Representation of Continuous Data

IMPORTANT

Representation of Continuous Data: Overview

This Topic covers sub-topics such as Grouped Data, Cumulative Frequency Distribution, Grouped Frequency Distribution Table, Cumulative Frequency Polygon, Histogram of Grouped Data, Frequency Density Histogram and, Ogive: Cumulative Frequency Curve

Important Questions on Representation of Continuous Data

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A _____ is a zig-zag line that is usually drawn in the x axis when the scale on the axis does not start from zero.

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In histogram, the _____ of each bar represents the value whereas in bar chart the _____ of each bar represents the values that they represent.

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Pie graph is used to represent data in continuous elements.

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Which graph is used to represent data in continuous elements?

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A railway line monitored 15% of its August train journeys to find their departure delay times. The results are shown below. It is given that 24 of these journeys were delayed by less than 2 minutes.
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Find the total number of journeys provided in August.

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A railway line monitored 15% of its August train journeys to find their departure delay times. The results are shown below. It is given that 24 of these journeys were delayed by less than 2 minutes.
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Calculate an estimate of the number of these journeys that were delayed by:
10 to 15 minutes.

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The masses, m grams, of 690 medical samples are given in the following table.

Mass ( m grams) 4m<12 12m<24 24m<28
No. medical samples f 224 396 70
Calculate an estimate of the number of samples with masses between 8 and 18 grams.

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A shopkeeper takes 12 bags of coins to the bank. The bags contain the following numbers of coins:
150, 163, 158, 165, 172, 152, 160, 170, 156, 162, 159 and 175
Each bag contains coins of the same value, and the shopkeeper has at least one bag containing coins with dollar values of 0.10, 0.25, 0.50 and 1.00 only.
What is the greatest possible value of all the coins in the 12 bags?

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The weights of 121 sausages are summarised in the following table.

Weight (grams) <25 <35 <45 <50 <60 <65 <80
Cumulative frequency 0 17 38 59 72 89 121

State how many sausages weighed between 45 g and 50 g.

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The weights of 230 sausages are summarised in the following table.

Weight (grams) <20 <30 <40 <45 <50 <60 <70
Cumulative frequency 0 10 60 120 150 210 230

State how many sausages weighed between 20 g and 30 g.

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The weights of 230 sausages are summarised in the following table.

Weight (grams) <20 <30 <40 <45 <50 <60 <70
Cumulative frequency 0 10 60 120 150 210 230

State how many sausages weighed between 60 g and 70 g.

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The weights of 230 sausages are summarised in the following table.

Weight (grams) <20 <30 <40 <45 <50 <60 <70
Cumulative frequency 0 20 50 100 160 210 230

State how many sausages weighed between 60 g and 70 g.

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The weights of 220 sausages are summarised in the following table.

Weight (grams) <20 <30 <40 <45 <50 <60 <70
Cumulative frequency 0 20 50 100 160 210 220

State how many sausages weighed between 20 g and 30 g.

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The weights of 220 sausages are summarised in the following table.

Weight (grams) <20 <30 <40 <45 <50 <60 <70
Cumulative frequency 0 20 50 100 160 210 220

State how many sausages weighed between 60 g and 70 g.

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The weights of 220 sausages are summarised in the following table.

Weight (grams) <20 <30 <40 <45 <50 <60 <70
Cumulative frequency 0 20 50 100 160 210 220

State how many sausages weighed between 50 g and 60 g.

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In a particular city there are 67 buildings of historical interest. The following table presents the ages of these buildings, given to the nearest 50 years.

 

Age (years) 50-150 200-300 350-450 500-600
No. buildings f 16 28 15 8
State the widths of the four class intervals.

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The densities, dg/cm3, of 107 chemical compounds are given in the following table.

 Density dg/cm3d<1.20d<1.30d<1.40d<1.58d<1.80 Number of compounds (cf)17254981107

Find the frequencies a, b, c and d 

Density dg/cm3 0- 1.20- 1.30- 1.40-1.80
Number of compounds (f) a b c d

 

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The densities, dg/cm3, of 107 chemical compounds are given in the following table.

 Density dg/cm3d<1.20d<1.30d<1.40d<1.58d<1.80 No. compounds (cf)33447697107

Find the frequencies a, b, c and d 

Density dg/cm3 0- 1.20- 1.30- 1.40-1.80
No. compounds (f) a b c d

 

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The densities, dg/cm3, of 105 chemical compounds are given in the following table.

 Density dg/cm3d<1.30d<1.38d<1.42d<1.58d<1.70 No. compounds (cf)33447697105

Find the frequencies a, b, c and d 

Density dg/cm3 0- 1.30- 1.38- 1.42-1.70
No. compounds (f) a b c d

 

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The densities, dg/cm3, of 129 chemical compounds are given in the following table.

Densitydg/cm3 d<1.30 d<1.38 d<1.42 d<1.58 d<1.70
No. compounds (cf) 42 61 88 100 121

Find the frequencies a, b, c and d given in the table below. 

Density dg/cm3 0- 1.30- 1.38- 1.42-1.70
No. compounds (f) a b c d