Question

3             Using your TI-83/4, calculate the (a) minimum, (b) lower quartile (Q1), (c) median, (d) upper quartile (Q3) and (e) maximum of the following data (n = 25; Sx = 260). (p 89)

2   3 15 10 11 7 19 12 -3 14 6 2 14 12 22 2 16 22 9 5 0 13 13 16 18

                                                                                                                                                     

4             Using your TI-83/4, sketch a histogram of the following data (n = 25; Sx = 1327) and calculate the (a) mean, (b) median, (c) mode and (d) sample standard deviation. (e) How would you describe the shape of the histogram? (pp 56, 58, 89)

               48 59 31 34 35 37 41 46 42 45 47 49 51 52 52 60 61 67 77 75 55 83 53 56 71

                                                                                                                                                               

5 5. A sample of five birth weights at a hospital yielded the following values/oz: 122 137 144 98 119

               (a,b) What was the mean birth weight? (c,d) What was the sample standard deviation? (e,f) What was the sample variance?   (g,h) What was the sample size? (Numerical values and units.) (pp 89; to calculate the variance use LIST ® MATH ® 8 and List #)                                                        8

Answer 1

Solution:-

5)

a, b) The mean birth weight is 124 oz.

c, d ) The sample standard deviation is 17.847oz.

$\sigma = \sqrt{\frac{\sum \left ( x-\mu \right )^{2}}{(n-1)}}$

$\sigma = \sqrt{\frac{1274}{(5-1)}}$

$\sigma = 17.847$

e, f) The sample variance is 318.5oz.

$\sigma ^{2} = \frac{\sum \left ( x-\mu \right )^{2}}{(n-1)}$

$\sigma ^{2} = \frac{1274}{5-1}$

$\sigma ^{2} = 318.5$

g, h) The sample size is 5.