Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
3. Measures of Center
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Exercise 23 Page 431

The mean is the mathematical average. The median is the middle value. The mode is the most repeated value.

Mean: 7.61
Median: 7.42
Mode: This set does not have a mode

Practice makes perfect

We want to find the mean, median, and mode of the given data set. 4.7, 8.51, 6.5, 7.42, 9.64, 7.2, 9.3

Mean

The mean of a data set is the sum of the values divided by the total number of values in the set. Let's start by calculating the sum of the given values. You can use the calculator. 4.7+ 8.51+ 6.5+ 7.42+ 9.64+ 7.2+ 9.3 = 53.27

There are 7 values in our set, so we have to divide the sum by 7. Mean: 53.27/7=7.61

Median

When the data are arranged in numerical order, the median is the middle value — or the mean of the two middle values — in a set of data. Let's arrange the given values and find the median. 4.7, 6.5, 7.2, 7.42, 8.51, 9.3, 9.64 The median of this set is 7.42. Median: 7.42

Mode

The mode is the value or values that appear most often in a set of data. Arranging the data set from least to greatest makes it easier to see how often each value appears. Let's arrange the values before we find the mode. 4.7, 6.5, 7.2, 7.42, 8.51, 9.3, 9.64 Since the data set does not contain any repeated values, there is no mode. Mode: This set does not have a mode