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hammer [34]
2 years ago
11

Consider the set of differences, denoted with d, between two dependent sets: 84, 85, 83, 63, 61, 100, 98. Find the sample standa

rd deviation sd and round it to the nearest tenth.
Mathematics
1 answer:
sveta [45]2 years ago
4 0

Answer:

The sample standard deviation is 15.3.

Step-by-step explanation:

Given data items,

84, 85, 83, 63, 61, 100, 98,

Number of data items, N = 7,

Let x represents the data item,

Mean of the data points,

\bar{x}=\frac{84+85+83+63+61+100+98}{7}

=82

Hence, sample standard deviation would be,

\sigma= \sqrt{\frac{1}{N-1}\sum_{i=1}^{N} (x_i-\bar{x})^2}

=\sqrt{\frac{1}{6}\sum_{i=1}^{7} (x_i-82)^2}

=\sqrt{\frac{1}{6}\times 1396}

=\sqrt{232.666666667}

=15.2534149182

\approx 15.3

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