Question

The following data set consists the number of minutes a sample of 25 people run every week.

108    139    120    123    120    132    123    131    131    157    150    124    119

119    116    117    127    128    139    118    114    127    111    101    135

1. Make a frequency distribution of the data set using five classes. Include class limits, midpoints, frequencies, boundaries.

2. Display the data using a frequency histogram.

3.Approximate the sample mean, sample variance , and standard deviation.

Answer 1

1)Frequency Distribution Table

Class Limit	Class Boundaries	Midpoint	Frequencies
101-112	100.5-112.5	106.5	3
113-124	112.5-124.5	118.5	11
125-136	124.5-136.5	130.5	7
137-148	136.5-148.5	142.5	2
149-160	148.5-160.5	154.5	2

2)Histogram

3) Sample Mean, Sample Variance and Standard Deviation

Sample Mean	125
Sample Variance	158
Standerd Deviation	13