Number of Tickets Issued As part of a statistics project,

Chapter 3, Problem 4RE

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QUESTION:

Problem 4RE

Number of Tickets Issued As part of a statistics project, a student surveys 30 randomly selected students and asks them how many speeding tickets they have been issued in the past month. The results of the survey are as follows:

1

1

0

1

0

0

0

0

0

1

0

1

0

1

2

0

1

1

0

0

0

0

1

1

0

0

0

0

1

0

(a) Draw a frequency histogram of the data and describe its shape.

(b) Based on the shape of the histogram, do you expect the mean to be more than, equal to, or less than the median?

(c) Determine the mean and the median of the number of tickets issued.

(d) Determine the mode of the number of tickets issued.

Questions & Answers

QUESTION:

Problem 4RE

Number of Tickets Issued As part of a statistics project, a student surveys 30 randomly selected students and asks them how many speeding tickets they have been issued in the past month. The results of the survey are as follows:

1

1

0

1

0

0

0

0

0

1

0

1

0

1

2

0

1

1

0

0

0

0

1

1

0

0

0

0

1

0

(a) Draw a frequency histogram of the data and describe its shape.

(b) Based on the shape of the histogram, do you expect the mean to be more than, equal to, or less than the median?

(c) Determine the mean and the median of the number of tickets issued.

(d) Determine the mode of the number of tickets issued.

ANSWER:

Solution:

Step 1 of 3:

The data about the response of 30 randomly selected students is given.

We have to find the following.

  1. The frequency histogram and shape of the data.
  2. Based on the shape of the histogram, we have to determine mean or median is more.
  3. We have to determine mean and the median of the number of tickets issued.
  4. We have to determine the mode of the number of tickets issued.

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