Box and Whiskers Practice PacketName ______

AlgebraD______B______

  • The box and whisker plot is divided into 4 parts so each part is _____%.
  • The interquartile range is the values between _____ and ____ (the box).
  • To find the number of data in a given set, multiply the % by ______number of items.

Surfboard Sales for Shop A and Shop B

Shop A has 20 surfboards for sale Shop B has 24 surfboards for sale

Examples:

a. How many surfboards cost no more than $300 at Shop B? 25% (.25) × 24 = 6 surfboards

b. How many surfboards at shop A cost at least $500? 50% (.5) x 20 = ______surfboards

c. How many surfboards at shop B cost at least $300? 75% (.75) × 24 = ______surfboards

  1. At Shop A:a. How many boards cost at least $600?

b. How many boards cost no more than $500?

  1. At Shop B: How many boards cost at least $600?
  2. What is the range of surfboard prices for Shop A?
  3. What is the interquartile range of surfboard prices for Shop B?
  4. Jesse can spend up to $400 on a surfboard.
  1. How many surfboards are for sale at shop A that cost no more than $400?
  2. How many surfboards are for sale at shop B that cost no more than $400?
  3. How many total boards for no more than $400 does she have to choose from if she goes to both of the stores to shop?
  1. A. How many surfboards are for sale at shop A that cost $400 or more?

B. How many surfboards are for sale at shop B that cost $400 or more?

c. If Jacob earned money working this past summer and is shopping for a nice surfboard that cost at least $400 dollars, how many boards does he have to choose from if he goes to both of the stores?

Extra Practice- Remember to round each set before adding to find a total.

1.
Leah has gone out to eat for 6 months. Jaclyn has gone out to eat for 9 months.
  1. How many months did Leah spend $40 or less?
  1. How many months did Jacklyn spend at most $70 (round up)?
  1. How many months combined did Leah and Jaclyn spend $10 or more at a restaurant?

2.
Scientists have tracked the water level at Norwood for 100 days. Scientists have tracked the water level at Castroville for 60 days.
  1. How many days combined have the reservoirs water level been no more than 55 feet?
  1. How many days combined have the reservoirs water level been at least 45 feet?

3.
Celeste’s class has been assigned homework on 10 nights this school year. Lorcan’s class has been assigned homework on 16 nights this school year.
  1. Excluding outliers, how many nights combined have Celeste and Lorcan been assigned at least 25 minutes of homework?
  1. Excluding outliers, how many nights combined have Celeste and Lorcan been assigned
50 minutes of homework or less?
  1. Excluding outliers, how many nights combined have Celeste and Lorcan been assigned at least 40 minutes of homework?

4. Ages of Players on the Yankees and Rangers During a regularseason.

There are 40 players on the roster for the Yankees. There are 25 players on the roster for the Rangers.
  1. How many players of the Yankees are no more than 31 years old?
  1. How many players on the Rangers areat least 25 years old?
  1. Is there a large difference between the ranges of ages on the teams? Prove it mathematically!
  1. Combined, how many players are 31 or older?

5. Mrs. McFrye’s and Mr. McFrizzle’s Algebra 1 Test Scores


There are 25 students in Mrs. McFrye’s class. There are 30 students in Mr. Frizzle’s class.
  1. How many students in Mrs. McFrye’s class scored a 90 or greater?
  1. How many students in Mr. McFrizzle’s class scored a 90 or greater?
  1. Combined, how many students in both classes scored a 90 or greater?
  1. How many students in Mr. McFrizzle’s class scored an 80 or less?

6. Car Sales per Month at a Dealership in Bargaintown

Sales Rep A has worked for 1 year. Sales Rep B has worked for 2 years. Data points represent sales in a given month.
  1. How many months did Sales Rep A sell 14 to 16 cars?
  1. How many months did Sales Rep B sell 14 to 16 cars?
  1. Combined, how many months did Sales Rep A and Sales Rep B sell 14 to 16 cars?
  1. Combined, how many months did Sales Rep A and Sales Rep B sell 8 or more cars?