Question

here are some statistics given by a spreadsheet program:
· n: 100
· mean: 51.68
· σ: 29.2957
· s: 29.4433
· σx: 5168
· σx²: 352906
· min: 1
· q1: 23
· median: 51
· q3: 77
· max: 105

1. what are the mean and median for the data?
2. how many values are in the data set?
3. what is the interquartile range for the data? explain or show your reasoning.

Explanation:

Step1: Identify mean and median

The mean is given as 51.68 and the median as 51.

Step2: Identify number of values

The value of $n$ represents the number of values in the data - set, and $n = 100$.

Step3: Calculate inter - quartile range

The inter - quartile range (IQR) is calculated as $IQR=Q3 - Q1$. Given $Q1 = 23$ and $Q3 = 77$, then $IQR=77 - 23=54$.

Answer:

1. Mean: 51.68, Median: 51
2. 100
3. 54