Answered: "The data below list the number of laptop..."

Sherry Becker

Answered question

2021-11-30

The data below list the number of laptop computers owned by families in each of 40 homes in a subdivision. Draw the frequency distribution of the following list of data. Then find their mean, median and mode. Show your solution.

\begin{array}{cc} 2 & 0 & 3 & 1 & 2 & 1 & 0 & 4 \\ 2 & 1 & 1 & 7 & 2 & 0 & 1 & 1 \\ 0 & 2 & 2 & 1 & 3 & 2 & 2 & 1 \\ 1 & 4 & 2 & 5 & 2 & 3 & 1 & 2 \\ 2 & 1 & 2 & 1 & 5 & 0 & 2 & 5 \end{array}

Answer & Explanation

Edward Belanger

Beginner2021-12-01Added 11 answers

Step 1
We will make a frequency table using the given data
$\begin{array}{cc} V a l u e & F r e q u e n c y \\ 0 & 5 \\ 1 & 12 \\ 2 & 14 \\ 3 & 3 \\ 4 & 2 \\ 5 & 3 \\ 6 & 0 \\ 7 & 1 \\ T o t a l & 40 \end{array}$
$0 (5) + 1 (12) + 2 (14) + 3 (3) + 4 (2) + 5 (3) + 6 (0) + 7 (1)$
Step 2
$M e a n = \frac{\sum_{i} (x_{i} f_{i})}{\sum_{i} (f_{i})} = \frac{0 (5) + 1 (12) + 2 (14) + 3 (3) + 4 (2) + 5 (3) + 6 (0) + 7 (1)}{40} = \frac{79}{40} = 1.975$
$M e d i a n = the average of \frac{40}{2} = 20 t h and \frac{40}{2} + 1 = 21 s t$ value
$M e d i a n = A v e r a g e o f 2 and 2 = \frac{2 + 2}{2} = 2$
Mode $= 2$ (because came highest number of times)
Answer:
$M e a n = 1.975$
$M e d i a n = 2$
$M o d e = 2$

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