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The table shows the number of hours that a grouped of students spent studying for the SAT during their first week of preparation. The students each add 4 hours to their study times in the second week. What are the mean, median, mode, and range of times for the second week? Student Hours Bob 19 James 10 Karen 15 Rosario 17 Antoine 10 Julio 16 Maria 13

User Scalopus
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2 Answers

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I just did this same question, so heres the answer.

Mean-18.3
Median- 19
Mode- 14
Range-9
User Henrique Barros
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Answer: Mean = 18.30

Median= 19

Mode =14

Range = 9

Explanation:

The given table shows the number of hours that a grouped of students spent studying for the SAT during their first week of preparation.

Student Hours

Bob 19

James 10

Karen 15

Rosario 17

Antoine 10

Julio 16

Maria 13

After adding 4 hours, the table for the second week will be :-

Student Hours

Bob 23

James 14

Karen 19

Rosario 21

Antoine 14

Julio 20

Maria 17

Number of students n= 7

Now, according to the second week table,

Mode =14 hours

Mean=
(23+14+19+21+14+20+17)/(7)=18.2857142857\approx18.30

For median arrange the above table hours in ascending order,

14, 14, 17, 19, 20, 21, 23

Median=
(n+1)/(2)\\\\=(7+1)/(2)=4^(th)\ \text{term}=19

Range = Highest - lowest =23-14=9

User Wlindner
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