Question

addison made beaded necklaces in art class to sell for charity. the 7 necklaces used: 91 beads 33 beads 89 beads 24 beads 20 beads 94 beads 97 beads. what was the mean absolute deviation of the numbers of beads used? if the answer is a decimal, round it to the nearest tenth. mean absolute deviation (mad): beads

Explanation:

Step1: Calculate the mean

The data set is \(91,33,89,24,20,94,97\). The mean \(\bar{x}=\frac{91 + 33+89+24+20+94+97}{7}=\frac{448}{7}=64\).

Step2: Calculate the absolute - deviations

\(\vert91 - 64\vert=27\), \(\vert33 - 64\vert = 31\), \(\vert89 - 64\vert=25\), \(\vert24 - 64\vert = 40\), \(\vert20 - 64\vert=44\), \(\vert94 - 64\vert = 30\), \(\vert97 - 64\vert=33\).

Step3: Calculate the mean of the absolute - deviations

The sum of the absolute - deviations is \(27+31+25+40+44+30+33 = 230\). The mean absolute deviation \(MAD=\frac{230}{7}\approx32.9\).

Answer:

\(32.9\)