1. For each of the following sets of data find:
(i) the median
(ii) the lower quartile
(iii) the upper quartile
(iv) the interquartile range
(v) the range
(vi) the mean (use calculator)
(vii) standard deviation (use calculator)a. 4, 4, 6, 7, 8, 10, 12, 18, 20, 26, 28
b. $2.48, $8.79, $6.20, $10.60, $6.04, $12.49
c. 4.4, 8.6, 6.2, 8.6, 2.6, 7.8, 6.2
d. 84, 24, 68, 44, 62, 87, 98, 48, 42, 86, 48, 62, 46
e. 0.48 km, 624 m, 8200 cm, 686 m 628 000 mm, 0.4 km, 6100 cm
2. For the following set of data find the find the 20th and 70th percentiles.
1, 3, 5, 6, 7, 8, 8, 12, 14, 16, 20, 25, 27, 29, 30, 39, 41, 46, 49, 50, 51, 54, 57, 60, 65
3. Find the mean of 4, 6, 7, 9, 10, 12 and complete the table below to help to find the standard deviation.
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x
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x −
 |
(x −
)2 |
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4
|
||
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6
|
||
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7
|
||
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9
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||
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10
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||
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12
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||
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Total Σ(x −
)2 = |
4. Find the mean and standard deviation of the following frequency distribution. Complete the table to assist your calculation.
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x
|
f
|
x −
|
(x −
)2 |
f(x −
)2 |
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4
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1
|
|||
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5
|
4
|
|||
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6
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9
|
|||
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7
|
6
|
|||
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8
|
0
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|||
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Σ
|
