24.2k views
3 votes
1Here is data on the number of cases of whooping cough from 1939 to 1955.year number of cases in the image attacheda) Make a new table that orders the data by year.b) Which years in this period of time had fewer than 100,000 cases of whooping cough?c) Based on this data, would you expect 1956 to have closer to 50,000 cases or closer to100,000 cases?

1Here is data on the number of cases of whooping cough from 1939 to 1955.year number-example-1
User Tdpu
by
4.0k points

1 Answer

5 votes

Answer

a)

1939 | 103,188

1940 | 183,866

1941 | 222,202

1942 | 191,383

1943 | 191,890

1944 | 109,873

1945 | 133,792

1946 | 109,860

1947 | 156,517

1948 | 74,715

1949 | 69,479

1950 | 120, 718

1951 | 68,687

1952 | 45,030

1953 | 37,129

1954 | 60,866

1955 | 62, 786

b) 1948, 1949, 1951, 1952, 1953, 1954, 1955 all had fewer than 100,000 cases of whooping cough.

7 years out of 17 years had fewer than 100,000 cases of whooping cough.

c) Based on the data, we expect 1956 to have closer to 50,000 cases of whooping cough.

Check Explanation for more

Step-by-step explanation

a) The first question asks us to arrange the table in an order that arranges them by year.

1939 | 103,188

1940 | 183,866

1941 | 222,202

1942 | 191,383

1943 | 191,890

1944 | 109,873

1945 | 133,792

1946 | 109,860

1947 | 156,517

1948 | 74,715

1949 | 69,479

1950 | 120,718

1951 | 68,687

1952 | 45,030

1953 | 37,129

1954 | 60,866

1955 | 62,786

b) Which years in this period had fewer than 100,000 cases of whooping cough?

1948, 1949, 1951, 1952, 1953, 1954, 1955 all had fewer than 100,000 cases of whooping cough.

7 years out of 17 years had fewer than 100,000 cases of whooping cough.

c) Based on the data provided, would we expect year 1956 to have closer to 50,000 cases or closer to 100,000 cases.

From the pattern of the number of whooping cough cases, year by year, we can see that the numbers decline (albeit not steadily nor consistently) year after year with only one or two years serving as serious outliers where the numbers spiked in that year, then, the decline from year to year still continues.

And seeing that none of the close years leading to 1956 had close to 100,000 cases, and in fact, this decline below 100,000 cases continues, with some years even declining below the 50,000 cases mark.

Hence, it is logical and clear to predict (bar any outrageous circumstances) that the number of expected cases of whooping cough in 1956 should be closer to the 50,000 cases mark than the 100,000 cases mark.

Hope this Helps!!!

User Hiei
by
3.1k points