A hotel maintenance crew wants to estimate how many of the 12,000 lamps in their 30-story hotel need a new light bulb. Which of the following is a random sample of lamps to be inspected?
all lamps from the rooms with king-sized beds
all lamps in booked rooms
100 lamps on each floor chosen randomly
400 lamps on the first 10 floors
100 lamps on each floor chosen randomly
A local library manager randomly surveys 80 patrons about the type of book they borrow when they visit the library. The manager finds that 3 patrons borrow novels. If the local library has 345 patrons, approximately how many of them borrow novels when they visit the library? Round your answer to the nearest whole number.
To estimate the number of patrons who borrow novels, we can use the ratio of patrons who borrowed novels in the sample to the total sample size and apply it to the total number of patrons:
3 / 80 = x / 345
Solving for x:
x = 3 * 345 / 80
x ≈ 12
Approximately 12 patrons borrow novels when they visit the library.
Use the table to answer the question.
Group A 18 20 46 34 58 31 41
Group B 15 21 32 42 29 57 39The table shows the times, in minutes, spent shopping by two different groups. First find the mean times each group spent shopping. Then determine the difference in the mean times. Round your answers to one decimal place.(2 points)
The mean time Group A spent shopping is
minutes.
The mean time Group B spent shopping is
minutes.
The mean times Group A and Group B spent shopping differ by
minutes.
The mean time Group A spent shopping is:
(18 + 20 + 46 + 34 + 58 + 31 + 41) / 7 = 32.9 minutes (rounded to one decimal place)
The mean time Group B spent shopping is:
(15 + 21 + 32 + 42 + 29 + 57 + 39) / 7 = 33.7 minutes (rounded to one decimal place)
The mean times Group A and Group B spent shopping differ by:
33.7 - 32.9 = 0.8 minutes (rounded to one decimal place)
Which data set has the highest median?(1 point)
Responses
{8, 20, 13, 14, 12, 9}
, left brace 8 comma 20 comma 13 comma 14 comma 12 comma 9 right brace
{11, 15, 16, 8, 12, 14}
, left brace 11 comma 15 comma 16 comma 8 comma 12 comma 14 right brace
{1, 10, 8, 29, 14, 17, 3}
, left brace 1 comma 10 comma 8 comma 29 comma 14 comma 17 comma 3 right brace
{1, 6, 15, 7, 15, 18, 14}
left brace 1 comma 6 comma 15 comma 7 comma 15 comma 18 comma 14 right brace
{11, 15, 16, 8, 12, 14} , left brace 11 comma 15 comma 16 comma 8 comma 12 comma 14 right brace
To find the median of a data set, we arrange the values in order from least to greatest and find the middle value. If the data set has an even number of values, we take the average of the two middle values.
For the first data set, when we arrange the values in order, we get:
{8, 9, 12, 13, 14, 20}
The median is the middle value, which is 13.
For the second data set:
{8, 11, 12, 14, 15, 16}
The median is the average of the two middle values, which is (12+14)/2 = 13.
For the third data set:
{1, 3, 8, 10, 14, 17, 29}
The median is the middle value, which is 10.
For the fourth data set:
{1, 6, 7, 14, 15, 15, 18}
The median is also the average of the two middle values, which is (14+15)/2 = 14.5.
Therefore, the data set {11, 15, 16, 8, 12, 14} has the highest median, which is 13.
Use the table to answer the question.
Value per House Number of Houses
$150,000 2
$220,000 4
$490,000 3
$540,000 2
$800,000 5
$975,000 2The values of several houses on Mango Street are displayed on the table. What is the median value of these houses?
To find the median value of the houses:
1. Arrange the values in order from least to greatest (or greatest to least).
2. Count the total number of houses.
3. If the number of houses is odd, the median value is the value that is exactly in the middle.
4. If the number of houses is even, the median value is the average of the two middle values.
First, we can list the values and their frequencies in order from least to greatest:
$150,000, $150,000, $220,000, $220,000, $220,000, $220,000, $490,000, $490,000, $490,000, $540,000, $540,000, $800,000, $800,000, $800,000, $800,000, $800,000, $975,000, $975,000
There are 18 houses in total, which is an even number, so we need to find the average of the two middle values. The two middle values are $490,000 and $540,000, so the median of the house values on Mango Street is:
($490,000 + $540,000) / 2 = $515,000
Therefore, the median value of the houses on Mango Street is $515,000.
Theo, Ara, Jose, and Dana all got 100 percent on their latest math test. Their scores on the previous six tests are listed. Whose mean test score will increase the most? (1 point)
Responses
Jose: 91, 93, 97, 96, 96, 96
Jose: 91, 93, 97, 96, 96, 96
Dana: 68, 74, 83, 80, 81, 82
Dana: 68, 74, 83, 80, 81, 82
Ara: 100, 98, 99, 97, 100, 100
Ara: 100, 98, 99, 97, 100, 100
Theo: 84, 88, 81, 85, 77, 76