{49, 50, 45, 23, 35, 66, 34, 74, 54, 50}
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The mean is
The median is
The mode is
The range is
Suppose the value 60 is added to the data set.
The mean increases by
The median increases by
The mode is
The range is .
The mean is 47.6
The median is 49
The mode is 50
The range is 51
If 60 is added to the data set:
The mean increases by 5.6
The median increases by 1
The mode is 50
The range is 51
{49, 50, 45, 23, 35, 66, 34, 74, 54, 50}
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The mean is
The median is
The mode is
The range is
Suppose the value 60 is added to the data set.
The mean increases by
The median increases by
The mode is
The range is
0.50 50 49.5 unchanged 1.09 48 51
The mean is 47.6
The median is 49
The mode is 50
The range is 51
If 60 is added to the data set:
The mean increases by 5.6
The median increases by 1
The mode is 50
The range is 51
{49, 50, 45, 23, 35, 66, 34, 74, 54, 50}
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The mean is
The median is
The mode is
The range is
Suppose the value 60 is added to the data set.
The mean increases by
The median increases by
The mode is
The range is
Answers 0.50, 50, 49.5, unchanged, 1.09, 48 51
The mean is 47.6
The median is 49
The mode is 50
The range is 51
If 60 is added to the data set:
The mean increases by 5.6
The median increases by 1
The mode is 50
The range is 51
To find the mean, median, mode, and range of the given data set, follow these steps:
1. Mean: To calculate the mean, add up all the numbers in the data set and then divide the sum by the total number of values.
Mean = (49 + 50 + 45 + 23 + 35 + 66 + 34 + 74 + 54 + 50) / 10
2. Median: To find the median, arrange the numbers in ascending order and then find the middle number. If there are two middle numbers, find their average.
Arranging the numbers in ascending order: 23, 34, 35, 45, 49, 50, 50, 54, 66, 74
Median = (49 + 50) / 2
3. Mode: The mode is the number that appears most frequently in the data set. If no number is repeated, there is no mode.
Mode = No mode
4. Range: To find the range, subtract the smallest number in the data set from the largest number.
Range = 74 - 23
Now, suppose the value 60 is added to the data set.
5. Mean: To calculate the new mean, add up the new total of values and then divide it by the new total number of values.
New Mean = (49 + 50 + 45 + 23 + 35 + 66 + 34 + 74 + 54 + 50 + 60) / 11
6. Median: To find the new median, arrange the new numbers in ascending order and then find the middle number. If there are two middle numbers, find their average.
New Data Set: 23, 34, 35, 45, 49, 50, 50, 54, 60, 66, 74
New Median = 50
7. Mode: The mode remains the same since 60 is a new value and does not affect the mode.
Mode = No mode
8. Range: To find the new range, subtract the new smallest number in the data set from the new largest number.
New Range = 74 - 23
To summarize the results:
The mean is (Mean Value)
The median is (Median Value)
The mode is No mode
The range is (Range Value)
To find the mean of a data set, you need to calculate the average. The formula for the mean is the sum of all the numbers divided by the total number of values in the data set.
To find the median of a data set, you need to arrange the numbers in ascending order and then find the middle value. If there is an even number of values, the median is the average of the two middle values.
To find the mode of a data set, you need to identify the value that appears most frequently. A data set can have multiple modes if multiple values occur with the same maximum frequency, or it can have no mode if no value repeats.
To find the range of a data set, you need to subtract the smallest value from the largest value. The range represents the spread or variability of the data set.
Let's apply these principles to the given data set: {49, 50, 45, 23, 35, 66, 34, 74, 54, 50}
The mean can be found by summing up all the values and dividing by the total number of values:
(mean) = (sum of all values) / (total number of values)
Now, to find the median, we need to arrange the data set in ascending order:
{23, 34, 35, 45, 49, 50, 50, 54, 66, 74}
Since we have an even number of values (10 in total), the median is the average of the two middle values:
(median) = (50 + 49) / 2 = 99 / 2 = 49.5
To find the mode, we need to identify the value that appears most frequently. In this data set, the mode is 50 since it occurs twice, more than any other value.
The range is found by subtracting the smallest value (23) from the largest value (74):
(range) = (largest value) - (smallest value) = 74 - 23 = 51
Now, let's suppose the value 60 is added to the data set.
To find the new mean, we need to recalculate the average:
(new mean) = (sum of all values, including 60) / (total number of values + 1)
To find the new median, we need to arrange the updated data set in ascending order:
{23, 34, 35, 45, 49, 50, 50, 54, 60, 66, 74}
Now we have an odd number of values (11 in total), so the median is simply the middle value:
(new median) = 50
Since the value 60 appears once, it becomes the new mode.
The new range can be found by subtracting the smallest value (23) from the new largest value (74):
(new range) = (new largest value) - (smallest value) = 74 - 23 = 51
Therefore, if the value 60 is added to the data set, the mean remains the same, the median increases by 0.5, the mode becomes 60, and the range remains 51.