Answer: £45
Step-by-step explanation:
The upper and lower quartiles of the discounts are £45 and £20 respectively.The interquartile range of the discounts is £25.How to determine the upper and lower quartiles of the discounts?Based on the information provided about the discount on sale items shown in the graph (line plot) attached below, the upper and lower quartiles of the discounts can be calculated by using the following mathematical expressions;Upper quartile, P₇₅ = 80 × 75/100Upper quartile, P₇₅ = 60, which corresponds to £45.Lower quartile, P₂₅ = 80 × 25/100Lower quartile, P₂₅ = 20, which corresponds to £20.Mathematically, interquartile range (IQR) of a data set is typically calculated as the difference between the first quartile (Q₁) and third quartile (Q₃):Interquartile range (IQR) = Q₃ - Q₁ = P₇₅ - P₂₅Interquartile range (IQR) = 45 - 20Interquartile range (IQR) = £25.Read more on interquartile range here: brainly.com/question/26392028#SPJ1Complete Question:A shop has an event where 80 items are on sale. Each item is discounted by u to £60. a. Find the upper and lower quartiles of the discounts.b. Find the interquartile range of the discounts.
