N.4

Quartiles & Interquartile Range

Find the median, the lower and upper quartiles, and the interquartile range.

Level
Medium
Problems
Daniel Math Academy · Grade 7 Math

Quartiles & Interquartile Range

Skill N.4 · Statistics & sampling · ★★☆ Medium

Name
 
Date
 
Score/ 6

Order the data. Find Q1, the median, Q3, and the IQR.

Example

, ,

Think: The median is 7. Q1 is the median of the lower half (2, 4, 5) and Q3 the median of the upper half (9, 10, 12).

  1. 1

    13, 14, 5, 27, 7, 24, 2, 18

    Q1
     
    Median
     
    Q3
     
    IQR
     
  2. 2

    25, 3, 12, 27, 6, 14, 5, 18

    Q1
     
    Median
     
    Q3
     
    IQR
     
  3. 3

    6, 13, 12, 9, 25, 16, 11, 15, 26, 28

    Q1
     
    Median
     
    Q3
     
    IQR
     
  4. 4

    17, 4, 28, 7, 11, 3, 1, 15, 21, 13

    Q1
     
    Median
     
    Q3
     
    IQR
     
  5. 5

    16, 30, 8, 25, 20, 4, 26, 7, 11

    Q1
     
    Median
     
    Q3
     
    IQR
     
  6. 6

    11, 1, 3, 17, 20, 24, 12, 2, 9, 29

    Q1
     
    Median
     
    Q3
     
    IQR
     
Daniel Math Academy · danielmath.comWorksheet #u2enzeb · Page 1 / 2
Daniel Math Academy · Grade 7 Math

Answer Key

N.4 Quartiles & Interquartile Range · ★★☆ Medium

  1. 1Q1 6 · Median 13.5 · Q3 21 · IQR 15
  2. 2Q1 5.5 · Median 13 · Q3 21.5 · IQR 16
  3. 3Q1 11 · Median 14 · Q3 25 · IQR 14
  4. 4Q1 4 · Median 12 · Q3 17 · IQR 13
  5. 5Q1 7.5 · Median 16 · Q3 25.5 · IQR 18
  6. 6Q1 3 · Median 11.5 · Q3 20 · IQR 17
Daniel Math Academy · danielmath.comWorksheet #u2enzeb · Answer Key · Page 2 / 2