Question a)
To find the quartiles, first, we need to put the data in ascending order.
The value of Q₂ [Median] is on the 7th value, which is 73
The value of Q₁, the lower quartile, is the 3.5th value, which is 69
The value of Q₃, the upper quartile, is the 10.5th value, which is 76.5
Interquartile range = Q₃ - Q₁ = 76.5 - 69 = 7.5
Question b)
The 35th percentile is located at 0.35 × 13 = 4.55 ≈ 5th value
The 5th value is 71 ⇒ Need to read this when data is in ascending order
Question c)
Percentile rank of 71 is located at 0.71 × 13 = 9.23 ≈ 9th value
The 9th value is 75 ⇒ Need to read this when data is in ascending order
To find the quartiles, first, we need to put the data in ascending order.
The value of Q₂ [Median] is on the 7th value, which is 73
The value of Q₁, the lower quartile, is the 3.5th value, which is 69
The value of Q₃, the upper quartile, is the 10.5th value, which is 76.5
Interquartile range = Q₃ - Q₁ = 76.5 - 69 = 7.5
Question b)
The 35th percentile is located at 0.35 × 13 = 4.55 ≈ 5th value
The 5th value is 71 ⇒ Need to read this when data is in ascending order
Question c)
Percentile rank of 71 is located at 0.71 × 13 = 9.23 ≈ 9th value
The 9th value is 75 ⇒ Need to read this when data is in ascending order