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.
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 36.0 minutes.
The mean time Group B spent shopping is 33.4 minutes.
The mean times Group A and Group B spent shopping differ by 2.6 minutes.
Bot how do you slove to get mean time?
To find the mean time, you need to add up all the times and divide the total by the number of values. Here are the steps to find the mean:
1. Add up all the times for each group. For Group A, add 18+20+46+34+58+31+41 = 248. For Group B, add 15+21+32+42+29+57+39 = 235.
2. Count the number of values in each group. Group A has 7 values, and Group B has 7 values.
3. Divide the total time by the number of values. For Group A, 248/7 = 35.4 minutes. For Group B, 235/7 = 33.4 minutes.
Therefore, the mean time for Group A is 35.4 minutes, and the mean time for Group B is 33.4 minutes.
Which data set has the highest median?
a {11, 15, 16, 8, 12, 14}
b {8, 20, 13, 14, 12, 9}
c {1, 6, 15, 7, 15, 18, 14}
d {1, 10, 8, 29, 14, 17, 3}
To find the median, we need to put the values in order from smallest to largest and find the middle value(s). If there are an odd number of values, the median is the middle value. If there are an even number of values, we take the mean of the middle two values.
a) {11, 15, 16, 8, 12, 14}: the values in order are {8, 11, 12, 14, 15, 16}. The median is 14.
b) {8, 20, 13, 14, 12, 9}: the values in order are {8, 9, 12, 13, 14, 20}. The median is 13.5 (the average of 13 and 14).
c) {1, 6, 15, 7, 15, 18, 14}: the values in order are {1, 6, 7, 14, 15, 15, 18}. The median is 15.
d) {1, 10, 8, 29, 14, 17, 3}: the values in order are {1, 3, 8, 10, 14, 17, 29}. The median is 10.
Therefore, the data set with the highest median is a) {11, 15, 16, 8, 12, 14}, with a median of 14.
Do you mean c with a median of 15?
Yes, you are correct. I apologize for the mistake in my previous response. The data set c {1, 6, 15, 7, 15, 18, 14} has a median of 15, which is the highest among all the given data sets.
Value per House Number of Houses
$150,000 2
$220,000 4
$490,000 3
$540,000 2
$800,000 5
$975,000 2
The values of several houses on Mango Street are displayed on the table. What is the median value of these houses?
We need to find the median value of the houses, which is the middle value when the values are arranged in order from smallest to largest. Here are the steps to find the median:
1. Put the values in order from smallest to largest: $150,000, $220,000, $490,000, $540,000, $800,000, $800,000, $800,000, $800,000, $800,000, $975,000.
2. Count the number of values. We have 10 values.
3. Find the middle value(s). Since we have an even number of values, we need to take the average of the two middle values: the 5th and 6th values.
Median = ($540,000 + $800,000) / 2 = $670,000
Therefore, the median value of the houses on Mango Street is $670,000.
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?
A Dana: 68, 74, 83, 80, 81, 82
B Ara: 100, 98, 99, 97, 100, 100
C Jose: 91, 93, 97, 96, 96, 96
D Theo: 84, 88, 81, 85, 77, 76