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SSSSS [86.1K]
3 years ago
12

Find the interquartile range of the following data set.

Mathematics
2 answers:
sasho [114]3 years ago
8 0

Answer:

\huge\boxed{IQR = 21}

Step-by-step explanation:

The data set given is:

57,63,44,29,36,62,48,50,42,34

Arrange in ascending order:

29,34,36,42,44,48,50,57,62,63

Place parenthesis around the number making two equal sets.

(29,34,36,42,44) | (48,50,57,62,63)

            ↑                             ↑

            Q1                          Q3

Q1 = 36 , Q3 = 57

So, IQR = Q3-Q1

IQR = 57-36

IQR = 21

sweet [91]3 years ago
7 0

Answer:

\huge \boxed{\sf A. \ 21}

Step-by-step explanation:

The data set is given,

\sf 57 \ 63 \ 44 \ 29 \ 36 \ 62 \ 48 \ 50 \ 42 \ 34

Arrange the data set in ascending order.

\sf 29 \ 34 \ 36  \  42  \  44 \ 48  \  50  \  57  \  62  \  63

Split the data set into two equal sets.

\sf 29 \ 34 \ 36  \  42  \  44   \   \    \  48  \  50  \  57  \  62  \  63

Find the median of the lower half and upper half.

\sf Median \ of \ lower \ half = 36

\sf Median \ of \ upper \ half = 57

Interquartile range = median of upper half - median of lower half

\sf IQR = 57 - 36

\sf IQR = 21

The interquartile range for the number of points scored at ten basketball games is 21.

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