Question

A shop has an event where 80 items are on sale each item is discounted by up to £60 a) find the upper and lower quartiles of the discounts

B) find the interquartile range of the discounts

Answer 1

To find the upper quartile, calculate 75% of 80. To find the lower quartile, calculate 25% of 80. The interquartile range is the difference between the upper and lower quartiles. The discount of £60 is the upper quartile and the discount of £20 is the lower quartile. The interquartile range is £60 - £20 = £40.

Step-by-step explanation:

To find the upper and lower quartiles of the discounts, we need to determine the values that divide the data into four equal parts. The upper quartile represents the value below which 75% of the data falls, and the lower quartile represents the value below which 25% of the data falls.

To find the upper quartile, we'll calculate 75% of 80, which equals 60. The discount of £60 is the upper quartile.

To find the lower quartile, we'll calculate 25% of 80, which equals 20. The discount of £20 is the lower quartile.

The interquartile range is the difference between the upper and lower quartiles. In this case, the interquartile range is £60 - £20 = £40.