The low temperatures during one week in January were 2° , −3° , −9° , −11° , 1° , −8° , and −9° . What was the median low temperature that week
To find the median low temperature, we first need to arrange the temperatures in ascending order:
-11°, -9°, -9°, -8°, -3°, 1°, 2°
Since there is an odd number of temperatures (7), the median is the middle temperature, which is -8°.
Therefore, the median low temperature that week was -8°.
The stem-and-leaf plot shows the ages of a group of friends. Find the median age.
Stem Leaf
2 8
3 1 2 4
4 2 7 9
5 4
Key: 2|8=28 years
To find the median age from the stem-and-leaf plot, we first need to list all the individual ages:
28, 31, 32, 34, 42, 47, 49, 54
Next, we need to arrange these ages in ascending order:
28, 31, 32, 34, 42, 47, 49, 54
Since there is an even number of ages (8), the median will be the average of the two middle ages. In this case, the two middle ages are 34 and 42.
Calculating the average of 34 and 42:
(34 + 42) / 2 = 38
Therefore, the median age of the group of friends is 38 years.
Here are the math test scores of 10 randomly selected students from Class 1 and Class 2.
Class 1: 75 80 84 79 92 86 88 86 86 90
Class 2: 83 85 91 93 72 85 76 80 82 89
Find the mean score of each sample. Based on the mean, which class generally performed better on the math test?
To find the mean score of each sample, we first need to calculate the sum of each class's test scores and then divide by the number of students in the class.
For Class 1:
Sum of scores = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 866
Number of students = 10
Mean score for Class 1 = 866 / 10 = 86.6
For Class 2:
Sum of scores = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 846
Number of students = 10
Mean score for Class 2 = 846 / 10 = 84.6
Therefore, Class 1 had a mean score of 86.6 while Class 2 had a mean score of 84.6. Based on the means, Class 1 generally performed better on the math test as they had a higher mean score compared to Class 2.
For people: the real answer is 84.6 and 83.6
Kat and Joshua want to know which pizza shop has the fastest delivery time. Kat took a random sample of 8 delivery times from pizza shop 1 over a period of six months. Joshua did the same for pizza shop 2. The delivery times (in minutes) for each pizza shop are shown in the following table.
Pizza Shop 1 Pizza Shop 2
18 20
23 17
15 16
22 38
21 21
24 20
28 18
20 25
Find the median delivery time for each pizza shop. Based on the median, which pizza shop has the fastest delivery time?
To find the median delivery time for each pizza shop, we first need to list all the delivery times individually and then arrange them in ascending order:
For Pizza Shop 1:
15, 18, 20, 21, 22, 23, 24, 28
The median for Pizza Shop 1 is the middle value, which is 21.
For Pizza Shop 2:
16, 17, 18, 20, 20, 25, 38
The median for Pizza Shop 2 is the middle value, which is 20.
Therefore, based on the median delivery times, Pizza Shop 1 has the fastest delivery time with a median delivery time of 21 minutes, while Pizza Shop 2 has a median delivery time of 20 minutes.
What is the median between these numbers; 18 23 15 22 21 24 28 20
To find the median of this set of numbers, we first need to arrange them in ascending order:
15, 18, 20, 21, 22, 23, 24, 28
Since there are 8 numbers in the set, which is an even number, the median will be the average of the two middle numbers. In this case, the two middle numbers are 21 and 22.
Calculating the average of 21 and 22:
(21 + 22) / 2 = 21.5
Therefore, the median of the given set of numbers is 21.5.