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Math  /  Data & Statistics

QuestionThe following data represents the age of 30 lottery winners. \begin{tabular}{|l|l|l|l|l|l|} \hline 24 & 27 & 30 & 31 & 33 & 38 \\ \hline 38 & 42 & 43 & 44 & 44 & 47 \\ \hline 47 & 50 & 50 & 51 & 59 & 60 \\ \hline 60 & 60 & 62 & 64 & 64 & 65 \\ \hline 66 & 68 & 71 & 71 & 79 & 86 \\ \hline \end{tabular}
Complete the frequency distribution for the data. \begin{tabular}{|c|lll|} \hline Age & \multicolumn{2}{|c|}{ Frequency } \\ \hline 20−2920-29 & 2 & ✓\checkmark & 080^{8} \\ \hline 30−3930-39 & 5 & ✓\checkmark & 080^{8} \\ \hline 40−4940-49 & 6 & ✓\checkmark & 080^{8} \\ \hline 50−5950-59 & 4 & ✓\checkmark & 080^{8} \\ \hline 60−6960-69 & 8 & \\ \hline 70−7970-79 & 3 & ✓\checkmark & 080^{8} \\ \hline 80−8980-89 & 1 & ✓\checkmark & 080^{8} \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. The age data for the 30 lottery winners is given as a list.
2. The goal is to complete the frequency distribution table by counting the number of ages that fall within each specified age range.
3. The age ranges are predefined as 20−2920-29, 30−3930-39, 40−4940-49, 50−5950-59, 60−6960-69, 70−7970-79, and 80−8980-89.

STEP 2

1. Organize the given data into the specified age ranges.
2. Count the number of data points (ages) that fall within each age range.
3. Complete the frequency distribution table with the counted frequencies.

STEP 3

Organize the given data into the specified age ranges:
Given data: 24,27,30,31,33,38,38,42,43,44,44,47,47,50,50,51,59,60,60,60,62,64,64,65,66,68,71,71,79,8624, 27, 30, 31, 33, 38, 38, 42, 43, 44, 44, 47, 47, 50, 50, 51, 59, 60, 60, 60, 62, 64, 64, 65, 66, 68, 71, 71, 79, 86
Age ranges: - 20−2920-29: 24,2724, 27 - 30−3930-39: 30,31,33,38,3830, 31, 33, 38, 38 - 40−4940-49: 42,43,44,44,47,4742, 43, 44, 44, 47, 47 - 50−5950-59: 50,50,51,5950, 50, 51, 59 - 60−6960-69: 60,60,60,62,64,64,65,66,6860, 60, 60, 62, 64, 64, 65, 66, 68 - 70−7970-79: 71,71,7971, 71, 79 - 80−8980-89: 8686

STEP 4

Count the number of data points (ages) that fall within each age range:
Age ranges and counts: - 20−2920-29: 2 - 30−3930-39: 5 - 40−4940-49: 6 - 50−5950-59: 4 - 60−6960-69: 9 - 70−7970-79: 3 - 80−8980-89: 1

STEP 5

Complete the frequency distribution table with the counted frequencies:
\begin{tabular}{|c|c|} \hline Age & Frequency \\ \hline 20−2920-29 & 2 \\ \hline 30−3930-39 & 5 \\ \hline 40−4940-49 & 6 \\ \hline 50−5950-59 & 4 \\ \hline 60−6960-69 & 9 \\ \hline 70−7970-79 & 3 \\ \hline 80−8980-89 & 1 \\ \hline \end{tabular}

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