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brilliants [131]
3 years ago
12

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question.

SAT
1 answer:
Art [367]3 years ago
5 0

The statistical values such as mean, Median and mode gives measure of centre of a data, while the midrange gives information about the spread. Hence, the statistical measures are :

  • <em>Mean</em><em> </em><em>=</em><em> </em><em>44.36</em>
  • <em>Median</em><em> </em><em>=</em><em> </em><em>38</em>
  • <em>Mode</em><em> </em><em>=</em><em> </em><em>1, 3, 16, 24, 26, 38, 49, 69, 80, 89, 93</em>
  • <em>Midrange</em><em> </em><em>=</em><em> </em><em>46</em>

<u>Given the data</u> :

  • <em>1, 3, 16, 24, 26, 38, 49, 69, 80, 89, 93</em>

Mean = [Σx ÷ n]

Mean = (24+26+89+16+38+69+93+3+1+80+49) / 11

Mean = (488 ÷ 11) = 44.36

<u>The median</u> :

  • 0.5(n + 1)th term

Median = 0.5(11 + 1) = 6th term

Median = 38

<u>The Mode</u> :

The most frequently occurring value in a distribution ; since each the value occur just one, then there is no single mode value.

<u>The midrange</u> :

  • (maximum - minimum) / 2

Midrange = (93 - 1) / 2

Midrange = 92/2 = 46

Therefore, the midrange is the value of the range divided by 2.

Learn more :

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