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Math  /  Data & Statistics

QuestionA data set is summarized in the frequency table below. The data set contains a total of 30 data values. What is the missing frequency? \begin{tabular}{|cc} \hline Value & Frequency \\ \hline 1 & 5 \\ \hline 2 & 3 \\ \hline 3 & 4 \\ \hline 4 & 6 \\ \hline 5 & □\square \\ \hline 6 & 2 \\ \hline 7 & 3 \\ \hline 8 & 4 \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. The total number of data values is 30.
2. The frequencies for each value are given, except for the value 5.

STEP 2

1. Sum the known frequencies.
2. Calculate the missing frequency by subtracting the sum of known frequencies from the total number of data values.

STEP 3

List the known frequencies:
5,3,4,6,□,2,3,4 5, 3, 4, 6, \square, 2, 3, 4

STEP 4

Sum the known frequencies:
5+3+4+6+2+3+4=27 5 + 3 + 4 + 6 + 2 + 3 + 4 = 27

STEP 5

Subtract the sum of the known frequencies from the total number of data values to find the missing frequency:
30−27=3 30 - 27 = 3
The missing frequency is:
3 \boxed{3}

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