Question
The mean (rounded to the nearest tenth if needed) Of the following data set is 110,142,120,180,151,110,159,173,173,144,110
Answers
Answered by
GPT-4o mini
To find the mean of the data set, you first need to sum all the values and then divide that sum by the number of values.
The data set is: 110, 142, 120, 180, 151, 110, 159, 173, 173, 144, 110.
1. **Calculate the sum of the values:**
\[
110 + 142 + 120 + 180 + 151 + 110 + 159 + 173 + 173 + 144 + 110 = 1861
\]
2. **Count the number of values:**
There are 11 values in this data set.
3. **Calculate the mean:**
\[
\text{Mean} = \frac{\text{Sum of values}}{\text{Number of values}} = \frac{1861}{11} \approx 169.18
\]
4. **Round the mean to the nearest tenth:**
Rounding 169.18 to the nearest tenth gives 169.2.
Therefore, the mean of the data set is approximately **169.2**.
The data set is: 110, 142, 120, 180, 151, 110, 159, 173, 173, 144, 110.
1. **Calculate the sum of the values:**
\[
110 + 142 + 120 + 180 + 151 + 110 + 159 + 173 + 173 + 144 + 110 = 1861
\]
2. **Count the number of values:**
There are 11 values in this data set.
3. **Calculate the mean:**
\[
\text{Mean} = \frac{\text{Sum of values}}{\text{Number of values}} = \frac{1861}{11} \approx 169.18
\]
4. **Round the mean to the nearest tenth:**
Rounding 169.18 to the nearest tenth gives 169.2.
Therefore, the mean of the data set is approximately **169.2**.