Name______Date______Bell ______
Mean, Median, Mode, Range
and Box & Whisker Plots Review
Directions: Read the following problems and answer them appropriately. If you study this you will be prepared for the quiz tomorrow. Remember to also know your vocabulary!!!
1. The following list of numbers shows the number of kayaks the Paddle Shack rented each month last year.
15, 11, 29, 34, 58, 52, 49, 49, 33, 16, 25, 44
a. List the numbers from least to greatest.
b. What is the range of the data set?
c. What is the mean?
d. What is the median?
e. What is the mode?
f. What is the lower quartile?
g. What is the upper quartile?
h. What is the interquartile range?
i. Draw a box and whisker plot using the information above. Label the minimum value, the maximum value, the median, the lower quartile and the upper quartile.
ß----|------|------|------|------|------|------|------|------|------|------|----à
10 15 20 25 30 35 40 45 50 55 60
2. Andrew wants to know how a grade will improve his overall average. Currently, he has the 10 following grades on his tests and quizzes.
96, 85, 92, 72, 55, 69, 98, 79, 87, 85
a. How would the mean of his test scores be affected if he
scores an 87% on his next test?
b. How would this grade affect the median?
c. How will the mean of his test scores be affected if he scores a
75% on his next test?
d. How will this grade affect the mode?
3. Jeremy wanted to compare cellular phone plans, so he kept track of the minutes he spent using his phone for eight months. The following table shows the amount of minutes he spent using his phone each month.
Month / March / April / May / June / July / Aug. / Sept. / Oct.Minutes / 569 / 641 / 837 / 955 / 972 / 931 / 772 / 633
a. Find the mean, median and mode(s) of the data set.
b. Set up a box and whisker plot below on the number line. Label the minimum value, maximum value, lower quartile, upper quartile and the interquartile range.
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500 600 700 800 900 1000
4. The following data set shows the number of students in 7th grade band for each of the last 12 years.
55, 62, 71, 69, 46, 63, 87, 72, 68, 65, 70, 71
The 7th grade class this year has a band that has 68 kids in it.
a. How will the size of this year’s band affect the mean of the data from the last 12 years? Explain and show your work.
b. How will the size of this year’s band affect the median of the data from the last 12 years? Explain and show your work.
c. How will the size of this year’s band affect the mode of the data from the last 12 years? Explain and show your work.
6. Using the following box and whisker plots identify the range, minimum value, maximum value, lower quartile, upper quartile, median and interquartile range.
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200 300 400 500 600 700 800 900
Range ______Lower Quartile ______
Min. Value ______Upper Quartile ______
Max. Value ______Median ______
I.Q.R. ______
Answer the following questions as true or false using the Box & Whisker Plot above.
_____ 1. ¾ of the data is less than 700.
_____ 2. ½ of the data is greater than 500.
_____ 3. 100% of the data is less than 200.
_____ 4. 25% of the data is less than 500.