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13.05.2021 •
Mathematics
Trudy has been training for an upcoming marathon. She has kept track of how many miles she runs every day for the past two weeks:
12, 15, 7, 14, 12, 3, 16, 15, 19, 20, 12, 9, 18, and 21.
a. Calculate the mean and median for this data.
Mean:
Median
b. Calculate the Quartile 1 (Q1)
Quartile 2 (Q2)
d. What is the IQR (Interquartile Range):
Solved
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Ответ:
Kindly check explanation
Step-by-step explanation:
Given the data:
12, 15, 7, 14, 12, 3, 16, 15, 19, 20, 12, 9, 18, 21
Reordering the data:
3, 7, 9, 12, 12, 12, 14, 15, 15, 16, 18, 19, 20, 21
Mean = Σx / n = 193 / 14 = 13.76
The Median :
1/2(n+1)th term
15/2 = 7.5th term
(14 + 15) / 2 = 14.5
First quartile (Q1) :
1/4(n+1)th term
15/4 = 3.75th term
= 12
Q3 :
3/4(15)th term = 11.25 th term
Q3 = 18
Interquartile range = Q3 - Q1
Interquartile range = 18 - 12 = 6
Ответ:
Chance of getting number greater than 4 on one roll:
Either getting a 5 or 6
2/6 probability
2/6 = 1/3
If we roll the cube 12 times, the probability of getting a number greater than 4 is 1/3 of the time
12 * 1/3 = 4
She is expected to get a number greater than 4, 4 times