Part 1- Mutual Funds (Measures of Center and Spread, Boxplots) (Questions 1-7) The values of individual stocks in the stock market can vary wildly. For that reason, investors usually purchase more than one kind of stock to balance out their risk. Some people are comfortable choosing their own blend of stocks. Other people prefer to invest in pre-bundled combinations of individual stocks called mutual funds. In this portion of the project, you will look at two mutual funds, each identified by its stock exchange abbreviation: LEXCX (composed of 22 stocks) and DIA (composed of 30 stocks). LEXCX Mutual Fund The dataset on the left displays the stock symbol and dollar value of each of the 22 stocks in the LEXCX mutual fund on May 15, 2019. For your convenience, the stocks are numbered in the order of their ascending value on this day. 1. Use the dataset to complete the EXACT five-number summary of the # Stock Dollar Value dollar values of the LEXCX mutual fund. Do not round your results GE 1.52 even if they go beyond two decimal places. For any calculated values, NJ MRO 12.10 show your work in the table along with your answer. VIAB 23.06 4 CTVA 25.48 un NI 26.50 T 38.57 Minimum FL 39.50 CO CMCSA 44.56 (2 pt) CBS 45.70 LO DOW 54.86 1st Quartile (Q1) 11 MPC 63.06 (3 pt) 12 FBHS 64.69 13 DD 67.64 Median 14 XOM 69.19 15 AEE 76.62 (3 pt) 16 87.73 3rd Quartile (Q3) 17 CVX 120.54 18 PC 120.64 (3 pt) 19 HON 176.27 20 UNP 181.75 Maximum 21 LIN 209.71 (2 pt) 22 BRK-B 219.74DIA Mutual Fund DIA Mutual Fund Minimum First Quartile Median Third Quartile Maximum (Q1) (Q3) DIA (a) 6.22 68.23 141.29 168.37 345.56 The average dollar values of the 30 stocks in the DIA mutual fund on April 15, 2019 are summarized below. Answer the following about the DIA mutual fund by referring to the five-number summary and boxplot. If calculations are required, show your work and round results to two decimal places. Use correct units throughout. 2. What is the range in individual stock prices within this mutual fund? (3 pt) 3 . An individual stock in the highest 25% of prices had a dollar value of at least how much? (2 pt) 4. If an individual stock price falls in the middle 50% of stock prices for this mutual fund, it must have a value 50 100 150 200 between what two prices? Name them both. LEXCX (4 pt) 5. Is the shape of the distribution of individual stock prices in this mutual fund approximately symmetric, left- skewed, or right-skewed? How do you know that from the boxplot? 4 pt) 6. Is the mean or the median a more appropriate measure of center for a distribution with this shape? Why? (4 pt) 7. Would you expect the mean of the individual stock prices within this mutual fund to be greater than, less than, or approximately equal to the median? Explain your choice. (4 pt)