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Standard Deviation

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Question 10
38%

This table gives information about the distance, d d\,d km, travelled by each of 136 people to go to a music concert.

Distance (d d\,d km)Number of people (fff)
40<d≤4540 < d \leq 4540<d≤456
45<d≤5045 < d \leq 5045<d≤5019
50<d≤6050 < d \leq 6050<d≤6053
60<d≤7060 < d \leq 7060<d≤7037
70<d≤9070 < d \leq 9070<d≤9015
90<d≤15090 < d \leq 15090<d≤1506
a.

Calculate an estimate for the mean distance.

[3]
b.

Calculate an estimate for the standard deviation of the distances. Give your answer correct to 2 decimal places. You may use ∑fd2=552,756.25\sum fd^2 = 552,756.25∑fd2=552,756.25.

[2]

Standard Deviation Questions

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