Knowee
Questions
Features
Study Tools

The lengths (mm) of twenty leaves of a certain variety of plant in a botanical garden are given as145, 162, 175, 129, 165, 118, 126, 154, 125, 174, 116, 138, 147, 142, 179, 129, 164, 132, 160, 175, 146, 133, 121, 132, and 142.If the width of the class interval is taken as 10, which of the following frequency tables represents the given data?aLength (mm) Number of leaves116โ€“125 4126โ€“135 6136โ€“145 4146โ€“155 3156โ€“165 4166โ€“175 3176โ€“185 1bLength (mm) Number of leaves116โ€“125 6126โ€“135 4136โ€“145 1146โ€“155 3156โ€“165 4166โ€“175 3176โ€“185 4cLength (mm) Number of leaves116โ€“125 4126โ€“135 3136โ€“145 4146โ€“155 6156โ€“165 4166โ€“175 3176โ€“185 1dLength (mm) Number of leaves116โ€“125 1126โ€“135 4136โ€“145 4146โ€“155 3156โ€“165 4166โ€“175 6176โ€“185 3

Question

The lengths (mm) of twenty leaves of a certain variety of plant in a botanical garden are given as145, 162, 175, 129, 165, 118, 126, 154, 125, 174, 116, 138, 147, 142, 179, 129, 164, 132, 160, 175, 146, 133, 121, 132, and 142.If the width of the class interval is taken as 10, which of the following frequency tables represents the given data?aLength (mm) Number of leaves116โ€“125 4126โ€“135 6136โ€“145 4146โ€“155 3156โ€“165 4166โ€“175 3176โ€“185 1bLength (mm) Number of leaves116โ€“125 6126โ€“135 4136โ€“145 1146โ€“155 3156โ€“165 4166โ€“175 3176โ€“185 4cLength (mm) Number of leaves116โ€“125 4126โ€“135 3136โ€“145 4146โ€“155 6156โ€“165 4166โ€“175 3176โ€“185 1dLength (mm) Number of leaves116โ€“125 1126โ€“135 4136โ€“145 4146โ€“155 3156โ€“165 4166โ€“175 6176โ€“185 3

...expand
๐Ÿง Not the exact question you are looking for?Go ask a question

Solution

To answer this question, we need to count the number of leaves that fall into each class interval.

  1. Class interval 116-125: The leaves with lengths in this interval are 118, 125, 121, 116. So, there are 4 leaves in this interval.

  2. Class interval 126-135: The leaves with lengths in this interval are 129, 126, 129, 132, 133, 132. So, there are 6 leaves in this interval.

  3. Class interval 136-145: The leaves with lengths in this interval are 145, 138, 142, 142. So, there are 4 leaves in this interval.

  4. Class interval 146-155: The leaves with lengths in this interval are 154, 147, 146. So, there are 3 leaves in this interval.

  5. Class interval 156-165: The leaves with lengths in this interval are 162, 165, 164, 160. So, there are 4 leaves in this interval.

  6. Class interval 166-175: The leaves with lengths in this interval are 175, 174, 175. So, there are 3 leaves in this interval.

  7. Class interval 176-185: The leaves with lengths in this interval are 179. So, there is 1 leaf in this interval.

So, the correct frequency table is:

Length (mm) Number of leaves 116โ€“125 4 126โ€“135 6 136โ€“145 4 146โ€“155 3 156โ€“165 4 166โ€“175 3 176โ€“185 1

Therefore, the answer is option a.

This problem has been solved

Similar Questions

The lengths of 50 leaves of a plant are measured correct to the nearest millimetre and the data obtained is represented in the following tableFind the mean length of the leavesSelect one:a.137.3b.137c.136.3d.136

What is the frequency of the class 11-20 in the below given data?

The frequency distribution table of heights (in centimeters) of a group of students with a class width of 6 are as follows: 150, 152, 154, 156, 158, 160, 162, 164, 166, 168. What is the lower boundary of the class interval 156-161?Group of answer choices161.5160155.5156.5

The relative humidities, expressed in percentages, of a city over a certain month are listed as follows:74, 92, 78, 70, 84, 75, 91, 78, 96, 87, 95, 79, 82, 89, 72, 92, 70, 75, 82, 83, 87, 90, 93, 85, 80, 78, 74, 76, 79, 82.If the width of the class interval is taken as 5, then which of the following frequency tables represents the given data?aRelative Humidity (Percentage) Number of Days70โ€“74 675โ€“79 880โ€“84 485โ€“89 490โ€“94 595โ€“100 3 bRelative Humidity (Percentage) Number of Days70โ€“74 675โ€“79 880โ€“84 685โ€“89 490โ€“94 595โ€“100 2cRelative Humidity (Percentage) Number of Days70โ€“74 675โ€“79 880โ€“84 485โ€“89 490โ€“94 695โ€“100 3 dRelative Humidity (Percentage) Number of Days70โ€“74 675โ€“79 880โ€“84 485โ€“89 590โ€“94 595โ€“100 2

A lawn care business is reviewing the number of lawns they mowed during the last 14 weeks. The data is asfollows: 41, 36, 20, 28, 30, 24, 24, 31, 22, 34, 25, 27, 27, 25a) Create a frequency table using 20 โ€“ 24 as the first interval.b) Draw a histogram of the frequency table.c) Describe the shape of the data set (distribution)

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.