Calculate the mean, mode, and range for the following data set: 4.9, 5.6, 6.2, 6.6, 6.6, 6.8, 7.8, 7.8, 8.9…

Question

Calculate the mean, mode, and range for the following data set: 4.9, 5.6, 6.2, 6.6, 6.6, 6.8, 7.8, 7.8, 8.9, 9.6, 9.7, 10.2, 10.2, 10.8, 12.5, 13.2, 14.5, 16.7.

ScanSolve AI Tutor · Accepted Answer

Here are the calculations for the given data:

First, let's list the data in ascending order:

4.9, 5.6, 6.2, 6.6, 6.6, 6.8, 7.8, 7.8, 8.9, 9.6, 9.7, 10.2, 10.2, 10.8, 12.5, 13.2, 14.5, 16.7

The number of data points is $n = 18$ .

2.1.1 Mean

Sum all the data points.
$\sum x = 4.9 + 5.6 + 6.2 + 6.6 + 6.6 + 6.8 + 7.8 + 7.8 + 8.9 + 9.6 + 9.7 + 10.2 + 10.2 + 10.8 + 12.5 + 13.2 + 14.5 + 16.7$ $\sum x = 162.6$
Divide the sum by the number of data points ( $n=18$ ).
$\text{Mean} = \frac{\sum x}{n} = \frac{162.6}{18}$ $\text{Mean} = 9.0333...$ $\boxed{\text{Mean} = \textbf{9.03}}$
2.1.2 Mode
Identify the values that appear most frequently in the data set.
From the sorted data, the values 6.6, 7.8, and 10.2 each appear twice, which is more than any other value.
$\boxed{\text{Mode} = \textbf{6.6, 7.8, 10.2}}$
2.1.3 Range
Identify the highest and lowest values in the data set.
Highest value = 16.7
Lowest value = 4.9
Calculate the difference between the highest and lowest values.
$\text{Range} = \text{Highest value} - \text{Lowest value}$ $\text{Range} = 16.7 - 4.9$ $\text{Range} = 11.8$ $\boxed{\text{Range} = \textbf{11.8}}$

Calculate the mean, mode, and range for the following data set: 4.9, 5.6, 6.2, 6.6, 6.6, 6.8, 7.8, 7.8, 8.9, 9.6, 9.7, 10.2, 10.2, 10.8, 12.5, 13.2, 14.5, 16.7.

Answer

Step-by-step solution

Sum all the data points.

Divide the sum by the number of data points ( $n=18$ ).

Identify the values that appear most frequently in the data set.

Identify the highest and lowest values in the data set.

Calculate the difference between the highest and lowest values.

Try one yourself

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More Mathematics Questions

Calculate the mean, mode, and range for the following data set: 4.9, 5.6, 6.2, 6.6, 6.6, 6.8, 7.8, 7.8, 8.9, 9.6, 9.7, 10.2, 10.2, 10.8, 12.5, 13.2, 14.5, 16.7.

Answer

Step-by-step solution

Sum all the data points.

Divide the sum by the number of data points (n=18n=18n=18).

Identify the values that appear most frequently in the data set.

Identify the highest and lowest values in the data set.

Calculate the difference between the highest and lowest values.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Divide the sum by the number of data points ( $n=18$ ).