Question

answer to two decimal places
find the mode:
find the range:
find the standard deviation:
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Explanation:

Step1: Find the mode

The mode is the number that appears most frequently. In the data set \(29,5,18,11,26,8,25,3,18,7\), the number \(18\) appears twice, more frequently than other numbers.

Step2: Find the range

The range is calculated as \(max - min\). The maximum value in the data set is \(29\) and the minimum value is \(3\). So, \(range=29 - 3=26\).

Step3: Find the standard deviation

First, find the mean \(\bar{x}\).

$$ \bar{x}=\frac{29 + 5+18+11+26+8+25+3+18+7}{10}=\frac{150}{10} = 15 $$

Then, calculate the variance \(s^{2}\).

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The standard deviation \(s=\sqrt{s^{2}}=\sqrt{\frac{818}{9}}\approx9.49\)

Answer:

18, 26, 9.49