Question

emma works at harvest hollow farm. she recorded the number of berries in a sample of 7 pints of raspberries and a sample of 7 pints of blackberries. the lists show her results.
raspberries
22 19 26 21 24 30 25
blackberries
18 14 17 16 19 21 18
complete the table. write your answers as whole numbers or decimals rounded to the nearest tenth.
median
raspberries 24
blackberries
interquartile range
blackberries 3
raspberries

Explanation:

Step1: Sort the blackberries data

Sort the blackberries data: \(14,16,17,18,18,19,21\)

Step2: Find the median

The median is the middle value. For \(n = 7\) data points, the median is the \(\frac{n + 1}{2}\) -th value. \(\frac{7+1}{2}=4\) -th value. So the median is \(18\).

Step3: Sort the raspberries data

Sort the raspberries data: \(19,21,22,24,25,26,30\)

Step4: Find the inter - quartile range for raspberries

First, find \(Q_1\) (the median of the lower half). For \(n = 7\), the lower half is \(19,21,22\), \(Q_1=21\). The upper half is \(25,26,30\), \(Q_3 = 26\). The inter - quartile range \(IQR=Q_3 - Q_1=26 - 21=5\)

Answer:

Blackberries median: \(18\); Raspberries inter - quartile range: \(5\)