Fifteen students are randomly selected from two different classes. They were asked how many books they read during the summer. Their responses are as follows. Find the median number of books read by each class. Which class has a higher median number of books read?
Class 1: 0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 5, 6, 4, 5, 6
Class 2: 2, 2, 4, 3, 0, 0, 6, 7, 10, 9, 6, 5, 3, 1, 2
First, we need to organize the data from least to greatest:
Class 1: 0, 1, 1, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 10
Class 2: 0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 10
To find the median, we need to find the middle value(s) of the data set. If there are an odd number of values, the median will be the middle value. If there are an even number of values, the median will be the average of the two middle values.
For Class 1, there are 15 values, so the median will be the 8th value: 5.
For Class 2, there are also 15 values, so the median will be the average of the 7th and 8th values: (3+4)/2 = 3.5.
Therefore, Class 1 has a higher median of books read with 5 compared to Class 2's median of 3.5.
The ages of randomly selected employees at two companies are recorded. Their ages are as follows.
Company A: 34, 28, 36, 27, 45, 44, 30, 42, 41, 40, 50, 48, 52, 45, 39, 38
Company B: 29, 32, 48, 51, 49, 37, 33, 35, 36, 40, 45, 48, 43, 43, 44, 48
Which of the following statements is true?
The mean age of employees from Company A is higher than the mean age of employees from Company B.
The median age of employees from Company A is lower than the median age of employees from Company B.
The range of ages of employees from Company A is higher than the range of ages of employees from Company B.
We can find the mean, median, and range for each company to determine which statement is true:
Company A:
Mean age = (34+28+36+27+45+44+30+42+41+40+50+48+52+45+39+38)/16 = 40.06
Median age = (38+39)/2 = 38.5
Range = 52-27 = 25
Company B:
Mean age = (29+32+48+51+49+37+33+35+36+40+45+48+43+43+44+48)/16 = 41.75
Median age = (40+43)/2 = 41.5
Range = 51-29 = 22
Therefore, the statement that is true is:
The mean age of employees from Company A is lower than the mean age of employees from Company B.
Maritza plays in a softball league. She wants to know about how many players in the league also play basketball. Because there are 225 players in the league, she chooses the names of 45 of the players and asks them whether they also play basketball. Describe the population and the sample. What is the size of the population, and what is the size of the sample?
The population is the complete group of individuals or items that we are interested in studying or collecting data on. In this case, the population is all of the players in the softball league.
The sample is the group of individuals or items that are actually included in the study or analysis. In this case, the sample is the 45 players that Maritza chose and asked about playing basketball.
The size of the population is 225 players, as stated in the problem.
The size of the sample is 45 players, as this is the number of individuals that Maritza chose and asked about playing basketball.
how much is 14/20 in percentage
To convert a fraction to a percentage, we need to multiply the fraction by 100%.
14/20 = 0.7
0.7 x 100% = 70%
Therefore, 14/20 as a percentage is 70%.