Middle School

For the following list of data, calculate:

(a) the mean,
(b) the median, and
(c) the mode or modes (if any).

Data: 133, 135, 147, 131, 147, 136

Answer :

The mean of the data set 133, 135, 147, 131, 147, 136 is about 138.17, the median is 135.5, and the mode is 147.

Calculating Mean, Median, and Mode

The given set of data: 133, 135, 147, 131, 147, 136 needs a calculation of the mean, median, and mode.

Mean: To find the mean, add all the numbers together and divide by the number of numbers. (133 + 135 + 147 + 131 + 147 + 136) / 6 = 829 / 6 ≈ 138.17.

Median: To find the median, first arrange the numbers in ascending order: 131, 133, 135, 136, 147, 147. Since there are six numbers, the median is the average of the third and fourth values: (135 + 136) / 2 = 271 / 2 = 135.5.

Mode: The mode is the number that appears most frequently. Here, 147 appears twice, while all other numbers appear only once. Thus, the mode is 147.

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