Question

The points scored in basketball by Jaiden during her last 9 games:
20, 21, 18, 22, 13, 15, 20, 19, 23
Find the mean, median, mode and range for this set of data.
Select the correct response:
Mean = 20, Median = 19, Mode = 21, Range = 9
Mean 21, Median = 18, Mode = 20, Range = 11
Mean 19, Median = 20, Mode = 20, Range = 10
=
Mean = 18, Median = 21, Mode = 21, Range = 8

Answer 1

Sure! Let's go through the step-by-step solution for finding the mean, median, mode, and range of the points Jaiden scored in her last 9 basketball games. The points are:

20, 21, 18, 22, 13, 15, 20, 19, 23

1. Mean:
The mean is the average of all the numbers. To find it, sum all the points and divide by the number of games.

$\[ \text{Mean} = \frac{20 + 21 + 18 + 22 + 13 + 15 + 20 + 19 + 23}{9} \]$

Performing the addition:

$\[ 20 + 21 + 18 + 22 + 13 + 15 + 20 + 19 + 23 = 171 \]$

Now, divide by the number of games:

$\[ \text{Mean} = \frac{171}{9} = 19.0 \]$

2. Median:
The median is the middle value when the numbers are sorted in ascending order. First, arrange the points in ascending order:

$\[ 13, 15, 18, 19, 20, 20, 21, 22, 23 \]$

Since there are 9 values (an odd number), the median is the middle one, which is the 5th value in the sorted list:

$\[ \text{Median} = 20 \]$

3. Mode:
The mode is the number that appears most frequently. Checking the points, we see that 20 appears twice while all other numbers appear only once:

$\[ \text{Mode} = 20 \]$

4. Range:
The range is the difference between the highest and lowest values. First, identify the highest and lowest points:

Highest value = 23
Lowest value = 13

Now, calculate the range:

$\[ \text{Range} = 23 - 13 = 10 \]$

Therefore, the correct response, given these calculations, is:

Mean = 19, Median = 20, Mode = 20, Range = 10

So, the correct answer from the given options is:
```
Mean 19, Median = 20, Mode = 20, Range = 10
```