2.34 Prime Minister's Children The table below shows the names of 22 selected prime ministers of Canada along with the number of children in their family.

a. Construct a relative frequency histogram to describe the data. How would you describe the shape of this distribution?

b. Calculate the mean and the standard deviation for the data set.

c. Construct the intervals s, 2s, and x + 3s. Find the percentage of measurements falling into these three intervals and compare with the cor- responding percentages given by Tchebysheff's Theorem and the Empirical Rule.

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Name Children Name Children Macdonald, Sir John A. 3 Saint-Laurent, Louis Stephen 5 MacKenzie, Alexander 3 Diefenbaker, John D. 0 Abbott, John J. 8 Pearson, Lester B. 2 Thompson, John S. D. 9 Trudeau, Pierre Elliott 4 Bowell, Mackenzie 9 Clark, C. Joseph 1 Tupper, Charles 6 Turner, John N. 4 Laurier, Wilfred 0 Mulroney, Brian 4 Borden, Robert L. 0 Campbell, Kim 0 Meighen, Arthur 3 Chrtien, Jean King, William Lyon Mackenzie 0 Martin, Paul Bennett, Richard Bedford 0 Harper, Stephen 332