Step: 1

[Original data set.]

Step: 2

The number of times 1 5 occurred in the set = 2

Step: 3

The number of times 2 5 occurred in the set = 1

Step: 4

The number of times 3 5 occurred in the set = 4

Step: 5

The number of times 4 5 occurred in the set = 1

Step: 6

The number of times 1 occurred in the set = 4

Step: 7

The number of times data value occurs in data is indicated by cross marks above the value on a number line.

Step: 8

By comparing the above steps by the line plots, Graph 1 is an appropriate line plot.

Correct Answer is : Graph 1

Step: 1

Each cross mark plotted above on the number line represents the length of each stick in yards.

Step: 2

The total length of the sticks that are 1 yd long = 1 × 1 = 1 yd.

Step: 3

The total length of the sticks that are 11 2 yd long = 2 × 11 2 = 3 yd.

Step: 4

The total length of the sticks that are 2 yd long = 3 × 2 = 6 yd.

Step: 5

The total length of the sticks that are 2 1 2 yd long = 2 × 2 1 2 = 5 yd.

Step: 6

The total length of the sticks that are 3 yd long = 2 × 3 = 6 yd.

Step: 7

So, the total length of all the sticks = 1 + 3 + 6 + 5 + 6 = 21 yd.

Correct Answer is : 21

Step: 1

Each bottle is indicated by cross mark above the value on a number line.

Step: 2

From the line plot, the volume of the bottle with maximum number of bottles = 3 lt.

[Count the number of cross marks above the volume 3 lt.]

Step: 3

The volume of the bottle with minimum number of bottles = 1 1 2 lt.

[Count the number of cross marks above the volume 1 1 2 lt.]

Step: 4

Therefore, the difference between the two volumes = 3 - 1 1 2 = 3 - 3 2 = 6 - 3 2 = 1 1 2 lt.

[Since the L.C.M is 2]

Correct Answer is : 1 1 2 lt

Step: 1

Each cross above a weight (in kg) plotted in the number line represents one brass jar of that weight.

Step: 2

From the given data, the number of brass jars having a weight of 1 2 kg = 4.

Step: 3

The number of brass jars having a weight of 1 1 2 kg = 1.

Step: 4

The number of brass jars having a weight of 2 1 2 kg = 4.

Step: 5

The number of brass jars having a weight of 3 1 2 kg = 2.

Step: 6

Match the list with the graphs shown.

Step: 7

We find that Graph 3 represents the data correctly.

Correct Answer is : Graph 3

Step: 1

Each cross above a length (in inch) plotted in the number line represents length of one fish.

Step: 2

The number of fishes with the length of 8 1 4 inches = 2.

[Count the cross marks above the length 8 1 4 in.]

Step: 3

So, therefore the total lengths of the 2 fishes are = 8 1 4 + 8 1 4 = 16 1 2 inches.

[Add the whole numbers and add the fractions.]

Correct Answer is : 16 1 2 in.

Step: 1

Each pencil is indicated by cross marks above the value on a number line.

Step: 2

The number of pencils which are having length 3 1 2 in. are 3.

Step: 3

When the 3 1 2 inch pencils are placed end to end, the length will be 3 1 2 + 3 1 2 + 3 1 2 .

[Add the whole numbers and add the fractions.]

Step: 4

= 9 + 3 2 = 9 + 1 + 1 2 =10 1 2 .

Step: 5

Therefore, when the 3 1 2 inch pencils are placed end to end, the total length will be 10 1 2 in.

Correct Answer is : 10 1 2 in.

Step: 1

The number of cross marks above a number represents the number of people of the particular height.

Step: 2

Count the number of cross marks above 5 2 5 ft, 5 3 5 ft, 5 4 5 ft and 6 ft.

Step: 3

So, there are 11 people above 5 1 5 ft in the office.

Correct Answer is : 11

Step: 1

Each cross mark above particular length (in inch) plotted on the graph represents the length of one object.

Step: 2

The number of cross marks corresponding to the value 1 2 in. on the line plot = 5.

Step: 3

Therefore we can conclude that 5 objects are having 1 2 inch length.

Correct Answer is : 5

Step: 1

[Original data set]

Step: 2

The number of times a data value occurs in the data set is indicated by cross marks above the respective data value on the number line.

Step: 3

The number of times 1 9 occurred in the set = 3.

Step: 4

The number of times 2 9 occurred in the set = 1.

Step: 5

The number of times 3 9 occurred in the set = 2.

Step: 6

The number of times 4 9 occurred in the set = 1.

Step: 7

The number of times 5 9 occurred in the set = 1.

Step: 8

Comparing the steps above with the line plots, we find Figure 3 is the appropriate line plot.

Correct Answer is : Figure 3

Step: 1

The number of biscuits is represented on the number line.

Step: 2

The number of students is shown using number of cross marks above particular number.

Step: 3

The number of cross marks above 14 1 2 is 4.

Step: 4

The number of cross marks above 15 is 6.

Step: 5

The number of cross marks above 15 1 2 is 4.

Step: 6

The number of students having at most 15 1 2 biscuits = number of students having 14 1 2 biscuits + number of students having 15 biscuits + number of students having 15 1 2 biscuits

Step: 7

= 4 + 6 + 4

[Substitute the values.]

Step: 8

= 14

[Add.]

Correct Answer is : 14

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