Answer:
Statements 1, 3, 4 and 6 are correct.
- The median number is 9
- The third quartile is 11
- The data is skewed left
- The lowest 25% of texts sent at lunch is between 0 and 6
Explanation:
Fifty eight students were surveyed about how frequently they text during lunch. The results are summarized below. Which statements are true about the data for the number of texts sent during lunch? Select all that apply.
Chart: (the numbers below are next to each other)
number of texts- 0,2,3,5,6,8,9,11,14
number of students-3,4,2,5,3,8,6,15,12
Box Plot:
lunch texts-0,6,9,11,14
The Choices:
1) The median number of texts sent is 9
2) The IQR for the data is 6
3) The third quartile is 11
4) The data is skewed to the left
5) The mean of the data will be greater than the median
6) The lowest 25% of texts sent at lunch is between 0 and 6
7) The middle 50% of texts sent at lunch is between 6 and 9
Taking the statements one by one
1) The median number of texts sent is 9
Since there are 58 variables, the median is the variable between the 29th and 30th number
Adding up the frequency of variables 3+4+2+5+3+8 = 25 + 6 = 31. Hence, the 29th and 30th variables are 9 texts. So median is truly 9 texts. This statement is true.
2) The IQR for the data is 6
IQR = Q3 - Q1
Q3 = 75 percentile variable = 43.5th variable = 11 texts
Q1 = 25th percentile = 14.5th variable = (5+6)/2 = 5.5 texts
IQR = 11 - 5.5 = 5.5
This statement is not true.
3) The third quartile is 11
Q3 = 75 percentile variable = 43.5th variable = 11 texts
True!
4) The data is skewed to the left
A data skewed to the left has more of its variables on the right hand side of the distribution.
This statement is true for this question.
5) The mean of the data will be greater than the median
For a data skewed to the left, the median is greater than the mean. Hence, this statement is wrong.
6) The lowest 25% of texts sent at lunch is between 0 and 6
Q1 = 25th percentile = 14.5th variable = (5+6)/2 = 5.5 texts
True!
7) The middle 50% of texts sent at lunch is between 6 and 9
Hope this Helps!!!