This report explores numeracy and data analysis techniques, including representing data in tables and graphs, calculating descriptive statistics, and using linear forecasting models. It covers topics such as mean, median, mode, range, and standard deviation. The report also predicts phone call values for future days.
Contribute Materials
Your contribution can guide someone’s learning journey. Share your
documents today.
Numeracy and Data Analysis
Secure Best Marks with AI Grader
Need help grading? Try our AI Grader for instant feedback on your assignments.
Table of Content INTRODUCTION..........................................................................................................................3 1. Representing the data set in form of table..............................................................................3 2. Plotting the data on graph........................................................................................................3 3. Presenting descriptive statistics table.....................................................................................4 4. Predicting value for 12 & 14th day by making use of linear forecasting model.....................8 CONCLUSION.............................................................................................................................10 REFERENCES.............................................................................................................................11
INTRODUCTION The analysis of the numbers and the datameans as applying the statistical tool for analyzing the data in an effective manner which is been expressed in terms of numbers. The present report highlights the data relating to the number ofcalls which is being madein thepast 10 consecutive days. Moreover, it presents the computation of descriptive values through an application of the statistical techniques. 1. Representing the data set in form of table Serial. No.Date Phone calls per day 120/08/015 220/08/024 320/08/036 420/08/048 520/08/054 620/08/069 720/08/0710 820/08/087 920/08/096 1020/08/104 2. Plotting the data on graph Column chart
1st August 2020 2nd August 2020 3rd August 2020 4th August 2020 5th August 2020 6th August 2020 7th August 2020 8th August 2020 9th August 2020 10th August 2020 0 2 4 6 8 10 12 5 4 6 8 4 9 10 7 6 4 phone calls per day Line graph 3. Presenting descriptive statistics table a. Mean value
Paraphrase This Document
Need a fresh take? Get an instant paraphrase of this document with our AI Paraphraser
Date (august 2020) phone calls per day 15 24 36 48 54 69 710 87 96 104 Sum phone calls63 No. of observation10 Mean6.3 Interpretation- Thetable given aboveshows evaluation of mean value that accounted as 6.3 which mean that an average value of the phone calls made are reflected as 6.3.The value has been derived by dividing the total phone calls with the number of observations. b. Median value Step 1- Arranging the data in the ascending order Sr. No.Date phone calls per day 102/08/204 205/08/204 310/08/204 401/08/205 503/08/206 609/08/206 708/08/207 804/08/208 906/08/209 1007/08/2010 Step 2-Determiningvalue by applyingthe formula(n+1)/2
No. of observation10 M=(10+1)/25.5 M=(6+6)/26 Interpretation- The assessmenthighlights that thevalue of median attainedis6 which is calculated byrearranging the givendata set in ascending form andafter thatapplying the formulawhichis (n+1)/2 (Mishra and et.al, 2019). As the value of nderived is5.5,so the average of 5thand 6th observationwill be undertakenthat equates to 6. This how the median value calculated and is counted as the mid-value of data set. c. Mode value Date phone calls per day 01/08/205 02/08/204 03/08/20 6 04/08/208 05/08/20 4 06/08/209 07/08/20 10 08/08/207 09/08/20 6 10/08/204 Mode =4 Interpretation- Thefigureof mode accounted as 4 which reflects thehigher timesthe phone calls are been repeated with the data (Kaur, Stoltzfus, and Yellapu, 2018). Therefore, the researcher has observed that 4 times the phone calls are made repeatedly. d. Range
ParticularsFormula Amou nt Maximum10 Minimum4 Range Highervalue-Smaller value6 Interpretation- The table depicts thatthe determination of range which is6 which is determined byreducingthe smallest numberwhichis 4 from the largest number as 10. This shows the number of phone calls lies between minimum and maximum value. e. Standard deviation Date phone calls per dayX^2 20/08/01525 20/08/02416 20/08/03636 20/08/04864 20/08/05416 20/08/06981 20/08/0710100 20/08/08749 20/08/09636 20/08/10416 Total63439 Standard deviation= Square root of∑x^2 / N – (∑x / n) ^ 2 =SQRT of (439/ 10) – (63/ 10) ^ 2 = SQRT of 43.9 – 39.69 = SQRT of 4.21 = 2.05 Interpretation- The analysis reflects the standard deviation accounted as 2.05 by applying the formula and computing square root of the value that is 4.21 (Wasserman and et.al, 2017). This shows the value that is dispersed from the mean. 4. Predicting value for 12 & 14thday by making use of linear forecasting model DateXphoneX*YX^2
Secure Best Marks with AI Grader
Need help grading? Try our AI Grader for instant feedback on your assignments.
calls per day 1st August 20201551 2nd August 20202484 3rd August 202036189 4th August 2020483216 5th August 2020542025 6th August 2020695436 7th August 20207107049 8th August 2020875664 9th August 2020965481 10th August 202010440100 Total55633573025 1. Computing value of m m = NΣxy – Σx Σy / NΣ x^2 – (Σx)^2 Y = mX + c m = 10 (357) - (55 * 63) / (10 * 3025) – (55)^2 m = (3570 – 3465) / (30250 – 3025) m = 105 / 27225 m = 0.0038 2. Calculating value of c c = Σy – m Σx / N c = 63 – (0.003 * 55) / 10
c = (63 – 0.165) / 10 c = 62.835 / 10 c = 6.28 3. Forecast for 12thand 14thday Computing value of Y by making use of m and c value For 12th day- Y = mX + c = 0.003(12) + (6.28) = 0.036 + 6.28 =6.316 For 14th day - Y = mX + c = 0.003(14) + (6.28) = 0.042 + 6.28 =6.322 Interpretation- The above results indicate that the value of m resulted as 0.003 by using the equationbywhich the c valueisequated as 6.28. Byutilizingthefiguresof c and m, forecast for the coming days is been made through an equation that is y= mX + c (Liu, Gu and Peng, 2017). Therefore, it has been observed that for 12thday around 6.316 phone calls are estimated and for 14thday approx 6.322 phone calls are anticipated. CONCLUSION From the above report it has been summarized that descriptive values helps in analyzing the average, mid and repeated value for which the phone calls would be made. Moreover, it also helps in predicting the number of time the phone calls will be made for the 12thand 14thday.
REFERENCES Books and journal Kaur, P., Stoltzfus, J. and Yellapu, V., 2018. Descriptive statistics.International Journal of Academic Medicine.4(1). p.60. Liu, S., Gu, S. and Peng, J., 2017. Self-adaptive processing and forecasting algorithm for univariate linear time series.Chinese Journal of Electronics.26(6). pp.1147-1153. Mishra, P. and et.al, 2019. Descriptive statistics and normality tests for statistical data.Annals of cardiac anaesthesia.22(1). p.67. Wasserman, N. H. and et.al, 2017. Statistics as unbiased estimators: exploring the teaching of standard deviation.Research in Mathematics Education.19(3). pp.236-256.