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# Stat 1127 Exam 1 Study Guide STAT 1127

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This 6 page Study Guide was uploaded by Jessica Harbin on Friday September 2, 2016. The Study Guide belongs to STAT 1127 at Columbus State University taught by Jungmin Yun in Fall 2016. Since its upload, it has received 11 views.

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Date Created: 09/02/16

STAT1127 Intro Statistics Exam 1 Study Guide 1. The weights of 90 students in a school were recorded. The information is displayed in the following table. Weight (kg) Number of students 40 ≤ w < 50 7 50 ≤ w < 60 28 60 ≤ w < 70 35 70 ≤ w < 80 20 (a) Write down the mid interval value for the interval 50 ≤ w < 60. (b) Use your graphing calculator to find an estimate for (i) the mean weight; (ii) the standard deviation. (c) Find the weight that is 3 standard deviations below the mean. 2. In a mountain region there appears to be a relationship between the number of trees growing in the region and the depth of snow in winter. A set of 10 areas was chosen, and in each area the number of trees was counted and the depth of snow measured. The results are given in the table below. Number of trees (x) Depth of snow in cm (y) 45 30 75 50 66 40 27 25 44 30 28 5 60 35 35 20 73 45 47 25 (a) Use your graphic display calculator to find (i) the mean number of trees; (ii) the standard deviation of the number of trees; (iii) the mean depth of snow; (iv) the standard deviation of the depth of snow. 1 STAT1127 Intro Statistics Exam 1 Study Guide 3. There are 120 teachers in a school. Their ages are represented by the cumulative frequency graph below. 130 120 110 100 90 c 80 e q 70 f e 60 t u 50 m C 40 30 20 10 0 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 Age (a) Write down the median age. (b) Find the interquartile range for the ages. (c) Given that the youngest teacher is 21 years old and the oldest is 72 years old, represent the information on a box and whisker plot using the scale below. 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 Age 2 STAT1127 Intro Statistics Exam 1 Study Guide 4. The table below shows the number of words in the extended essays of an IB class. (a) Draw a histogram on the grid below for the data in this table. 20 15 y n u 10 e F 5 0 3000 3200 3400 3600 3800 4000 4200 4400 Number of words (b) Write down the modal group. 3 STAT1127 Intro Statistics Exam 1 Study Guide 5. A survey was conducted of the number of bedrooms in 208 randomly chosen houses. The results are shown in the following table. Number of bedrooms 1 2 3 4 5 6 Number of houses 41 60 52 32 15 8 (a) Write down the mean number of bedrooms per house. (b) Write down the standard deviation of the number of bedrooms per house. (c) Find how many houses have a number of bedrooms greater than one standard deviation above the mean. 6. The table shows the number of children in 50 families. Number of Frequency Cumulative children frequency 1 3 3 2 m 22 3 12 34 4 p q 5 5 48 6 2 50 T (a) Write down the value of T. (b) Find the values of m, p and q. Also, The Empirical Rules will include part of Exam 1. 4 STAT1127 Into Statistics Exam 1 Answer Document 1. (a) 55 (i) 62.6 (ii) 8.86 (c) 62.6 – 3 × 8.86 = 36.0 ( 2. (a) (i) 50 (ii) 16.8 (iii) 30.5 (iv) 12.3 3. (a) Median = 45 (b) 53 – 37 = 16 (c) 4. (a) (b) Modal group = 3800 w < 4000 1 STAT1127 Into Statistics Exam 1 Answer Document 3 (c) Probability = 35 5. (a) For attempting to find fx / f 2.73 (b) 1.34 (d) Attempt to find their mean + their standard deviation = 23, (ft) their mean and standard deviation. 6. (a) T = 50 (b) m = 19 (c) p = 9 (d) q = 43 2

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