jon is growing sugar crystals for his science fair project. he recorded how many days it took before he saw…

jon is growing sugar crystals for his science fair project. he recorded how many days it took before he saw crystals growing in each container. days before crystals grew number of days complete the sentences. the median of the data is _ days. the range is _ days. if the outlier in this distribution were removed, the _ would change. 3 ... 5 ... median 3 ... 5 ... range 4 ... 6 ... median 4 ... 6 ... range

jon is growing sugar crystals for his science fair project. he recorded how many days it took before he saw crystals growing in each container. days before crystals grew number of days complete the sentences. the median of the data is _ days. the range is _ days. if the outlier in this distribution were removed, the _ would change. 3 ... 5 ... median 3 ... 5 ... range 4 ... 6 ... median 4 ... 6 ... range

Answer

Answer:

4 ... 6 ... range

Explanation:

Step1: Find the number of data - points

There are 7 data - points: 2, 3, 4, 4, 5, 5, 8.

Step2: Calculate the median

Arrange data in ascending order: 2, 3, 4, 4, 5, 5, 8. Since (n = 7) (odd), the median is the (\left(\frac{n + 1}{2}\right))-th value. (\frac{7+1}{2}=4) - th value, which is 4.

Step3: Calculate the range

Range=Maximum value - Minimum value. Maximum value = 8, minimum value = 2. Range (=8 - 2=6).

Step4: Identify the outlier

The outlier is 8 as it is far from the other values.

Step5: Analyze the effect of removing the outlier

If 8 is removed, the new data - set is 2, 3, 4, 4, 5, 5. New range (=5 - 2 = 3). The median of the new data - set (with (n = 6), (\frac{6}{2}=3) - rd and (\frac{6}{2}+1 = 4) - th values are 4 and 4, so median is 4) remains the same. The range changes.