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2 Math Liberal

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Mathematics

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Solution

Option A

Bin

Frequ ency

Relative

Frequency

70-74 2 6.67%

75-79 1 3.33%

80-84 2 6.67%

85-89 3 10.00%

90-94 5 16.67%

95-99 6 20.00%

100-104 7 23.33%

105-109 4 13.33%

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Solution

(a) 𝑴𝒆𝒂𝒏 = 𝟕𝟑.𝟗

(b) 𝑴𝒆𝒅𝒊𝒂𝒏 = 𝟏𝟔.𝟓

(c) 𝑴𝒐𝒅𝒆 = 𝟎

Solution

(a) 𝑴𝒆𝒂𝒏 𝒐𝒇 𝒔𝒂𝒎𝒑𝒍𝒆 = 𝟒𝟗.𝟐𝟎

(b) 𝑺𝒕𝒂𝒏𝒅𝒂𝒓𝒅 𝒅𝒆𝒗𝒊𝒂𝒕𝒊𝒐𝒏 𝒐𝒇 𝒔𝒂𝒎𝒑𝒍𝒆 = 𝟏𝟏.𝟒𝟎

(c) 𝑴𝒆𝒂𝒏 𝒐𝒇 𝒏𝒆𝒘 𝒅𝒂𝒕𝒂 𝒔𝒂𝒎𝒑𝒍𝒆 = 𝟗𝟖

(d) 𝑺𝒕𝒂𝒏𝒅𝒂𝒓𝒅 𝒅𝒆𝒗𝒊𝒂𝒕𝒊𝒐𝒏 𝒐𝒇 𝒏𝒆𝒘 𝒅𝒂𝒕𝒂 𝒔𝒂𝒎𝒑𝒍𝒆 = 𝟐𝟐.𝟖𝟎

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Solution Option A Bin Frequency 70-74 75-79 80-84 85-89 90-94 95-99 100-104 105-109 2 1 2 3 5 6 7 4 Relative Frequency 6.67% 3.33% 6.67% 10.00% 16.67% 20.00% 23.33% 13.33% Solution (a) 𝑴𝒆𝒂𝒏 = 𝟕𝟑. 𝟗 (b) 𝑴𝒆𝒅𝒊𝒂𝒏 = 𝟏𝟔. 𝟓 (c) 𝑴𝒐𝒅𝒆 = 𝟎 Solution (a) 𝑴𝒆𝒂𝒏 𝒐𝒇 𝒔𝒂𝒎𝒑𝒍𝒆 = 𝟒𝟗. 𝟐𝟎 (b) 𝑺𝒕𝒂𝒏𝒅𝒂𝒓𝒅 𝒅𝒆𝒗𝒊𝒂𝒕𝒊𝒐𝒏 𝒐𝒇 𝒔𝒂𝒎𝒑𝒍𝒆 = 𝟏𝟏. 𝟒𝟎 (c) 𝑴𝒆𝒂𝒏 𝒐𝒇 𝒏𝒆𝒘 𝒅𝒂𝒕𝒂 𝒔𝒂𝒎𝒑𝒍𝒆 = 𝟗𝟖 (d) 𝑺𝒕𝒂𝒏𝒅𝒂𝒓𝒅 𝒅𝒆𝒗𝒊𝒂𝒕𝒊𝒐𝒏 𝒐𝒇 𝒏𝒆𝒘 𝒅𝒂𝒕𝒂 𝒔𝒂𝒎𝒑𝒍𝒆 = 𝟐𝟐. 𝟖𝟎 Solution (a) 𝑴𝒆𝒂𝒏 = 𝟒. 𝟗 (b) 𝑴𝒆𝒅𝒊𝒂𝒏 = 𝟒. 𝟔 (c) 𝑴𝒐𝒅𝒆 = 𝟒. 𝟓 𝒂𝒏𝒅 𝟕. 𝟕 Solution (a) 𝑴𝒆𝒂𝒏 𝑺𝒂𝒍𝒂𝒓𝒚 𝒐𝒇 𝑬𝒎𝒑𝒍𝒐𝒚𝒆𝒆𝒔 = $𝟐𝟗𝟐𝟎𝟎 Solution (a) 𝑴𝒆𝒂𝒏 𝑺𝒂𝒍𝒂𝒓𝒚 𝒐𝒇 𝑬𝒎𝒑𝒍𝒐𝒚𝒆𝒆𝒔 = $𝟐𝟖𝟐𝟎𝟎 Solution (a) 𝐴𝑡 𝑙𝑒𝑎𝑠𝑡 𝟏 𝑜𝑓 𝑎𝑙𝑙 𝑡ℎ𝑒 𝑛𝑢𝑚𝑏𝑒𝑟𝑠 𝑚𝑢𝑠𝑡 𝑙𝑖𝑒 𝑏𝑒𝑡𝑤𝑒𝑒𝑛 70 𝑎𝑛𝑑 110 Answer could be 1 or 100%. Try 1 first, if not correct, put 100% Solution Of the numbers in the distribution, the fraction that is less than ...
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