construct a cumulative frequency table for this information.

Given data: Pages [ p ] f 100 < p ≤ 200 12 200 < p ≤ 300 36 300 < p ≤ 400 42 400 < p ≤ 500 53 500 < d ≤ 600 33 600 < d ≤ 700 20 700 < p ≤ 800 4 Construct a cumulative frequency table for this information. If the frequency of first class interval is added to the frequency of second class and this sum is added to third class and so on then frequencies so obtained are known as Cumulative Frequency. A table which displays the manner in which cumulative frequencies are distributed over various classes is called a cumulative frequency distribution or cumulative frequency table. Cumulative frequency table for this information: Pages [ p ] f Cumulative frequency 100 < p ≤ 200 12 12 200 < p ≤ 300 36 12 + 36 = 48 300 < p ≤ 400 42 12 + 36 + 42 = 90 400 < p ≤ 500 53 12 + 36 + 42 + 53 = 143 500 < d ≤ 600 33 12 + 36 + 42 + 53 + 33 = 176 600 < d ≤ 700 20 12 + 36 + 42 + 53 + 33 + 20 = 196 700 < p ≤ 800 4 12 + 36 + 42 + 53 + 33 + 20 + 4 = 200

Students were asked to write down the number of pages of English that they had to read in a month. Pages [ p ] f 100 < p ≤ 200 12 200 < p ≤ 300 36 300 < p ≤ 400 42 400 < p ≤ 500 53 500 < d ≤ 600 33 600 < d ≤ 700 20 700 < p ≤ 800 4 Draw a cumulative frequency diagram.

Given data: Pages [ p ] f 100 < p ≤ 200 12 200 < p ≤ 300 36 300 < p ≤ 400 42 400 < p ≤ 500 53 500 < d ≤ 600 33 600 < d ≤ 700 20 700 < p ≤ 800 4 Construct a cumulative frequency table for this information. If the frequency of first class interval is added to the frequency of second class and this sum is added to third class and so on then frequencies so obtained are known as Cumulative Frequency. A table which displays the manner in which cumulative frequencies are distributed over various classes is called a cumulative frequency distribution or cumulative frequency table. Cumulative frequency table for this information: Pages [ p ] f Cumulative frequency 100 < p ≤ 200 12 12 200 < p ≤ 300 36 12 + 36 = 48 300 < p ≤ 400 42 12 + 36 + 42 = 90 400 < p ≤ 500 53 12 + 36 + 42 + 53 = 143 500 < d ≤ 600 33 12 + 36 + 42 + 53 + 33 = 176 600 < d ≤ 700 20 12 + 36 + 42 + 53 + 33 + 20 = 196 700 < p ≤ 800 4 12 + 36 + 42 + 53 + 33 + 20 + 4 = 200 A curve that represents the cumulative frequency distribution of grouped data on a graph is called a Cumulative Frequency Curve or an Ogive Steps to draw cumulative frequency curve: (i) Draw and mark the horizontal and vertical axes. (ii) Take the cumulative frequencies along the y -axis (vertical axis) and the upper-class limits on the x -axis (horizontal axis). (iii) Against each upper-class limit, plot the cumulative frequencies. (iv) Connect the points with a continuous curve.

Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Representing Data: Statistics for Univariate Data, Exercise 34: Exercise 6H

Author:Natasha Awada, Paul La Rondie, Laurie Buchanan & Jill Stevens

Natasha Awada Mathematics Solutions for Exercise - Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Representing Data: Statistics for Univariate Data, Exercise 34: Exercise 6H

Attempt the practice questions on Chapter 6: Representing Data: Statistics for Univariate Data, Exercise 34: Exercise 6H with hints and solutions to strengthen your understanding. Mathematics : Analysis and Approaches Standard Level Course Companion solutions are prepared by Experienced Embibe Experts.

Questions from Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Representing Data: Statistics for Univariate Data, Exercise 34: Exercise 6H with Hints & Solutions

EASY

Diploma

IMPORTANT

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 6 - Representing Data: Statistics for Univariate Data>Exercise 6H>Q 3

A taxi company recorded the distance $(km)$ travelled by each of its drivers one Saturday evening.

Distance $[d, km]$	$f$
$0 < d \leq 25$	$0$
$25 < d \leq 50$	$32$
$50 < d \leq 75$	$102$
$75 < d \leq 100$	$86$
$100 < d \leq 125$	$16$
$125 < d \leq 150$	$4$

Draw a cumulative frequency diagram.

MEDIUM

Diploma

IMPORTANT

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 6 - Representing Data: Statistics for Univariate Data>Exercise 6H>Q 3

A taxi company recorded the distance $(km)$ travelled by each of its drivers one Saturday evening.

Distance $[d, km]$	$f$
$0 < d \leq 25$	$0$
$25 < d \leq 50$	$32$
$50 < d \leq 75$	$102$
$75 < d \leq 100$	$86$
$100 < d \leq 125$	$16$
$125 < d \leq 150$	$4$

Estimate the median, interquartile range in the distance travelled by the taxi drivers.(Answer median, interquartile values without units)

EASY

Diploma

IMPORTANT

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 6 - Representing Data: Statistics for Univariate Data>Exercise 6H>Q 3

A taxi company recorded the distance $(km)$ travelled by each of its drivers one Saturday evening.

Distance $[d, km]$	$f$
$0 < d \leq 25$	$0$
$25 < d \leq 50$	$32$
$50 < d \leq 75$	$102$
$75 < d \leq 100$	$86$
$100 < d \leq 125$	$16$
$125 < d \leq 150$	$4$

Estimate the number of cars that travelled more than $130 km$ .

EASY

Diploma

IMPORTANT

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 6 - Representing Data: Statistics for Univariate Data>Exercise 6H>Q 3

Students were asked to write down the number of pages of English that they had to read in a month.

Pages $[p]$	$f$
$100 < p \leq 200$	$12$
$200 < p \leq 300$	$36$
$300 < p \leq 400$	$42$
$400 < p \leq 500$	$53$
$500 < d \leq 600$	$33$
$600 < d \leq 700$	$20$
$700 < p \leq 800$	$4$

Construct a cumulative frequency table for this information.

EASY

Diploma

IMPORTANT

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 6 - Representing Data: Statistics for Univariate Data>Exercise 6H>Q 4

Students were asked to write down the number of pages of English that they had to read in a month.

Pages $[p]$	$f$
$100 < p \leq 200$	$12$
$200 < p \leq 300$	$36$
$300 < p \leq 400$	$42$
$400 < p \leq 500$	$53$
$500 < d \leq 600$	$33$
$600 < d \leq 700$	$20$
$700 < p \leq 800$	$4$

Draw a cumulative frequency diagram.

EASY

Diploma

IMPORTANT

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 6 - Representing Data: Statistics for Univariate Data>Exercise 6H>Q 4

Students were asked to write down the number of pages of English that they had to read in a month.

Pages $[p]$	$f$
$100 < p \leq 200$	$12$
$200 < p \leq 300$	$36$
$300 < p \leq 400$	$42$
$400 < p \leq 500$	$53$
$500 < d \leq 600$	$33$
$600 < d \leq 700$	$20$
$700 < p \leq 800$	$4$

Estimate the median.

EASY

Diploma

IMPORTANT

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 6 - Representing Data: Statistics for Univariate Data>Exercise 6H>Q 4

Students were asked to write down the number of pages of English that they had to read in a month.

Pages $[p]$	$f$
$100 < p \leq 200$	$12$
$200 < p \leq 300$	$36$
$300 < p \leq 400$	$42$
$400 < p \leq 500$	$53$
$500 < d \leq 600$	$33$
$600 < d \leq 700$	$20$
$700 < p \leq 800$	$4$

Estimate the interquartile range.

EASY

Diploma

IMPORTANT

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 6 - Representing Data: Statistics for Univariate Data>Exercise 6H>Q 4

Students were asked to write down the number of pages of English that they had to read in a month.

Pages $[p]$	$f$
$100 < p \leq 200$	$12$
$200 < p \leq 300$	$36$
$300 < p \leq 400$	$42$
$400 < p \leq 500$	$53$
$500 < d \leq 600$	$33$
$600 < d \leq 700$	$20$
$700 < p \leq 800$	$4$

Estimate the number of students who read more than $450$ pages.

Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Representing Data: Statistics for Univariate Data, Exercise 34: Exercise 6H

Natasha Awada Mathematics Solutions for Exercise - Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Representing Data: Statistics for Univariate Data, Exercise 34: Exercise 6H

Questions from Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Representing Data: Statistics for Univariate Data, Exercise 34: Exercise 6H with Hints & Solutions

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