Answer Number 1 And 2 Statistical Material | Stanford University

University:
Stanford University
Course:
Introduction to Mathematical Thinking
Academic year:

2023
Views:

256

Pages:

2
Author:

MAlphen

1 (a) A farmer fed 15 new-born duck with a new variety of grain. The stem-and-leaf diagram shows the weight gains of the duck after three weeks. Key 37 | 8 (i) (ii) (iii) (iv) means 378 grams Find the median weight gain. Find the lower quartile Find the upper quartile Find the interquartile range. Calculate (b) the mean of the weight gain,(c)the standard deviation.17 Ducks fed on the standard variety of grain had weight gains after three weeks. The mean of these weight gains was 392 grams while the standard deviation was 12 grams. (d)State briefly how the new variety of grain compares to the standard variety. Ans: (i) 403 (ii) 390 (iii) 419 (iv) 29 (b) 405.2 (c) 17.1 (d) Ducks had more weight gainwhen fed with the new variety of grain. The weight gain from the new variety of grain shows more spread & less consistent results. 2 The table below shows the number of fishes kept by students. Number of fishes Number of students 0 1 2 3 4 10 12 𝑥 2 3 (a) If the mean is 1.25, find the value of 𝑥. (b) If the median is 1, find possible range of 𝑥 (c) If the mode is 1, find the highest possible value of 𝑥. Ans: 𝑥 = 5, (b) 0 ≤ 𝑥 ≤ 17 , (c) 11