MEAN MEDIAN MODE DOT PLOT WORKSHEET

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Problem 1 :

Use the line plot. Find the

(i) Mean   (ii) Median   (iii) Mode and (iv) Range 

of the data.

dotplotq1

Solution

Problem 2 :

The dot plot shows the types of pets treated at a vet on one day.

a) How many pets were treated on this day?

b) Find the mode of the data.

c) What percentage of the pets treated were fish?

dotplotq2

b) 100 plus is the mode.

Solution

Problem 3 :

Four girls on a high school track and field team practice the shot put. Each girl made 10 attempts, and the distances measure after each attempt are shown on the plots below.

a)  Which girl’s range of distance was the greatest?

dotplotq4p1

Solution

Problem 4 :

Find the mean, median, and mode of each dot plot.

dotplotq5

Solution

Problem 5 :

A teacher drew a line segment that was 20 inches long on the blackboard. She asked each of her students to estimate the length of the segment and used their estimates to draw this dot plot.

mean-median-mode-of-dot-plot-q1

a. How many students were in the class?

b. Were students generally accurate in their estimates of the length of the line? Explain your reasoning.

Solution

Problem 6 :

Determine if each statement is true or false.

mean-median-mode-of-dot-plot-q2

a) The range of the data for the heights of softball players is less than the range of the data for the heights of basketball players.

b) The median of the data for the heights of softball players is greater than the median of the data for the heights of basketball players

Solution

Answer Key

1) mean number of pets is 2.

Median = 1

Mode = 1

Range = 6

2) a)  total number of pets treated is 20.

b) Mode of the data is dog.

c) 20%

3) a)

dotplotq3

b) b) 100 plus is the mode

4)  Candance's attempts has greatest attempts of distance.

5) Mean = 8, Median = 8, Mode = 3.

b) Mean = 22.95, median = 25, mode = 20 and 25 are modes

6)  a) total number of students is 18.

b) estimated length of line is 19 inches.

7) a) True

b) False

Problem 1 :

Martha conducted a random survey during lunch. She asked 20 students and 20 teachers how many siblings they have. The survey data are represented in the dot plots below. Based on the data in the dot plots, fill in the blanks to create a true statement.comparingdotplotq1.png

comparingdotplotq1

1) The range of the data for the survey results for teachers is _________ than the range of the data for the survey results for the students.

2) The mode of the data for the survey results for teachers is _________ than the mode of the data for the survey results for the students.

3) The data for the survey for _________ is more symmetrical than the data for the survey for _________.

4) The median of the data for the survey results for teachers is _________ than the median of the data for the survey results for the students.

5) The greatest number of siblings for teachers is _________ than the greatest number of siblings for students.

Solution

Problem 2 :

Use the following information for questions. Determine if each statement is true or false.

comparingdotplotq2

1) The range of the data for the heights of softball players is less than the range of the data for the heights of basketball players.

Solution

2) The median of the data for the heights of softball players is greater than the median of the data for the heights of basketball players.

Solution

Problem 3 :

The dot plots below represent two sets of data. 

comparingdotplotq2

Here are three statements about the data.

I. The mode of the data in Set A is equal to the mode of the data in Set B.

II. The range of the data in Set A is less than the range of the data in Set B.

III. The median of the data in Set A is greater than the median of the data in Set B.

Which of these three statements appear to be true?

F I only          G I and II            H II and III         J III only

Solution

Problem 4 :

The teacher recorded the number of words that her students could type per minute at the beginning of a course and again at the end. The two dot plots show the two data sets.

comparing-dot-plot-nq1

a. Overall, the students typing speed did not improve. They typed at the same speed at the end of the course as they did at the beginning.

b. 20 words per minute is a good estimate for how fast, in general, the students typed at the beginning of the course.

c. 20 words per minute is a good description of the enter of the data set at the end of the course.

Solution

Answer Key

1)

1) greater

2) lesser

3) students, teachers

4) lesser

5) lesser

2) 1) True    2) False

3) III only true.

4) a) the given statement is wrong. At the end of the course the speed is improved.

b) At the beginning of the course 3 students typed 20 words per minute

c) At the end of the course 1 student types 20 words per minute

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