Question

use the display of data to find the mean, median, mode, and midrange. the mean of the data is □. (round to the nearest tenth as needed.)

Explanation:

Step1: Determine the mid - points and frequencies

Assume the class intervals: \(0 - 10\), \(10 - 20\), \(20 - 30\), \(30 - 40\), \(40 - 50\). The mid - points \(x_i\) are \(5\), \(15\), \(25\), \(35\), \(45\). Let the frequencies \(f_i\) be \(1\), \(6\), \(7\), \(6\), \(1\) (estimated from the bar heights).

Step2: Calculate \(\sum f_ix_i\) and \(\sum f_i\)

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$$ \sum f_i=1 + 6+7 + 6+1=21 $$

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum f_ix_i}{\sum f_i}\)

$$ \bar{x}=\frac{525}{21}=25 $$

Answer:

\(25.0\)