Compare the mean and median values for the account balances. Does the difference between these two measures of central tendency give a clue as to the shape of the histogram?

July 5, 2020
Write the algebraic formulas for the population and sample standard deviation.
July 5, 2020

Subject: Mathematics    / Statistics
Any help would be greatly appreciated!

a) From the Century National Bank Data construct a frequency table and histogram for the 60 customer account balances shown in column A. Use an interval width of \$400. Comment on the shape of the histogram.

(b) Compare the mean and median values for the account balances. Does the difference between these two measures of central tendency give a clue as to the shape of the histogram?

(c) Construct a scatter plot to illustrate the relationship between frequency of ATM use ( column B) and account balance (column A). Do you see any evidence that customers with larger account balances use the ATM more often?

Balance,\$’s ATM use
1756
13
748
9
1501
10
1831
10
1622
14
1886
17
740
6
1593
10
1169
6
2125
18
1554
12
1474
12
1913
6
1218
10
1006
12
2215
20
137
167
343
2557
2276
1494
2144
1995
1053
1526
1120
1838
1746
1616
1958
634
580
1320
1675
789
1735
1784
1326
2051
1044
1885
1790
765
1645
32
1266
890
2204 7
5
7
20
15
11
17
10
8
8
8
7
11
10
6
2
4
4
6
8
12
11
16
14
7
10
11
4
6
2
11
7
14 2409
1338
2076
1708
2138
2375
1455
1487
1675
1989
2156 16
14
12
13
18
12
9
8
6
12
14 US annual average prices, 1990-2014 Price oil, \$/bar. Price gas, ¢/gal.
24.5
21.5
20.6
18.5
17.2
18.4
22.2
20.6
14.4
19.3
30.3
25.9
26.1
31.1
41.4
56.5
66.1
72.4
99.6
61.7
79.4
94.9
94.1
97.9
93.2 116
114
113
111
111
115
123
123
106
117
151
146
136
159
188
230
259
281
326
235
278
353
363
351
336

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